File:Permutohedron of S3 with permutation results as coordinates; triangles.svg

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Summary

Description

Permutohedron of the symmetric group S3

The results of the permutations are shown as positions of triangles, and the numbers in these triangles read from left to right are the coordinates of the permutohedron.

The operations (as opposed to their results) are illustrated by arrow diagrams and their two-line notation.

The bottom rows of the two-line notation are not the coordinates of the permutohedron.
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions
with rev. colex. index numbers corresponding to the operations (not the results)
Cayley graphs with vertices in the same positions
The vertices of this cyclohedron are oriented in the same way as the triangles in this file.

The following images do the same for the dihedral group Dih4:

Licensing

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w:en:Creative Commons
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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.

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Date/TimeThumbnailDimensionsUserComment
current20:26, 29 May 2017Thumbnail for version as of 20:26, 29 May 20175,478 × 4,788 (206 KB)WatchduckUser created page with UploadWizard

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