How to Create an Equation-Based Freeform Surface?

[jankaster]

I would like to create an equation-based freeform surface (modelling from sketch is not possible) in SpaceClaim 24R2 with ansys.geometry.core. I am new to the API and do not understand it well enough. There are no examples for this topic and after trying for a day on my own, I am reaching out to you.

In the user interface of SpaceClaim, I would choose Design -> Body -> Equation and generate a surface.

For instance, it would help me to use the "Radial Wave" example in SpaceClaim to generate a custom surface type:
x = [r][u]
y = [r][v]
z = [r]Cos(Sqrt([u][u]+[v]*[v]))
U-Range Start: -6.28
U-Range End: 6.28
V-Range Start: -6.28
V-Range End: 6.28
Scale: 1
Parameters:
r = 2

I am incredibly grateful for your support to generate python code for this example. Later, I will change the equation to another specific custom equation.

Additionally to creating a surface from an equation directly in PyANSYS, would it be possible to choose a predefined surface type from the "SurfaceEquationCustoms.xml" in %APPDATA% -> SpaceClaim?

Thank you very much in advance!