3D graphics in MATLAB

Hello! Could you help me with an issue? I'm trying to plot this figure:

u = 0:pi/5:4*pi;

v = 0:0.05:1;

X = v.*cos(u)-(1/2).*(v.^2).*cos(2*u);

Y = -v.*sin(u)-(1/2).*(v.^2).*sin(2*u);

Z = 4.*(v.^(3/2)).*cos(3.*u/2)/3;

figure('Color','w')

clf

s = surf(X,Y,Z, ...

'LineStyle','none', ...

'FaceLighting','gouraud', ...

'FaceColor','interp');

But MATLAB keeps telling me that Z must be a matrix, not a scalar or vector. How can I solve this problem?

Thanks for your help!

Answer 1

[Star Strider]

Solve it with the magic of meshgrid:

u = 0:pi/5:4*pi;
v = 0:0.05:1;
[u,v] = meshgrid(u,v);

The rest of your code remains unchanged, and it produces an interesting looking plot.