How to generate points in triangular lattice pattern
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I want to generate set of points in a given region which will follow the triangular lattice pattern.The triangle formed by the points should be equilateral.
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Answers (1)
Michael Madelaire
on 31 Jul 2019
clear all; close all; clc;
%% Triangular grid information
h_dist = 5; % Horizontal distance
v_dist = sqrt(h_dist^2-(h_dist/2)^2); % Vertical distance
%% Region size
x_lim = 100;
y_lim = 100;
%% Generate grid
trigrid = [];
y_current = 0;
xx = 0;
displacement = 0;
while y_current < y_lim
if displacement == 0
xx = [0:h_dist:x_lim]';
yy = ones(length(xx), 1)*y_current;
displacement = 1;
else
xx = [h_dist/2:h_dist:x_lim]';
yy = ones(length(xx), 1)*y_current;
displacement = 0;
end
trigrid = [trigrid; [xx,yy]];
y_current = y_current + v_dist;
end
%% Plot
figure()
plot(trigrid(:,1), trigrid(:,2), 'o', 'markersize', 2);
grid on;
xlim([-h_dist, x_lim+h_dist]);
ylim([-v_dist, y_lim+v_dist]);
1 Comment
Parikshit Vyas
on 5 Feb 2023
Hi ,
Can you please explain
- xx = [0:h_dist:x_lim]'
- ones(length(xx), 1)
- [trigrid; [xx,yy]]
these lines. Also if you can give python equivalent for them , it would be great.
TIA
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