This could also be called one of many possible faceted truncated icosidodecahedra. I made it using *Stella 4d*, which you can try and/or buy here. Faceting is the reciprocal operation of stellation, and involves connecting the vertices of a polyhedron into faces which are unlike those of the original polyhedron. At least some, and sometimes all, of the faceted faces intersect each other, inside the polyhedron’s convex hull, as is the case here.

For comparison, here is that convex hull: a (non-faceted) great rhombicosidodecahedron, also made using *Stella*.

For a different faceting of this polyhedron, just look here: https://robertlovespi.wordpress.com/2013/11/19/a-faceting-of-the-great-rhombicosidodecahedron/

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Now that would the complicated and then the simple version.

Leslie

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My goodness, that is intricate. You could start designing stained glass windows if only these were flat!

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