File:Lattice of the hexadecachoric group, PT.png

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as a big tesseract with small permutohedra

Lattice of the hyperoctahedral group of dimension 4
shown as a big permutohedron with small tesseracts as vertices

Coarsely, this image shows the permutohedron with the red, green and blue edges of the corresponding Cayley graph.
In detail, the edge-bundles describe vertex permutations of the tesseract, namely (0, 1), (0, 2) and (0, 6).

 
This image was created with POV-Ray.
plain_perm.pov
Permutohedron
The tesseract permutations corresponding to the three colors
Permutohedron edge-bundle from to
The highlighted permuations connected by a thick red edge are ​7 ​2 and ​11 ​8.


Edges between equivalent tesseract vertices are shown very thin. (In the other file they are shown very thick.)
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

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current20:20, 7 March 2020Thumbnail for version as of 20:20, 7 March 20207,600 × 8,000 (16.82 MB)Watchduck (talk | contribs)Uploaded own work with UploadWizard

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