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Hexsphere Generator

Eventually, this will be a full-blown planet generator. But, for now, this is a hexsphere generator. This shape is also known as a Goldberg polyhedron or a truncated icosahedron. It is made from generating a icosahedron which is split N times for a detail level of N. The dual polyhedron of that shape is calculated which results in the hexsphere. In its smallest form (detail level of 0), it has 12 pentagon faces. As the detail level increases, it gains more hexagon faces and becomes more spherical in shape.

Detail level 0:

detail 0

Detail level 8:

detail 8