Plotting two surfaces in cylindrical coordinates
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Hello,
I need to plot the following surfaces given by:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1148305/image.png)
where ρ is the radius, z is the height and ϕthe azimuth.
are constants with
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1148310/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1148315/image.png)
The first surface denotes a torus.
1 Comment
Answers (1)
Gautam Chettiar
on 7 Oct 2022
theta = linspace(0, 10 * pi);
z = linspace(0, 5);
[Theta, Z] = meshgrid(theta, z);
% Set the constants
% c >= a
a = 5;
c = 10;
r = sqrt(c ^ 2 - a ^ 2 - z .^ 2) + c;
[x, y, z] = pol2cart(Theta, r, Z);
mesh(x, y, z);
axis equal
2 Comments
Gautam Chettiar
on 7 Oct 2022
I implemented it, but I faced the complex datatype issue, so I used abs() to fix it, if its wrong then please choose appropriate parameters for the same:
clc
clear all
close all
theta = linspace(0, 2 * pi);
z = linspace(0, 5);
[Theta, Z] = meshgrid(theta, z);
% Set the constants
% c >= a
a = 10;
c = 10;
phi0 = 0;
r = abs(sqrt(2 * a * z .* tan(theta - phi0) - z .^ 2 + a ^ 2)) ;
[x, y, z] = pol2cart(Theta, r, Z);
mesh(x, y, z);
axis equal
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