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File:Pyritohedral great icosahedron core.png

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A great icosahedron with its pentagrammatic pyramids cut of

This figure is like an excavated dodecahedron with its self-intersecting hexagons replaced by convex hexagons.

It has the 30 edges of the dodecahedron and the 60 edges of the compound of five cubes.
Each of these pentagram edges belongs to only one hexagon. Arguably that makes is not a polyhedron.

This representation has pyritohedral symmetry, so the colors of some elements are those seen in the cube.

Great icosahedron
Excavated dodecahedron
Source Own work
Author Watchduck.svg Watchduck (a.k.a. Tilman Piesk)
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19 September 2019

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current16:45, 19 September 2019Thumbnail for version as of 16:45, 19 September 20194,000 × 4,000 (1.7 MB)Watchduckblue cube edges
22:42, 18 September 2019Thumbnail for version as of 22:42, 18 September 20194,000 × 4,000 (1.7 MB)Watchduck
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