File:E8 241-3D.png

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Summary

Description
English: 3D visualization of the E8 1_42 polytope with 2160 vertices showing 24 concentric hulls grouped by Norm'd distances from the origin from inner to outer varying opacity. This shows Platonic solid related structures (with vertex color coded vertex overlaps, Norm'd distance of hulls and vertex count). The projection basis vectors are icosahedral giving H3 symmetry:
  • u = (1, φ, 0, −1, φ, 0,0,0)
  • v = (φ, 0, 1, φ, 0, −1,0,0)
  • w = (0, 1, φ, 0, −1, φ,0,0)
For more information, see [1]
Date
Source Own work
Author Jgmoxness

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Captions

3D visualization of the E8 2_41 polytope projected to 3D showing 742 concentric hulls from inner to outer with hull grouped by Norm'd distances with vertex counts

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9 May 2020

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Date/TimeThumbnailDimensionsUserComment
current19:11, 9 May 2020Thumbnail for version as of 19:11, 9 May 20201,453 × 1,562 (568 KB)JgmoxnessUploaded own work with UploadWizard
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