File:Full octahedral group; inversion lattice.svg

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Summary

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Description
8×6 matrix

Lattice of inversion sets of the octahedral group
In the main graph each vertex is represented as an S4 based label.
In the top left corner the pairs are indicated.

This graph has 48 vertices and 64 edges.

This is a Hasse diagram. The arrows go up, right and to the inside.
The usual rule, that arrows should go in the same direction is ignored in favor of symmetry.

with inversion sets
brown or green background: degree 3 or 2
light background: signed permutation is even
This SVG was created with Inkscape.
This file contains an Inkscape grid, which makes it an invalid SVG.
This does no harm at all, and there is no reason to remove it.
Date
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Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 4.0 International license.
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  • 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.

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Date/TimeThumbnailDimensionsUserComment
current21:40, 7 March 2024Thumbnail for version as of 21:40, 7 March 2024980 × 980 (219 KB)Watchduck (talk | contribs)vertical flip
19:23, 6 March 2024Thumbnail for version as of 19:23, 6 March 2024980 × 980 (220 KB)Watchduck (talk | contribs)Uploaded own work with UploadWizard

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