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File:E8 142-3D Concentric Hulls.png

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Original file (1,161 × 2,571 pixels, file size: 1.08 MB, MIME type: image/png)

Summary

Description
English: 3D visualization of the E8 1_42 polytope with 17280 vertices showing 74 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). 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 1_42 polytope projected to 3D showing 74 concentric hulls grouped in sets of 8 from inner to outer of varying opacity with hull vertex counts

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9 May 2020

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Date/TimeThumbnailDimensionsUserComment
current18:27, 9 May 2020Thumbnail for version as of 18:27, 9 May 20201,161 × 2,571 (1.08 MB)JgmoxnessUploaded own work with UploadWizard

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