Oops, I did discover an icosahedral sphere in my library. Not surprisingly, it has pentagons at the vertices as you can not subdivide a sphere into hexagons only (see Euler, if curious).
*
* @podperson
* As mentioned in posting #5:
* Tetrahedron + Stam-Loop + spherify. There is a bit on the differences Catmull-Clark vs Stam-Loop in a thread from 2010.
* The CC modifier produces quads
* The SL modifier generates tris
* This depends on the base mesh. On a cuboid object there is no difference, but tetrahedra / octahedra / icosahedra are subdivided differently.
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