File:Pentagonal Hexacontahedron Convex Hulls.svg
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Summary
| 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. |
| Date | |
| Source | Own work |
| Author | Jgmoxness |
| SVG development |  This diagram was created with Mathematica. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:42, 10 February 2023 | | 328 × 567 (531 KB) | Jgmoxness | corrected hulls |
| 22:00, 10 February 2023 |  | 328 × 567 (483 KB) | Jgmoxness | added dodecahedron hull | |
| 20:37, 10 February 2023 |  | 334 × 433 (333 KB) | Jgmoxness | Uploaded own work with UploadWizard |
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