File:E8 142-3D concentric hull list.png

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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

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
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  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

3D visualization of the E8 1_42 polytope projected to 3D showing 74 concentric hulls grouped by Norm'd distances from the origin from inner to outer with hull vertex counts

Items portrayed in this file

depicts

inception

9 May 2020

File history

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Date/TimeThumbnailDimensionsUserComment
current18:27, 9 May 2020Thumbnail for version as of 18:27, 9 May 20201,574 × 7,917 (1.66 MB)commons>JgmoxnessUploaded own work with UploadWizard

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