Plotting Implicit Function in Polar Coordinate

I can plot this equation - cos(x) + cos(y) + cos(z) = 0

with cartician coordinate using this code.

syms x y z
f = @(x,y,z) cos(x) + cos(y) + cos(z);

a = 0:0.1:2*pi;
b = 0:0.1:2*pi;
c = 0:0.1:2*pi;
[X,Y,Z] = meshgrid(a,b,c);

data = f(X,Y,Z);
p = patch(isosurface(a,b,c,data,0));
isonormals(X,Y,Z,data,p)
cdata = smooth3(rand(size(data)),'box',7);
isocolors(X,Y,Z,cdata,p)
p.FaceColor = 'interp';
p.EdgeColor = 'none';
view(150,30)
daspect([1 1 1])
axis tight
camlight
lighting gouraud

But now I would like to plot in r, theta, z coordinate like a coin shape fill with this surface how can I do that ?

Answer 1

[Divija Aleti]

Hi Teerapong,

Have a look at the following links:

https://www.mathworks.com/help/matlab/ref/cart2pol.html

https://www.mathworks.com/help/matlab/ref/polarplot.html

Additionally, you can download 3D Polar plot from file exchange, which may help:

https://www.mathworks.com/matlabcentral/fileexchange/13200-3d-polar-plot

Regards,

Divija