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Bucky Balls

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Bucky Balls are named after Buckminster Fuller.
These are all made with triangles. There are always 12 vertices where 5 edges meet. These vertices may be replaced by pentagons.
Other vertices have 6 edges.
The edge count is with no pentagons replacing the 5 vertex.

90 edges   120 edges     210 edges
270 edges 360 edges     390 edges
540 edges 630 edges