MATLAB绘制克莱因瓶

clc;close all;clear all;warning off;% clear all
rand('seed', 100);
randn('seed', 100);
format long g;


% Parameters
u_range = linspace(0, 2*pi, 100);
v_range = linspace(0, pi, 50);
[U, V] = meshgrid(u_range, v_range);

% Parametric equations for the Klein bottle
x = (3 + cos(U/2).*cos(V) - 0.5*cos(U).*cos(2*V) - sin(U/2).*sin(2*V)).*cos(U);
y = (3 + cos(U/2).*cos(V) - 0.5*cos(U).*cos(2*V) - sin(U/2).*sin(2*V)).*sin(U);
z = 4*sin(U/2).*cos(V);

% Plot the Klein bottle
figure;
surf(x, y, z, 'FaceColor', 'blue', 'EdgeColor', 'none');
hold on;
xlabel('X');
ylabel('Y');
zlabel('Z');
title('Klein Bottle');
grid on;
axis equal;
view(3); % Set the viewing angle
camlight; % Add lighting
lighting phong; % Use phong lighting
hold off;