English: Triakis icosahedron hulls. 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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