create klein bottle in matlab

main.m
% Klein bottle parameters
u = linspace(0,2*pi,50);
v = linspace(0,2*pi,50);
[U,V] = meshgrid(u,v);

% Parametric equations for Klein bottle
x = (2+cos(V)).*cos(U);
y = (2+cos(V)).*sin(U);
z = sin(V) .* (cos(U/2) - 1);

% Plot the Klein bottle
figure;
surf(x,y,z);
axis equal;
title('Klein Bottle');
xlabel('X');
ylabel('Y');
zlabel('Z');
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