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Write a MATLAB script to visualize a parametric surface representing a torus ( doughnut shape ) ?in 3 D space. The parametric equations for a

Write a MATLAB script to visualize a parametric surface representing a torus (doughnut shape) ?in 3D space. The parametric equations for a torus with major radius R and minor radius r are given by:

x(u,v)=(R+rcos(v))cos(u)

y(u,v)=(R+rcos(v))sin(u)

z(u,v)=rsin(v)

Generate a 3D surface plot for a torus with R=3 ?and r=1 ?over the parameter ranges u in [0,2\pi ] ?and v in [0,2\pi ]. ?Include labels for the axes and a title for the plot.

image

Z-axis cy 3D Parametric Surface: Torus 2 Y-axis 0 2 -2 X-axis

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