How to generate points in triangular lattice pattern

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.

Answer 1

[Michael Madelaire]

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]);

[Parikshit Vyas]

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