One nice thing to realise about the formula is that for any given parameter u, the Z coordinate is fixed and the X and Y coordinates describe an ellipse of the form
x = a'*cos(v)
y = b'*sin(v)
This allows you to factor out the variable v entirely, and end up with a smoother and simpler surface:
EllipticHyperbol3.gh (10.5 KB)
(edited from HS_Kim’s answer)
