File:Pyritohedral great icosahedron core.png

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Description

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
Dodecahedron
Cube
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
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I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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This file is licensed under the Creative Commons Attribution 4.0 International license.
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Date/TimeThumbnailDimensionsUserComment
current16:45, 19 September 2019Thumbnail for version as of 16:45, 19 September 20194,000 × 4,000 (1.7 MB)Watchduck (talk | contribs)blue cube edges
22:42, 18 September 2019Thumbnail for version as of 22:42, 18 September 20194,000 × 4,000 (1.7 MB)Watchduck (talk | contribs)

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