and

Perform Boolean intersection operation on two shapes

Syntax

and(shape1,shape2)

c = and(shape1,shape2)

Description

and(shape1,shape2) plots a shape generated by intersecting theshape1 and shape2. Alternatively, you can also use the '&' operator to intersect the shapes (shape1 & shape2).

c = and(shape1,shape2) generates the shape obtained by intersecting shape1 and shape2 and returns a polygon object for resultant 2-D shape or a custom 3-D object for resultant 3-D shape. Alternatively, you can also use the '&' operator to intersect the shapes (c = shape1 & shape2).

Examples

Intersect Rectangle and Circle

Create a rectangular and circular shape and intersect them.

r  = antenna.Rectangle;
c  = antenna.Circle; 
r&c;

Create Custom Shape by Intersecting Shapes

This example shows how to create a custom shape using a 3-D trapezoid and sphere.

Create and view a 3-D trapezoid.

a = shape.Custom3D(Color=[0.9290 0.6940 0.1250]);
show(a)

Create and view a sphere.

b = shape.Sphere(Color=[0.9290 0.6940 0.1250]);
show(b)

Create and view the shape formed by the intersection of these two shapes.

c = and(a,b);
show(c)

Input Arguments

shape1,shape2 — Shapes to intersect

shape object

Shapes to intersect, specified as objects from the following list:

• 2-D shapes without material properties:

  • antenna.Circle

  • antenna.Ellipse

  • antenna.Polygon

  • antenna.Rectangle

  • antenna.Triangle

• 2-D and 3-D shapes with material properties:

  • shape.Circle

  • shape.Ellipse

  • shape.Rectangle

  • shape.Polygon

  • shape.Box

  • shape.OpenBox

  • shape.Cylinder

  • shape.OpenCylinder

  • shape.Sphere

  • shape.Custom3D

Example: and(antenna.Rectangle,antenna.Circle)

Example: and(shape.Box,shape.Sphere)

Output Arguments

c — Resultant shape

antenna.Polygon | shape.Polygon | shape.Custom3D

Resultant shape after the Boolean intersection operation on two 2-D or 3-D shapes, returned as one of the following shape objects:

• antenna.Polygon

• shape.Polygon

• shape.Custom3D

Example: antenna.Polygon

Example: shape.Polygon

Example: shape.Custom3D

Version History

Introduced in R2017a