Wikipedia

File:Symmetric group 4; permutohedron 3D; transpositions (1-based).png

Original file ‎(3,900 × 4,000 pixels, file size: 1.36 MB, MIME type: image/png)

Summary

Description
the six edge directions

Permutohedron of the symmetric group S4

Parallel edges have the same color. The color shows which two places are swapped, as indicated by the triangle of pairs in the bottom right corner.
In the bottom vertex of an edge the elements on these two places are in their natural order, and in the top vertex they are reversed.
(Consequently, the bottom vertex of the whole diagram is completely in natural order, and the top vertex is completely reversed.)

 
This image was created with POV-Ray.
trunc_octa_perm.pov
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions
SVG
0-based

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

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

17 January 2020

File history

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

Date/TimeThumbnailDimensionsUserComment
current18:06, 17 January 2020Thumbnail for version as of 18:06, 17 January 20203,900 × 4,000 (1.36 MB)WatchduckUser created page with UploadWizard
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://en.wikipedia.org/wiki/File:Symmetric_group_4;_permutohedron_3D;_transpositions_(1-based).png"