WOLFRAM|DEMONSTRATIONS PROJECT

Fifty-Nine Icosahedra

stellation number

transparency

Part

:The expression {{{0.+1.Transpose[vi〚1〛],0.+1.Transpose[vi〚1〛],0.+1.Transpose[vi〚1〛]},{0.+1.Transpose[vi〚1〛],0.+1.Transpose[vi〚1〛],0.+1.Transpose[vi〚1〛]},{0.+1.Transpose[vi〚1〛],0.+1.Transpose[vi〚1〛],0.+1.Transpose[vi〚1〛]}},{1},{1,{1},{1}},18,{1},{1},{1}} cannot be used as a part specification.

Part

:The expression {Polygon[{{0.+1.Transpose[Part[2]],0.+1.Transpose[Part[2]],0.+1.Transpose[Part[2]]},{0.+1.Transpose[Part[2]],0.+1.Transpose[1],0.+1.Transpose[Part[2]]},{0.+1.Transpose[Part[2]],0.+1.Transpose[Part[2]],0.+1.Transpose[Part[2]]}}],22,1} cannot be used as a part specification.

Part

:The expression 

,23,Polygon[{{0.+1.Transpose[Part[2]],0.+1.Transpose[Part[2]],0.+1.Transpose[Part[2]]},{0.+1.Transpose[Part[2]],0.+1.Transpose[1],0.+1.Transpose[Part[2]]},{0.+1.Transpose[Part[2]],0.+1.Transpose[Part[2]],0.+1.Transpose[Part[2]]}}] cannot be used as a part specification.

General

:Further output of Part::pkspec1 will be suppressed during this calculation.

There are 59 stellations of the icosahedron. The faces of the stellations lie in one of 20 planes through the faces of the original icosahedron. Each stellation consists of a set of facets subjected to connectivity constraints (no holes).