divide a triangle with vertices (-1,1) (-1, 0) (0, 1) into n^2 triangles in matlab

main.m
% Define the vertices of the triangle
A = [-1 1];
B = [-1 0];
C = [0 1];

% Define the number of divisions
n = 5;

% Calculate the coordinates of the lines connecting the divisions
x_lines = linspace(A(1), B(1), n+1);
y_lines = linspace(C(2), A(2), n+1);

% Initialize the triangles matrix
triangles = zeros(n*n, 3);

% Loop through each square and create two triangles
index = 1;
for i = 1:n
    for j = 1:n
        % Define the vertices of the two triangles
        v1 = [x_lines(i) y_lines(j)];
        v2 = [x_lines(i+1) y_lines(j)];
        v3 = [x_lines(i) y_lines(j+1)];
        v4 = [x_lines(i+1) y_lines(j+1)];
        
        % Add the two triangles to the triangles matrix
        triangles(index, :) = [v1 v2 v3];
        triangles(index+1, :) = [v4 v2 v3];
        
        % Increment the index
        index = index + 2;
    end
end

% Plot the original triangle and the smaller triangles
patch([A(1) B(1) C(1)], [A(2) B(2) C(2)], 'b');
hold on
for i = 1:size(triangles, 1)
    patch(triangles(i, 1:2:end), triangles(i, 2:2:end), 'r');
end
axis equal
hold off
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