Category:Permutations of tesseract vertices; set partitions

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See also category: Full octahedral group; set partitions.

There are 16*24 = 384 permutations of the tesseract, 76 of them self-inverse and 154 pairs of inverses. So there could be 76+154 = 230 files of this kind.
Only some examples have been made, at least one for each conjugacy class. (Compare this category.)

examples by conjugacy class

	low mid high	out in	low high	low mid high
	even permutations			odd permutations
	low high		low high	low mid high
	odd permutations			even permutations

6 of 24 examples in conjugacy class

The file for the neutral element contains the grid and all arcs. The light colors are the original colors with opacity 27.8 on the gray background.

Pages in category "Permutations of tesseract vertices; set partitions"

This category contains only the following page.

S

Template:Symmetry group of the tesseract; set partitions

Media in category "Permutations of tesseract vertices; set partitions"

The following 36 files are in this category, out of 36 total.

Set partition of tesseract vertex permutation, conju (even, 0) high, perm (15, 0).svg 1,046 × 941; 202 KB
Set partition of tesseract vertex permutation, conju (even, 0) low, perm (0, 0).svg 1,046 × 941; 257 KB
Set partition of tesseract vertex permutation, conju (even, 0) mid, perm (3, 0).svg 1,046 × 941; 202 KB
Set partition of tesseract vertex permutation, conju (even, bold) in, perms (3, 16) and (12, 16).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (even, bold) in, perms (5, 7) and (10, 7).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (even, bold) out, perm (0, 7).svg 1,046 × 941; 201 KB
Set partition of tesseract vertex permutation, conju (even, bold) out, perm (15, 23).svg 1,046 × 941; 201 KB
Set partition of tesseract vertex permutation, conju (even, bold) out, perm (3, 7).svg 1,046 × 941; 201 KB
Set partition of tesseract vertex permutation, conju (even, green) high, perm (15, 1).svg 1,046 × 941; 202 KB
Set partition of tesseract vertex permutation, conju (even, green) high, perm (3, 6).svg 1,046 × 941; 202 KB
Set partition of tesseract vertex permutation, conju (even, green) low, perm (0, 1).svg 1,046 × 941; 200 KB
Set partition of tesseract vertex permutation, conju (even, green) mid, perms (5, 1) and (6, 1).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (even, orange), perms (0, 10) and (0, 13).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (even, orange), perms (0, 17) and (0, 22).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (even, orange), perms (0, 9) and (0, 18).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (even, orange), perms (15, 10) and (15, 13).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (even, orange), perms (15, 17) and (15, 22).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (even, orange), perms (15, 9) and (15, 18).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (even, orange), perms (3, 9) and (6, 18).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (even, orange), perms (6, 9) and (12, 18).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (even, white) high, perms (15, 3) and (15, 4).svg 1,046 × 941; 205 KB
Set partition of tesseract vertex permutation, conju (even, white) high, perms (3, 12) and (9, 8).svg 1,046 × 941; 205 KB
Set partition of tesseract vertex permutation, conju (even, white) low, perms (0, 3) and (0, 4).svg 1,046 × 941; 204 KB
Set partition of tesseract vertex permutation, conju (odd, 0) high, perm (14, 0).svg 1,046 × 941; 202 KB
Set partition of tesseract vertex permutation, conju (odd, 0) high, perm (7, 0).svg 1,046 × 941; 202 KB
Set partition of tesseract vertex permutation, conju (odd, 0) low, perm (1, 0).svg 1,046 × 941; 202 KB
Set partition of tesseract vertex permutation, conju (odd, bold), perms (1, 7) and (2, 7).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (odd, green) high, perms (13, 1) and (14, 1).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (odd, green) high, perms (7, 6) and (11, 6).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (odd, green) low, perms (1, 1) and (1, 2).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (odd, green) mid, perm (7, 1).svg 1,046 × 941; 202 KB
Set partition of tesseract vertex permutation, conju (odd, orange), perms (1, 9) and (2, 18).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (odd, orange), perms (8, 9) and (1, 18).svg 1,046 × 941; 206 KB
Set partition of tesseract vertex permutation, conju (odd, white) high, perms (1, 8) and (1, 12).svg 1,046 × 941; 205 KB
Set partition of tesseract vertex permutation, conju (odd, white) high, perms (13, 4) and (14, 3).svg 1,046 × 941; 205 KB
Set partition of tesseract vertex permutation, conju (odd, white) low, perms (7, 3) and (7, 4).svg 1,046 × 941; 205 KB

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