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I’ve asked some questions here and seen this geometric shape mentioned a few times among other geodesic shapes, but I’m curious how exactly would I generate one about a point xyz?
Here is one reference that I’ve used for subdivided icosahedrons, based on the OpenGL Red Book. The BSD-licensed source code to my iPhone application Molecules contains code for generating simple icosahedrons and loading them into a vertex buffer object for OpenGL ES. I haven’t yet incorporated subdivision to improve the quality of the rendering, but it’s in my plans.