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

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Original file ‎(SVG file, nominally 3,932 × 3,508 pixels, file size: 180 KB)

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Description
Permutations in rev. colex. order

Permutohedron of the symmetric group S3

The results of the permutations, shown in black circles below their matrices, are the coordinates of the permutohedron.

There is also:
left action
last ⋅ first
This is:
right action
first ⋅ last
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions
with permuted triangles as vertices
similar file with the same six permutation matrices

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

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Date/TimeThumbnailDimensionsUserComment
current10:54, 11 August 2019Thumbnail for version as of 10:54, 11 August 20193,932 × 3,508 (180 KB)Watchduck (talk | contribs)gray indices in right matrix
20:26, 29 May 2017Thumbnail for version as of 20:26, 29 May 20173,932 × 3,508 (181 KB)Watchduck (talk | contribs)User created page with UploadWizard

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