File:Representatives of 4-ary noble factions.svg

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only the kings

Each colored tesseract graph represents a 4-ary noble Boolean function.
They are representatives for each of the 44 factions, i.e. all 256 nobles can be derived from these by permutation.

The top left corner in each 2×2 matrix is a king, i.e. the function with the smallest Zhegalkin index in a royal faction.
The other three corners are its equivalents in the other quadrants. (Compare File:Noble 3-ary Boolean functions.svg.)

The black integers are the Zhegalkin indices of the Boolean functions.
The bigger beige integers tell the number of permutations in the beige rectangle.

The vertex colors illustrate the symmetry of the Boolean function. (This takes into account the whole tesseract, and not just its tetrahedral projection.)
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

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Date/TimeThumbnailDimensionsUserComment
current23:36, 12 December 2023Thumbnail for version as of 23:36, 12 December 20238,292 × 6,264 (410 KB)Watchduck (talk | contribs)add noble indices
19:53, 9 November 2023Thumbnail for version as of 19:53, 9 November 20238,292 × 6,264 (350 KB)Watchduck (talk | contribs)change quadrant numbers
10:24, 24 October 2023Thumbnail for version as of 10:24, 24 October 20238,292 × 6,264 (360 KB)Watchduck (talk | contribs)colors
21:23, 22 October 2023Thumbnail for version as of 21:23, 22 October 20238,292 × 6,264 (360 KB)Watchduck (talk | contribs)Uploaded own work with UploadWizard

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