3D & 4D Solids using Quaternion Weyl Orbits from Coxeter-Dynkin ​Geometric Group Theory

Click here to view the Powerpoint presentation.

It shows code and output from my VisibLie-E8 tool generating all Platonic, Archimedean and Catalan 3D solids (including known and a few new 4D polychora from my discovery of the E8->H4 folding matrix) from quaternions given their Weyl Orbits.

If you don’t want to use the interactive Powerpoint, here is the PDF version.

See these Mathematica notebooks here and here for a more detailed look at the analysis of the Koca papers used to produce the results :

Or scroll down to see the .svg images here and here.

Greg Moxness, Tucson AZ

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