Acronym | gook |
Name | great octeractiocteractidiacosipentacontahexazetton |
Circumradius | sqrt[(5-sqrt(2))/2] = 1.338990 |
Coordinates | ((sqrt(2)-1)/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign |
Face vector | 2048, 14336, 26880, 28672, 19936, 8960, 2384, 288 |
Confer |
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Incidence matrix according to Dynkin symbol
o3o3o3o3o3o3x4/3x4*f . . . . . . . . | 2048 | 7 7 | 21 21 7 | 35 35 21 | 35 35 35 | 21 21 35 | 7 7 21 | 1 1 7 ---------------------+------+-----------+------------------+-----------------+-----------------+---------------+--------------+---------- . . . . . . x . | 2 | 7168 * | 6 0 1 | 15 0 6 | 20 0 15 | 15 0 20 | 6 0 15 | 1 0 6 . . . . . . . x | 2 | * 7168 | 0 6 1 | 0 15 6 | 0 20 15 | 0 15 20 | 0 6 15 | 0 1 6 ---------------------+------+-----------+------------------+-----------------+-----------------+---------------+--------------+---------- . . . . . o3x . | 3 | 3 0 | 14336 * * | 5 0 1 | 10 0 5 | 10 0 10 | 5 0 10 | 1 0 5 . . . . . o . x4*f | 4 | 0 4 | * 10752 * | 0 5 1 | 0 10 5 | 0 10 10 | 0 5 10 | 0 1 5 . . . . . . x4/3x | 8 | 4 4 | * * 1792 ♦ 0 0 6 | 0 0 15 | 0 0 20 | 0 0 15 | 0 0 6 ---------------------+------+-----------+------------------+-----------------+-----------------+---------------+--------------+---------- . . . . o3o3x . ♦ 4 | 6 0 | 4 0 0 | 17920 * * | 4 0 1 | 6 0 4 | 4 0 6 | 1 0 4 . . . . o3o . x4*f ♦ 8 | 0 12 | 0 6 0 | * 8960 * | 0 4 1 | 0 6 4 | 0 4 6 | 0 1 4 . . . . . o3x4/3x4*f ♦ 24 | 24 24 | 8 6 6 | * * 1792 ♦ 0 0 5 | 0 0 10 | 0 0 10 | 0 0 5 ---------------------+------+-----------+------------------+-----------------+-----------------+---------------+--------------+---------- . . . o3o3o3x . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 | 14336 * * | 3 0 1 | 3 0 3 | 1 0 3 . . . o3o3o . x4*f ♦ 16 | 0 32 | 0 24 0 | 0 8 0 | * 4480 * | 0 3 1 | 0 3 3 | 0 1 3 . . . . o3o3x4/3x4*f ♦ 64 | 96 96 | 64 48 24 | 16 8 8 | * * 1120 ♦ 0 0 4 | 0 0 6 | 0 0 4 ---------------------+------+-----------+------------------+-----------------+-----------------+---------------+--------------+---------- . . o3o3o3o3x . ♦ 6 | 15 0 | 20 0 0 | 15 0 0 | 6 0 0 | 7168 * * | 2 0 1 | 1 0 2 . . o3o3o3o . x4*f ♦ 32 | 0 80 | 0 80 0 | 0 40 0 | 0 10 0 | * 1344 * | 0 2 1 | 0 1 2 . . . o3o3o3x4/3x4*f ♦ 160 | 320 320 | 320 240 80 | 160 80 40 | 32 10 10 | * * 448 | 0 0 3 | 0 0 3 ---------------------+------+-----------+------------------+-----------------+-----------------+---------------+--------------+---------- . o3o3o3o3o3x . ♦ 7 | 21 0 | 35 0 0 | 35 0 0 | 21 0 0 | 7 0 0 | 2048 * * | 1 0 1 . o3o3o3o3o . x4*f ♦ 64 | 0 192 | 0 240 0 | 0 160 0 | 0 60 0 | 0 12 0 | * 224 * | 0 1 1 . . o3o3o3o3x4/3x4*f ♦ 384 | 960 960 | 1280 960 240 | 960 480 160 | 384 120 60 | 64 12 12 | * * 112 | 0 0 2 ---------------------+------+-----------+------------------+-----------------+-----------------+---------------+--------------+---------- o3o3o3o3o3o3x . ♦ 8 | 28 0 | 56 0 0 | 70 0 0 | 56 0 0 | 28 0 0 | 8 0 0 | 256 * * o3o3o3o3o3o . x4*f ♦ 128 | 0 448 | 0 672 0 | 0 560 0 | 0 280 0 | 0 84 0 | 0 14 0 | * 16 * . o3o3o3o3o3x4/3x4*f ♦ 896 | 2688 2688 | 4480 3360 672 | 4480 2240 560 | 2688 840 280 | 896 168 84 | 128 14 14 | * * 16
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