| Acronym | sotho |
| Name |
small terated hemiocteract, hexic octeract |
| Circumradius | sqrt(3) = 1.732051 |
| Coordinates | (3/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all even changes of sign |
| Face vector | 3584, 48384, 222208, 474880, 513856, 269248, 56496, 3632 |
| Confer |
|
Incidence matrix according to Dynkin symbol
x3o3o *b3o3o3o3x3o o3o3o *b3o3o3o3o3o | 3584 | 15 12 | 60 120 30 6 | 20 60 360 180 60 40 15 | 15 120 30 240 360 180 120 90 30 20 | 6 60 120 60 6 60 120 120 120 180 30 60 12 15 | 1 12 30 30 40 60 12 30 60 60 15 2 6 | 2 6 15 20 6 1 -------------------+------+-------------+-------------------------+--------------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+------------------------- x . . . . . . . | 2 | 26880 * | 8 8 0 0 | 4 12 48 12 4 0 0 | 6 24 8 48 48 24 8 6 0 0 | 4 24 24 12 2 16 24 24 16 24 2 4 0 0 | 1 8 12 12 8 12 4 8 12 8 1 0 0 | 2 4 6 4 2 0 . . . . . . x . | 2 | * 21504 | 0 10 5 1 | 0 0 30 30 10 10 5 | 0 10 0 20 60 30 30 30 10 10 | 0 5 20 10 0 5 20 20 30 60 10 30 5 10 | 0 1 5 5 10 20 5 5 20 30 10 1 5 | 1 1 5 10 5 1 -------------------+------+-------------+-------------------------+--------------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+------------------------- x3o . . . . . . | 3 | 3 0 | 71680 * * * | 1 3 6 0 0 0 0 | 3 6 3 12 6 3 0 0 0 0 | 3 12 6 3 1 6 6 6 2 3 0 0 0 0 | 1 6 6 6 2 3 2 3 3 1 0 0 0 | 2 3 3 1 1 0 x . . . . . x . | 4 | 2 2 | * 107520 * * | 0 0 6 3 1 0 0 | 0 3 0 6 12 6 3 3 0 0 | 0 3 6 3 0 2 6 6 6 12 1 3 0 0 | 0 1 3 3 3 6 2 2 6 6 1 0 0 | 1 1 3 3 2 0 . . . . . o3x . | 3 | 0 3 | * * 35840 * | 0 0 0 6 0 4 1 | 0 0 0 0 12 0 12 6 6 4 | 0 0 4 0 0 0 4 0 12 12 6 12 4 6 | 0 0 1 0 4 4 4 0 4 12 6 1 4 | 1 0 1 4 4 1 . . . . . . x3o | 3 | 0 3 | * * * 7168 | 0 0 0 0 10 0 5 | 0 0 0 0 0 30 0 30 0 10 | 0 0 0 10 0 0 0 20 0 60 0 30 0 10 | 0 0 0 5 0 20 0 5 20 30 10 0 5 | 0 1 5 10 5 1 -------------------+------+-------------+-------------------------+--------------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+------------------------- x3o3o . . . . . ♦ 4 | 6 0 | 4 0 0 0 | 17920 * * * * * * | 3 6 0 0 0 0 0 0 0 0 | 3 12 6 3 0 0 0 0 0 0 0 0 0 0 | 1 6 6 6 2 3 0 0 0 0 0 0 0 | 2 3 3 1 0 0 x3o . *b3o . . . . ♦ 4 | 6 0 | 4 0 0 0 | * 53760 * * * * * | 1 0 2 4 0 0 0 0 0 0 | 2 4 0 0 1 4 2 2 0 0 0 0 0 0 | 1 4 2 2 0 0 2 2 1 0 0 0 0 | 2 2 1 0 1 0 x3o . . . . x . ♦ 6 | 6 3 | 2 3 0 0 | * * 215040 * * * * | 0 1 0 2 2 1 0 0 0 0 | 0 2 2 1 0 1 2 2 1 2 0 0 0 0 | 0 1 2 2 1 2 1 1 2 1 0 0 0 | 1 1 2 1 1 0 x . . . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * * 107520 * * * | 0 0 0 0 4 0 2 1 0 0 | 0 0 2 0 0 0 2 0 4 4 1 2 0 0 | 0 0 1 0 2 2 2 0 2 4 1 0 0 | 1 0 1 2 2 0 x . . . . . x3o ♦ 6 | 3 6 | 0 3 0 2 | * * * * 35840 * * | 0 0 0 0 0 6 0 3 0 0 | 0 0 0 3 0 0 0 6 0 12 0 3 0 0 | 0 0 0 3 0 6 0 2 6 6 1 0 0 | 0 1 3 3 2 0 . . . . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * * * 35840 * | 0 0 0 0 0 0 3 0 3 1 | 0 0 0 0 0 0 0 0 3 0 3 3 3 3 | 0 0 0 0 1 0 3 0 0 3 3 1 3 | 1 0 0 1 3 1 . . . . . o3x3o ♦ 6 | 0 12 | 0 0 4 4 | * * * * * * 8960 | 0 0 0 0 0 0 0 6 0 4 | 0 0 0 0 0 0 0 0 0 12 0 12 0 6 | 0 0 0 0 0 4 0 0 4 12 6 0 4 | 0 0 1 4 4 1 -------------------+------+-------------+-------------------------+--------------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+------------------------- x3o3o *b3o . . . . ♦ 8 | 24 0 | 32 0 0 0 | 8 8 0 0 0 0 0 | 6720 * * * * * * * * * | 2 4 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 0 0 0 0 0 | 2 2 1 0 0 0 x3o3o . . . x . ♦ 8 | 12 4 | 8 6 0 0 | 2 0 4 0 0 0 0 | * 53760 * * * * * * * * | 0 2 2 1 0 0 0 0 0 0 0 0 0 0 | 0 1 2 2 1 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0 x3o . *b3o3o . . . ♦ 5 | 10 0 | 10 0 0 0 | 0 5 0 0 0 0 0 | * * 21504 * * * * * * * | 1 0 0 0 1 2 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 2 1 0 0 0 0 0 | 2 1 0 0 1 0 x3o . *b3o . . x . ♦ 8 | 12 4 | 8 6 0 0 | 0 2 4 0 0 0 0 | * * * 107520 * * * * * * | 0 1 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0 1 1 1 0 0 0 0 | 1 1 1 0 1 0 x3o . . . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 0 3 3 0 0 0 | * * * * 143360 * * * * * | 0 0 1 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 1 1 1 0 1 1 0 0 0 | 1 0 1 1 1 0 x3o . . . . x3o ♦ 9 | 9 9 | 3 9 0 3 | 0 0 3 0 3 0 0 | * * * * * 71680 * * * * | 0 0 0 1 0 0 0 2 0 2 0 0 0 0 | 0 0 0 2 0 2 0 1 2 1 0 0 0 | 0 1 2 1 1 0 x . . . o3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 0 0 4 0 2 0 | * * * * * * 53760 * * * | 0 0 0 0 0 0 0 0 2 0 1 1 0 0 | 0 0 0 0 1 0 2 0 0 2 1 0 0 | 1 0 0 1 2 0 x . . . . o3x3o ♦ 12 | 6 24 | 0 12 8 8 | 0 0 0 4 4 0 2 | * * * * * * * 26880 * * | 0 0 0 0 0 0 0 0 0 4 0 2 0 0 | 0 0 0 0 0 2 0 0 2 4 1 0 0 | 0 0 1 2 2 0 . . . o3o3o3x . ♦ 5 | 0 10 | 0 0 10 0 | 0 0 0 0 0 5 0 | * * * * * * * * 21504 * | 0 0 0 0 0 0 0 0 0 0 1 0 2 1 | 0 0 0 0 0 0 2 0 0 0 1 1 2 | 1 0 0 0 2 1 . . . . o3o3x3o ♦ 10 | 0 30 | 0 0 20 10 | 0 0 0 0 0 5 5 | * * * * * * * * * 7168 | 0 0 0 0 0 0 0 0 0 0 0 3 0 3 | 0 0 0 0 0 0 0 0 0 3 3 0 3 | 0 0 0 1 3 1 -------------------+------+-------------+-------------------------+--------------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+------------------------- x3o3o *b3o3o . . . ♦ 16 | 80 0 | 160 0 0 0 | 40 80 0 0 0 0 0 | 10 0 16 0 0 0 0 0 0 0 | 1344 * * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 x3o3o *b3o . . x . ♦ 16 | 48 8 | 64 24 0 0 | 16 16 32 0 0 0 0 | 2 8 0 8 0 0 0 0 0 0 | * 13440 * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x3o3o . . o3x . ♦ 12 | 18 12 | 12 18 4 0 | 3 0 12 6 0 0 0 | 0 3 0 0 4 0 0 0 0 0 | * * 35840 * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 x3o3o . . . x3o ♦ 12 | 18 12 | 12 18 0 4 | 3 0 12 0 6 0 0 | 0 3 0 0 0 4 0 0 0 0 | * * * 17920 * * * * * * * * * * | 0 0 0 2 0 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0 x3o . *b3o3o3o . . ♦ 6 | 15 0 | 20 0 0 0 | 0 15 0 0 0 0 0 | 0 0 6 0 0 0 0 0 0 0 | * * * * 3584 * * * * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 0 0 | 2 0 0 0 1 0 x3o . *b3o3o . x . ♦ 10 | 20 5 | 20 10 0 0 | 0 10 10 0 0 0 0 | 0 0 2 5 0 0 0 0 0 0 | * * * * * 21504 * * * * * * * * | 0 1 0 0 0 0 1 1 0 0 0 0 0 | 1 1 0 0 1 0 x3o . *b3o . o3x . ♦ 12 | 18 12 | 12 18 4 0 | 0 3 12 6 0 0 0 | 0 0 0 3 4 0 0 0 0 0 | * * * * * * 35840 * * * * * * * | 0 0 1 0 0 0 1 0 1 0 0 0 0 | 1 0 1 0 1 0 x3o . *b3o . . x3o ♦ 12 | 18 12 | 12 18 0 4 | 0 3 12 0 6 0 0 | 0 0 0 3 0 4 0 0 0 0 | * * * * * * * 35840 * * * * * * | 0 0 0 1 0 0 0 1 1 0 0 0 0 | 0 1 1 0 1 0 x3o . . o3o3x . ♦ 12 | 12 18 | 4 18 12 0 | 0 0 6 12 0 3 0 | 0 0 0 0 4 0 3 0 0 0 | * * * * * * * * 35840 * * * * * | 0 0 0 0 1 0 1 0 0 1 0 0 0 | 1 0 0 1 1 0 x3o . . . o3x3o ♦ 18 | 18 36 | 6 36 12 12 | 0 0 12 12 12 0 3 | 0 0 0 0 4 4 0 3 0 0 | * * * * * * * * * 35840 * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 | 0 0 1 1 1 0 x . . o3o3o3x . ♦ 10 | 5 20 | 0 10 20 0 | 0 0 0 10 0 10 0 | 0 0 0 0 0 0 5 0 2 0 | * * * * * * * * * * 10752 * * * | 0 0 0 0 0 0 2 0 0 0 1 0 0 | 1 0 0 0 2 0 x . . . o3o3x3o ♦ 20 | 10 60 | 0 30 40 20 | 0 0 0 20 10 10 10 | 0 0 0 0 0 0 5 5 0 2 | * * * * * * * * * * * 10752 * * | 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 0 0 1 2 0 . o . *b3o3o3o3x . ♦ 6 | 0 15 | 0 0 20 0 | 0 0 0 0 0 15 0 | 0 0 0 0 0 0 0 0 6 0 | * * * * * * * * * * * * 7168 * | 0 0 0 0 0 0 1 0 0 0 0 1 1 | 1 0 0 0 1 1 . . . o3o3o3x3o ♦ 15 | 0 60 | 0 0 60 20 | 0 0 0 0 0 30 15 | 0 0 0 0 0 0 0 0 6 6 | * * * * * * * * * * * * * 3584 | 0 0 0 0 0 0 0 0 0 0 1 0 2 | 0 0 0 0 2 1 -------------------+------+-------------+-------------------------+--------------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+------------------------- x3o3o *b3o3o3o . . ♦ 32 | 240 0 | 640 0 0 0 | 160 480 0 0 0 0 0 | 60 0 192 0 0 0 0 0 0 0 | 12 0 0 0 32 0 0 0 0 0 0 0 0 0 | 112 * * * * * * * * * * * * | 2 0 0 0 0 0 x3o3o *b3o3o . x . ♦ 32 | 160 16 | 320 80 0 0 | 80 160 160 0 0 0 0 | 20 40 32 80 0 0 0 0 0 0 | 2 10 0 0 0 16 0 0 0 0 0 0 0 0 | * 1344 * * * * * * * * * * * | 1 1 0 0 0 0 x3o3o *b3o . o3x . ♦ 24 | 72 24 | 96 72 8 0 | 24 24 96 24 0 0 0 | 3 24 0 24 32 0 0 0 0 0 | 0 3 8 0 0 0 8 0 0 0 0 0 0 0 | * * 4480 * * * * * * * * * * | 1 0 1 0 0 0 x3o3o *b3o . . x3o ♦ 24 | 72 24 | 96 72 0 8 | 24 24 96 0 24 0 0 | 3 24 0 24 0 32 0 0 0 0 | 0 3 0 8 0 0 0 8 0 0 0 0 0 0 | * * * 4480 * * * * * * * * * | 0 1 1 0 0 0 x3o3o . o3o3x . ♦ 16 | 24 24 | 16 36 16 0 | 4 0 24 24 0 4 0 | 0 6 0 0 16 0 6 0 0 0 | 0 0 4 0 0 0 0 0 4 0 0 0 0 0 | * * * * 8960 * * * * * * * * | 1 0 0 1 0 0 x3o3o . . o3x3o ♦ 24 | 36 48 | 24 72 16 16 | 6 0 48 24 24 0 4 | 0 12 0 0 16 16 0 6 0 0 | 0 0 4 4 0 0 0 0 0 4 0 0 0 0 | * * * * * 8960 * * * * * * * | 0 0 1 1 0 0 x3o . *b3o3o3o3x . ♦ 42 | 105 105 | 140 210 140 0 | 0 105 210 210 0 105 0 | 0 0 42 105 140 0 105 0 42 0 | 0 0 0 0 7 21 35 0 35 0 21 0 7 0 | * * * * * * 1024 * * * * * * | 1 0 0 0 1 0 x3o . *b3o3o . x3o ♦ 15 | 30 15 | 30 30 0 5 | 0 15 30 0 10 0 0 | 0 0 3 15 0 10 0 0 0 0 | 0 0 0 0 0 3 0 5 0 0 0 0 0 0 | * * * * * * * 7168 * * * * * | 0 1 0 0 1 0 x3o . *b3o . o3x3o ♦ 24 | 36 48 | 24 72 16 16 | 0 6 48 24 24 0 4 | 0 0 0 12 16 16 0 6 0 0 | 0 0 0 0 0 0 4 4 0 4 0 0 0 0 | * * * * * * * * 8960 * * * * | 0 0 1 0 1 0 x3o . . o3o3x3o ♦ 30 | 30 90 | 10 90 60 30 | 0 0 30 60 30 15 15 | 0 0 0 0 20 10 15 15 0 3 | 0 0 0 0 0 0 0 0 5 5 0 3 0 0 | * * * * * * * * * 7168 * * * | 0 0 0 1 1 0 x . . o3o3o3x3o ♦ 30 | 15 120 | 0 60 120 40 | 0 0 0 60 20 60 30 | 0 0 0 0 0 0 30 15 12 12 | 0 0 0 0 0 0 0 0 0 0 6 6 0 2 | * * * * * * * * * * 1792 * * | 0 0 0 0 2 0 . o3o *b3o3o3o3x . ♦ 7 | 0 21 | 0 0 35 0 | 0 0 0 0 0 35 0 | 0 0 0 0 0 0 0 0 21 0 | 0 0 0 0 0 0 0 0 0 0 0 0 7 0 | * * * * * * * * * * * 1024 * | 1 0 0 0 0 1 . o . *b3o3o3o3x3o ♦ 21 | 0 105 | 0 0 140 35 | 0 0 0 0 0 105 35 | 0 0 0 0 0 0 0 0 42 21 | 0 0 0 0 0 0 0 0 0 0 0 0 7 7 | * * * * * * * * * * * * 1024 | 0 0 0 0 1 1 -------------------+------+-------------+-------------------------+--------------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+------------------------- x3o3o *b3o3o3o3x . ♦ 448 | 3360 1344 | 8960 6720 2240 0 | 2240 6720 13440 6720 0 2240 0 | 840 3360 2688 6720 8960 0 3360 0 1344 0 | 168 840 2240 0 448 1344 2240 0 2240 0 672 0 448 0 | 14 84 280 0 560 0 64 0 0 0 0 64 0 | 16 * * * * * x3o3o *b3o3o . x3o ♦ 48 | 240 48 | 480 240 0 16 | 120 240 480 0 80 0 0 | 30 120 48 240 0 160 0 0 0 0 | 3 30 0 40 0 48 0 80 0 0 0 0 0 0 | 0 3 0 10 0 0 0 16 0 0 0 0 0 | * 448 * * * * x3o3o *b3o . o3x3o ♦ 48 | 144 96 | 192 288 32 32 | 48 48 384 96 96 0 8 | 6 96 0 96 128 128 0 24 0 0 | 0 12 32 32 0 0 32 32 0 32 0 0 0 0 | 0 0 4 4 0 8 0 0 8 0 0 0 0 | * * 1120 * * * x3o3o . o3o3x3o ♦ 40 | 60 120 | 40 180 80 40 | 10 0 120 120 60 20 20 | 0 30 0 0 80 40 30 30 0 4 | 0 0 20 10 0 0 0 0 20 20 0 6 0 0 | 0 0 0 0 5 5 0 0 0 4 0 0 0 | * * * 1792 * * x3o . *b3o3o3o3x3o ♦ 168 | 420 840 | 560 1680 1120 280 | 0 420 1680 1680 560 840 280 | 0 0 168 840 1120 560 840 420 336 168 | 0 0 0 0 28 168 280 280 280 280 168 168 56 56 | 0 0 0 0 0 0 8 56 70 56 28 0 8 | * * * * 128 * . o3o *b3o3o3o3x3o ♦ 28 | 0 168 | 0 0 280 56 | 0 0 0 0 0 280 70 | 0 0 0 0 0 0 0 0 168 56 | 0 0 0 0 0 0 0 0 0 0 0 0 56 28 | 0 0 0 0 0 0 0 0 0 0 0 8 8 | * * * * * 128
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