I am working on making a sphere located at (0,0,0) from triangles in such a way that all triangles have identical size, cover the sphere entirely and are uniformly distributed. This has turned out to be a bit more complex than I initially imagined.
My current solution will take an icosahedron and use recursive subdivision on edges to turn each triangle into 4 smaller ones (currently 6 steps og subdivision yielding a total of 81920 triangles). This solution, although acceptable, has some annoying inconsistancies - the original points in the icosahedron will have 5 outgoing edges while all other points have 6 causing the triangles near these original points to look somewhat skewed. I can't think of another solution though, which is why I posted this. I don't need a detailed solution; an idea or some thoughts will suffice, since I'm a bit stuck atm. Due to the nature of spheres and triangles, a better solution may not exist, but since this forum has helped me alot in the past, I thought I'd give it a shot.

Regards Tom