Category:Tesseract vertex permutations in square matrices (numbers)

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See also category: Tesseract vertex permutations in square matrices (colors).

The images in the table are orderd like the elements of the symmetric group S₄ in this matrix

Tesseract vertices labelled from 0 to 15

These are 24 matrices with 16 rows each. Each row shows one of the A000165(4) = 384 permutations of the tesseract as a permutations of its vertices.
The red fields are fixed points, i.e. their value is equal to their place. There are 105 rows with fixed points, but only 49 patterns of fixed points.

Relationship to subspaces
There are 49 different non-empty 16-bit rows in these matrices. In Tesseract subspaces (image set) they correspond to the subspaces with red vertices (4, 3b, 2c, 2d, 1d). Below is a matrix of each type with the subspace corresponding to its top row. (The colors green and orange here and in the subspaces have nothing to do with each other.)
identity	green 6	bold 7	white 8	orange 18
4	3b11	2c11	2d15	1d7

Pages in category "Tesseract vertex permutations in square matrices (numbers)"

This category contains only the following page.

T

Template:Tesseract permutation fixed points

Media in category "Tesseract vertex permutations in square matrices (numbers)"

The following 25 files are in this category, out of 25 total.

Consecutive bit permutations 24x16, fixed points.svg 715 × 892; 398 KB
Tesseract permutation fixed points 00.svg 718 × 602; 528 KB
Tesseract permutation fixed points 01.svg 718 × 602; 534 KB
Tesseract permutation fixed points 02.svg 718 × 602; 534 KB
Tesseract permutation fixed points 03.svg 718 × 602; 534 KB
Tesseract permutation fixed points 04.svg 718 × 602; 534 KB
Tesseract permutation fixed points 05.svg 718 × 602; 534 KB
Tesseract permutation fixed points 06.svg 718 × 602; 534 KB
Tesseract permutation fixed points 07.svg 718 × 602; 534 KB
Tesseract permutation fixed points 08.svg 718 × 602; 534 KB
Tesseract permutation fixed points 09.svg 718 × 602; 534 KB
Tesseract permutation fixed points 10.svg 718 × 602; 534 KB
Tesseract permutation fixed points 11.svg 718 × 602; 534 KB
Tesseract permutation fixed points 12.svg 718 × 602; 534 KB
Tesseract permutation fixed points 13.svg 718 × 602; 534 KB
Tesseract permutation fixed points 14.svg 718 × 602; 534 KB
Tesseract permutation fixed points 15.svg 718 × 602; 534 KB
Tesseract permutation fixed points 16.svg 718 × 602; 535 KB
Tesseract permutation fixed points 17.svg 718 × 602; 534 KB
Tesseract permutation fixed points 18.svg 718 × 602; 534 KB
Tesseract permutation fixed points 19.svg 718 × 602; 534 KB
Tesseract permutation fixed points 20.svg 718 × 602; 535 KB
Tesseract permutation fixed points 21.svg 718 × 602; 534 KB
Tesseract permutation fixed points 22.svg 718 × 602; 535 KB
Tesseract permutation fixed points 23.svg 718 × 602; 534 KB

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