plot a torus in matlab

To plot a torus in MATLAB, we can use its parametric equation. The parametric equation for a torus with major radius R and minor radius r is given by:

main.m
x = (R + r*cos(u)) * cos(v)
y = (R + r*cos(u)) * sin(v)
z = r * sin(u)
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where u and v are the parametric variables that vary from 0 to 2π.

We can use the surf function to plot the torus in MATLAB. Here is the complete code:

main.m
% Define the torus parameters
R = 2; % major radius
r = 1; % minor radius

% Define the parametric variables
u = linspace(0, 2*pi, 50);
v = linspace(0, 2*pi, 50);
[U, V] = meshgrid(u, v);

% Compute the torus coordinates
X = (R + r*cos(U)) .* cos(V);
Y = (R + r*cos(U)) .* sin(V);
Z = r * sin(U);

% Plot the torus
figure;
surf(X, Y, Z);
axis equal;
title('Torus Plot');
xlabel('X');
ylabel('Y');
zlabel('Z');
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This code will produce a 3D plot of the torus. The surf function creates a colored surface plot of the torus. The axis equal command makes sure that the scale of the x, y, and z axes are the same. The title, xlabel, ylabel, and zlabel commands add labels to the plot.