File:Pentagonal Hexacontahedron Convex Hulls.svg

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Construction of the pentagonal hexacontahedron using convex hulls

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Description
English: Construction of the pentagonal hexacontahedron using convex hulls showing the unit circumradius icosahedron (12) and an irregular chiral snub dodecahedron (80).This is constructed from VisibLie_E8 found on TheoryOfEverything.org. Here [1] is a link to a Powerpoint presentation that shows the generation of all 3D Platonic, Archimedean and Catalan solids, as well as the popular 4D polychora using quaternion Weyl orbits from Coxeter-Dynkin ​Geometric Group Theory concepts. The first 8 slides introduce the material and my interactive demonstration, slides 9-28 review the Coxeter-Dynkin group theory with Hasse diagrams, and slides 29-48 show the 3D solid orbit generation, with slide 49-62 showing the 4D polychora with links to the higher dimensions of E8.
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Author Jgmoxness
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Date/TimeThumbnailDimensionsUserComment
current22:42, 10 February 2023Thumbnail for version as of 22:42, 10 February 2023328 × 567 (531 KB)Jgmoxness (talk | contribs)corrected hulls
22:00, 10 February 2023Thumbnail for version as of 22:00, 10 February 2023328 × 567 (483 KB)Jgmoxness (talk | contribs)added dodecahedron hull
20:37, 10 February 2023Thumbnail for version as of 20:37, 10 February 2023334 × 433 (333 KB)Jgmoxness (talk | contribs)Uploaded own work with UploadWizard

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