{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":60981,"title":"Mesh the pentagon (with the minimum number of triangles)","description":"Problem statement\r\n\r\nAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V, corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\r\n\r\nV = [1           0            0;\r\n     cos(2*pi/5) sin(2*pi/5)  0;\r\n     cos(4*pi/5) sin(4*pi/5)  0;\r\n     cos(4*pi/5) sin(-4*pi/5) 0;\r\n     cos(2*pi/5) sin(-2*pi/5) 0];\r\n\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, F. The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nTip\r\nBeware to avoid self intersecting triangles.\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1278.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 639.2px; transform-origin: 408px 639.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.525px 8px; transform-origin: 327.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.09167px 8px; transform-origin: 6.09167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 51.0833px; transform-origin: 405px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eV = [1           0            0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(2*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(4*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(-4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 127.05px 8.5px; tab-size: 4; transform-origin: 127.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(-2*pi/5) 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.442px 8px; transform-origin: 384.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 169.75px; text-align: left; transform-origin: 385px 169.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"445\" height=\"334\" style=\"vertical-align: baseline;width: 445px;height: 334px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.092px 8px; transform-origin: 131.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBeware to avoid self intersecting triangles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_pentagon()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct1 = [1 2 3;\r\n              1 3 4;\r\n              1 4 5];\r\n\r\nT_correct2 = [2 3 4;\r\n              2 4 5;\r\n              2 5 1];\r\n\r\nT_correct3 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct4 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct5 = [5 1 2;\r\n              5 2 3;\r\n              5 3 4];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct1,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct2,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct3,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct4,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct5,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_pentagon.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T05:29:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2025-08-13T05:29:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T12:59:46.000Z","updated_at":"2026-02-10T17:07:57.000Z","published_at":"2025-07-23T15:54:36.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[V = [1           0            0;\\n     cos(2*pi/5) sin(2*pi/5)  0;\\n     cos(4*pi/5) sin(4*pi/5)  0;\\n     cos(4*pi/5) sin(-4*pi/5) 0;\\n     cos(2*pi/5) sin(-2*pi/5) 0];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"445\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBeware to avoid self intersecting triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh 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the cube","description":"Problem statement : mesh the cube with quadranglar / squared faces\r\n\r\nAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\r\nA quadrangular mesh F (stands for faces here) is simply a N x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where N is the number of faces. \r\n\r\nYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, F. You will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square [1, 2, 3, 4] and [4, 3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3, 4], [2, 3, 4, 1], [3, 4, 1, 2] and [4, 1, 2, 3] are one same unique square.\r\nThe row order of the faces in the list doesn't matter.\r\n\r\nEdit / update\r\nFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first square (Z \u003e 0) here can be [1, 2, 3, 4] if counterclockwise oriented (normals outward).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1194.73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 597.367px; transform-origin: 408px 597.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.433px 8px; transform-origin: 229.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.933px 8px; transform-origin: 376.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.8583px 8px; transform-origin: 68.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA quadrangular mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.9417px 8px; transform-origin: 36.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.725px 8px; transform-origin: 16.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003efaces\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.8417px 8px; transform-origin: 54.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here) is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 185.533px 8px; transform-origin: 185.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.6667px 8px; transform-origin: 74.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of faces. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 296.108px 8px; transform-origin: 296.108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.6583px 8px; transform-origin: 80.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.4917px 8px; transform-origin: 17.4917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 66.0833px 8px; transform-origin: 66.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.975px 8px; transform-origin: 92.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique square.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.842px 8px; transform-origin: 158.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the faces in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 342.275px 8px; transform-origin: 342.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5583px 8px; transform-origin: 50.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.1583px 8px; transform-origin: 29.1583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.208px 8px; transform-origin: 148.208px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals outward).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 378px; font-family: Helvetica, 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = mesh_the_cube()\r\n  F = 1;\r\nend","test_suite":"%%\r\nF_correct = [1 2 3 4;\r\n             8 7 6 5;\r\n             1 4 8 5;\r\n             2 1 5 6;\r\n             3 2 6 7;\r\n             4 3 7 8];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_cube(),2)),sortrows(sort(F_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_cube.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":"2025-07-23T16:15:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T10:23:00.000Z","updated_at":"2026-03-31T18:43:29.000Z","published_at":"2025-07-23T10:53:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA quadrangular mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efaces\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here) is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of faces. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the faces in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals outward).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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the octahedron","description":"Problem statement\r\n\r\nAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\r\nA triangulated mesh -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, T. You will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles [1, 2, 3] and [3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3], [2, 3, 1] and [3, 1, 2] are one same unique triangle.\r\nThe row order of the triangles in the list doesn't matter.\r\n\r\nEdit / update\r\nTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first triangle (X \u003e 0, Y \u003e 0, and Z \u003e 0) here can be [1, 2, 5] if counterclockwise oriented (normals are outward oriented).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1200.23px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 600.117px; transform-origin: 408px 600.117px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.817px 8px; transform-origin: 373.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.542px 8px; transform-origin: 157.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.533px 8px; transform-origin: 206.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.242px 8px; transform-origin: 327.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.51667px 8px; transform-origin: 7.51667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.9333px 8px; transform-origin: 49.9333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 8px; transform-origin: 94.5333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.75px 8px; transform-origin: 351.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 8px; transform-origin: 52.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.2583px 8px; transform-origin: 75.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 5]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.5px 8px; transform-origin: 187.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals are outward oriented).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_octahedron()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 5;\r\n             2 3 5;\r\n             3 4 5;\r\n             4 1 5;\r\n             2 1 6;\r\n             3 2 6;\r\n             4 3 6;\r\n             1 4 6];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_octahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_octahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2025-07-23T16:11:50.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T08:24:47.000Z","updated_at":"2026-03-31T18:40:36.000Z","published_at":"2025-07-23T09:23:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals are outward oriented).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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the pentagon (with the minimum number of triangles)","description":"Problem statement\r\n\r\nAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V, corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\r\n\r\nV = [1           0            0;\r\n     cos(2*pi/5) sin(2*pi/5)  0;\r\n     cos(4*pi/5) sin(4*pi/5)  0;\r\n     cos(4*pi/5) sin(-4*pi/5) 0;\r\n     cos(2*pi/5) sin(-2*pi/5) 0];\r\n\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, F. The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nTip\r\nBeware to avoid self intersecting triangles.\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1278.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 639.2px; transform-origin: 408px 639.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.525px 8px; transform-origin: 327.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.09167px 8px; transform-origin: 6.09167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 51.0833px; transform-origin: 405px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eV = [1           0            0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(2*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(4*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(-4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 127.05px 8.5px; tab-size: 4; transform-origin: 127.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(-2*pi/5) 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.442px 8px; transform-origin: 384.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 169.75px; text-align: left; transform-origin: 385px 169.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"445\" height=\"334\" style=\"vertical-align: baseline;width: 445px;height: 334px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.092px 8px; transform-origin: 131.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBeware to avoid self intersecting triangles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_pentagon()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct1 = [1 2 3;\r\n              1 3 4;\r\n              1 4 5];\r\n\r\nT_correct2 = [2 3 4;\r\n              2 4 5;\r\n              2 5 1];\r\n\r\nT_correct3 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct4 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct5 = [5 1 2;\r\n              5 2 3;\r\n              5 3 4];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct1,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct2,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct3,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct4,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct5,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_pentagon.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T05:29:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2025-08-13T05:29:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T12:59:46.000Z","updated_at":"2026-02-10T17:07:57.000Z","published_at":"2025-07-23T15:54:36.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[V = [1           0            0;\\n     cos(2*pi/5) sin(2*pi/5)  0;\\n     cos(4*pi/5) sin(4*pi/5)  0;\\n     cos(4*pi/5) sin(-4*pi/5) 0;\\n     cos(2*pi/5) sin(-2*pi/5) 0];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"445\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBeware to avoid self intersecting triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh 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the cube","description":"Problem statement : mesh the cube with quadranglar / squared faces\r\n\r\nAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\r\nA quadrangular mesh F (stands for faces here) is simply a N x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where N is the number of faces. \r\n\r\nYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, F. You will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square [1, 2, 3, 4] and [4, 3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3, 4], [2, 3, 4, 1], [3, 4, 1, 2] and [4, 1, 2, 3] are one same unique square.\r\nThe row order of the faces in the list doesn't matter.\r\n\r\nEdit / update\r\nFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first square (Z \u003e 0) here can be [1, 2, 3, 4] if counterclockwise oriented (normals outward).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1194.73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 597.367px; transform-origin: 408px 597.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.433px 8px; transform-origin: 229.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.933px 8px; transform-origin: 376.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.8583px 8px; transform-origin: 68.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA quadrangular mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.9417px 8px; transform-origin: 36.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.725px 8px; transform-origin: 16.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003efaces\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.8417px 8px; transform-origin: 54.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here) is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 185.533px 8px; transform-origin: 185.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.6667px 8px; transform-origin: 74.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of faces. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 296.108px 8px; transform-origin: 296.108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.6583px 8px; transform-origin: 80.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.4917px 8px; transform-origin: 17.4917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 66.0833px 8px; transform-origin: 66.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.975px 8px; transform-origin: 92.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique square.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.842px 8px; transform-origin: 158.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the faces in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 342.275px 8px; transform-origin: 342.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5583px 8px; transform-origin: 50.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.1583px 8px; transform-origin: 29.1583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.208px 8px; transform-origin: 148.208px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals outward).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 378px; font-family: Helvetica, 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = mesh_the_cube()\r\n  F = 1;\r\nend","test_suite":"%%\r\nF_correct = [1 2 3 4;\r\n             8 7 6 5;\r\n             1 4 8 5;\r\n             2 1 5 6;\r\n             3 2 6 7;\r\n             4 3 7 8];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_cube(),2)),sortrows(sort(F_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_cube.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":"2025-07-23T16:15:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T10:23:00.000Z","updated_at":"2026-03-31T18:43:29.000Z","published_at":"2025-07-23T10:53:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA quadrangular mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efaces\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here) is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of faces. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the faces in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals outward).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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the octahedron","description":"Problem statement\r\n\r\nAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\r\nA triangulated mesh -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, T. You will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles [1, 2, 3] and [3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3], [2, 3, 1] and [3, 1, 2] are one same unique triangle.\r\nThe row order of the triangles in the list doesn't matter.\r\n\r\nEdit / update\r\nTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first triangle (X \u003e 0, Y \u003e 0, and Z \u003e 0) here can be [1, 2, 5] if counterclockwise oriented (normals are outward oriented).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1200.23px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 600.117px; transform-origin: 408px 600.117px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.817px 8px; transform-origin: 373.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.542px 8px; transform-origin: 157.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.533px 8px; transform-origin: 206.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.242px 8px; transform-origin: 327.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.51667px 8px; transform-origin: 7.51667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.9333px 8px; transform-origin: 49.9333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 8px; transform-origin: 94.5333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.75px 8px; transform-origin: 351.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 8px; transform-origin: 52.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.2583px 8px; transform-origin: 75.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 5]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.5px 8px; transform-origin: 187.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals are outward oriented).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_octahedron()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 5;\r\n             2 3 5;\r\n             3 4 5;\r\n             4 1 5;\r\n             2 1 6;\r\n             3 2 6;\r\n             4 3 6;\r\n             1 4 6];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_octahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_octahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2025-07-23T16:11:50.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T08:24:47.000Z","updated_at":"2026-03-31T18:40:36.000Z","published_at":"2025-07-23T09:23:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals are outward oriented).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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