Jump to content

File:Pentagonal Icositetrahedron.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (SVG file, nominally 621 × 741 pixels, file size: 402 KB)

Summary

Description
English: Combining a snub cube and octahedron to form the Pentagonal Icositetrahedron. This is constructed from VisibLie_E8 found on TheoryOfEverything.org. Here [1] is a link to a Powerpoint presentation that shows the generation of all 3D Platonic, Archimedean and Catalan solids, as well as the popular 4D polychora using quaternion Weyl orbits from Coxeter-Dynkin ​Geometric Group Theory concepts. The first 8 slides introduce the material and my interactive demonstration, slides 9-28 review the Coxeter-Dynkin group theory with Hasse diagrams, and slides 29-48 show the 3D solid orbit generation, with slide 49-62 showing the 4D polychora with links to the higher dimensions of E8.
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

Hulls of the Pentagonal Icositetrahedron

Items portrayed in this file

depicts

1 February 2023

image/svg+xml

File history

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

Date/TimeThumbnailDimensionsUserComment
current20:59, 11 February 2023Thumbnail for version as of 20:59, 11 February 2023621 × 741 (402 KB)JgmoxnessImproved visualization
15:01, 1 February 2023Thumbnail for version as of 15:01, 1 February 2023660 × 598 (350 KB)JgmoxnessUploaded own work with UploadWizard

The following page uses this file:

Metadata