Distance patterning on a spherical face

[Carbonated]

Hi all,

I'm trying to pattern a body on a spherical face with only a constant distance between the bodies as a guideline. The patterning methods I am familiar with do not allow for this result with a spherical body as base. Do you have a recommended way to achieve this?
Attached pictures of the geometry to replicate.

Thanks in advance,

 

[cowski]

Creating an arbitrary number of equidistant points on a spherical surface is a problem with no solution. There are some good approximations, but no closed form solution.

 

[Carbonated]

Thanks, I hadn't anticipated it would be such a complex feat.
I managed to get pretty close by converting the sphere to a convergent body, using NX Realize Shape to generate specific sized faces, followed by a point set using 50%U and 50%V of those faces.
Unfortunately, there are a few bad faces which make the points misaligned, and the method nonfunctional.
I'll settle with regular patterned until someone finds a way to get better results.

 

[rothers]

The only solutions are when N = 4, 6, 8 , 12 or 20, so not much use in your case. the best you will get is an approximation, probably using a tri/hex mesh pattern.

https://en.wikipedia.org/wiki/Platonic_solid

 

[Toost]

I assume that you could use the "NX Algorithmic modeling" for this. ( i do not have the knowledge.)