File:120-Cell showing the individual 8 concentric hulls and in combination.svg
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120-Cell_showing_the_individual_8_concentric_hulls_and_in_combination.svg (SVG file, nominally 1,219 × 1,291 pixels, file size: 1.65 MB)
Summary
| Description |
English: The 120-Cell showing the individual 8 concentric hulls and in combination. Orthogonal projection of the 120-cell using any 3 of these Cartesian coordinate dimensions forms an outer hull of a Chamfered dodecahedron of Norm=√8.
Hulls 1, 2, & 7 are each overlapping pairs of dodecahedrons. 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 | 16:05, 13 September 2022 | | 1,219 × 1,291 (1.65 MB) | wikimediacommons>Jgmoxness | this time with Sqrt[8] Norm vs. unity |
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