I don’t know how to call it, it’s a kind of sphere, with kind of tentacles. It may look like a microbe.
What should be parametric:

The number of protuberances (tentacles)

The size of protuberances

Eventually the number of protuberance stage

I think i can achieve this from an Icosahedron, by taking some group of 6 faces (w Poisson Disc for regularity), extrude/scale them along the normal, and finally applying a kind of “HyperNurbs” modifier (the examples give a solution).

Does anyone have advice or thoughts to share on how do to it?

For a constructive solution, in which different parameters can be set, a self-defined geometry is useful. I myself would take a sphere with holes as a base. (triangulation according to an algorithm by E. Hartmann) Triangulation sphere with holes

I did it for cylinders. You can use a function of the outside line instead of the cylinder with the linear outside line. Then you have to calculate the normals a little more complicated. But it’s certainly not that hard.

However, you may be able to take a CylinderBufferGeometry and change the distance of the vertices to the centerline (radius) according to a function.

@marquizzo You’re right Marching Cubes is a solution, i was thinking of “meta-ball”. I believed that “Marching” was referring to raymarching, (ie no meshes, compute shading only), but there’s a mesh here (marching is a general term for algorithm seeking for a solution step by step ex Marching cube wikipedia).

@hofk Your example are awesome. Dynamic triangulation should be considered, but I’m afraid of getting into complex math problems that I can’t solve on my own. I will take a look into your code.

After being able to produce the mesh, i would like to move some mobile on the surface of that mesh. In a way, in the same way that does Paper IO 3D.

The other things I needed are not that complicated. These are the common things you need for 3D. Normals, binormals, tangents, circle equation in space etc.