Langbahn Team – Weltmeisterschaft

File:E8 241-3D.png

Original file (1,453 × 1,562 pixels, file size: 568 KB, MIME type: image/png)

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

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:
  • to share – to copy, distribute and transmit the work
  • 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 2_41 polytope projected to 3D showing 742 concentric hulls from inner to outer with hull grouped by Norm'd distances with vertex counts

Items portrayed in this file

depicts

geometry

creator

some value

author name string: Jgmoxness
Wikimedia username: Jgmoxness

copyright status

copyrighted

copyright license

Creative Commons Attribution-ShareAlike 4.0 International

inception

9 May 2020

source of file

original creation by uploader

File history

Click on a date/time to view the file as it appeared at that time.

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

The following 2 pages use this file:

Metadata