| Acronym | scalq |
| Name | small cellated pentacontihexapentacosiheptacontihexaexon |
| Circumradius | sqrt(5) = 2.236068 |
| Face vector | 7560, 90720, 322560, 493920, 328608, 80892, 6806 |
| Confer |
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Incidence matrix according to Dynkin symbol
x3o3o3o *c3o3x3o . . . . . . . | 7560 | 8 16 | 24 64 48 8 | 32 96 96 32 64 24 | 8 8 64 48 48 64 48 16 16 32 | 1 16 16 32 24 16 32 2 8 8 | 2 8 8 8 1 -----------------+------+-------------+---------------------------+----------------------------------------+-------------------------------------------------------------+-------------------------------------------------------+--------------------- x . . . . . . | 2 | 30240 * | 6 8 0 0 | 12 24 12 4 0 0 | 4 4 24 12 12 8 6 0 0 0 | 1 8 8 12 6 2 4 0 0 0 | 2 4 4 1 0 . . . . . x . | 2 | * 60480 | 0 4 6 1 | 0 6 12 4 12 6 | 0 0 4 6 6 12 12 4 4 12 | 0 1 4 4 6 4 12 1 4 4 | 1 1 4 4 1 -----------------+------+-------------+---------------------------+----------------------------------------+-------------------------------------------------------------+-------------------------------------------------------+--------------------- x3o . . . . . | 3 | 3 0 | 60480 * * * | 4 4 0 0 0 0 | 2 2 8 2 2 0 0 0 0 0 | 1 4 4 4 1 0 0 0 0 0 | 2 2 2 0 0 x . . . . x . | 4 | 2 2 | * 120960 * * | 0 3 3 1 0 0 | 0 0 3 3 3 3 3 0 0 0 | 0 1 3 3 3 1 3 0 0 0 | 1 1 3 1 0 . . . . o3x . | 3 | 0 3 | * * 120960 * | 0 0 2 0 4 1 | 0 0 0 1 0 4 2 2 2 4 | 0 0 2 0 1 2 4 1 2 2 | 1 0 2 2 1 . . . . . x3o | 3 | 0 3 | * * * 20160 | 0 0 0 4 0 6 | 0 0 0 0 6 0 12 0 0 12 | 0 0 0 4 6 0 12 0 4 4 | 0 1 4 4 1 -----------------+------+-------------+---------------------------+----------------------------------------+-------------------------------------------------------------+-------------------------------------------------------+--------------------- x3o3o . . . . ♦ 4 | 6 0 | 4 0 0 0 | 60480 * * * * * | 1 1 2 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 | 2 1 1 0 0 x3o . . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 120960 * * * * | 0 0 2 1 1 0 0 0 0 0 | 0 1 2 2 1 0 0 0 0 0 | 1 1 2 0 0 x . . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 120960 * * * | 0 0 0 1 0 2 1 0 0 0 | 0 0 2 0 1 1 2 0 0 0 | 1 0 2 1 0 x . . . . x3o ♦ 6 | 3 6 | 0 3 0 2 | * * * 40320 * * | 0 0 0 0 3 0 3 0 0 0 | 0 0 0 3 3 0 3 0 0 0 | 0 1 3 1 0 . . o . *c3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * * 120960 * | 0 0 0 0 0 1 0 1 1 1 | 0 0 1 0 0 1 1 1 1 1 | 1 0 1 1 1 . . . . o3x3o ♦ 6 | 0 12 | 0 0 4 4 | * * * * * 30240 | 0 0 0 0 0 0 2 0 0 4 | 0 0 0 0 1 0 4 0 2 2 | 0 0 2 2 1 -----------------+------+-------------+---------------------------+----------------------------------------+-------------------------------------------------------------+-------------------------------------------------------+--------------------- x3o3o3o . . . ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 0 0 | 12096 * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 1 0 0 0 x3o3o . *c3o . . ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 0 0 | * 12096 * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 | 2 0 1 0 0 x3o3o . . x . ♦ 8 | 12 4 | 8 6 0 0 | 2 4 0 0 0 0 | * * 60480 * * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x3o . . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 0 | * * * 40320 * * * * * * | 0 0 2 0 1 0 0 0 0 0 | 1 0 2 0 0 x3o . . . x3o ♦ 9 | 9 9 | 3 9 0 3 | 0 3 0 3 0 0 | * * * * 40320 * * * * * | 0 0 0 2 1 0 0 0 0 0 | 0 1 2 0 0 x . o . *c3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 0 4 0 2 0 | * * * * * 60480 * * * * | 0 0 1 0 0 1 1 0 0 0 | 1 0 1 1 0 x . . . o3x3o ♦ 12 | 6 24 | 0 12 8 8 | 0 0 4 4 0 2 | * * * * * * 30240 * * * | 0 0 0 0 1 0 2 0 0 0 | 0 0 2 1 0 . o3o . *c3o3x . ♦ 5 | 0 10 | 0 0 10 0 | 0 0 0 0 5 0 | * * * * * * * 24192 * * | 0 0 1 0 0 0 0 1 1 0 | 1 0 1 0 1 . . o3o *c3o3x . ♦ 5 | 0 10 | 0 0 10 0 | 0 0 0 0 5 0 | * * * * * * * * 24192 * | 0 0 0 0 0 1 0 1 0 1 | 1 0 0 1 1 . . o . *c3o3x3o ♦ 10 | 0 30 | 0 0 20 10 | 0 0 0 0 5 5 | * * * * * * * * * 24192 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 -----------------+------+-------------+---------------------------+----------------------------------------+-------------------------------------------------------------+-------------------------------------------------------+--------------------- x3o3o3o *c3o . . ♦ 10 | 40 0 | 80 0 0 0 | 80 0 0 0 0 0 | 16 16 0 0 0 0 0 0 0 0 | 756 * * * * * * * * * | 2 0 0 0 0 x3o3o3o . x . ♦ 10 | 20 5 | 20 10 0 0 | 10 10 0 0 0 0 | 2 0 5 0 0 0 0 0 0 0 | * 12096 * * * * * * * * | 1 1 0 0 0 x3o3o . *c3o3x . ♦ 30 | 60 60 | 60 90 60 0 | 30 60 60 0 30 0 | 0 6 15 20 0 15 0 6 0 0 | * * 4032 * * * * * * * | 1 0 1 0 0 x3o3o . . x3o ♦ 12 | 18 12 | 12 18 0 4 | 3 12 0 6 0 0 | 0 0 3 0 4 0 0 0 0 0 | * * * 20160 * * * * * * | 0 1 1 0 0 x3o . . o3x3o ♦ 18 | 18 36 | 6 36 12 12 | 0 12 12 12 0 3 | 0 0 0 4 4 0 3 0 0 0 | * * * * 10080 * * * * * | 0 0 2 0 0 x . o3o *c3o3x . ♦ 10 | 5 20 | 0 10 20 0 | 0 0 10 0 10 0 | 0 0 0 0 0 5 0 0 2 0 | * * * * * 12096 * * * * | 1 0 0 1 0 x . o . *c3o3x3o ♦ 20 | 10 60 | 0 30 40 20 | 0 0 20 10 10 10 | 0 0 0 0 0 5 5 0 0 2 | * * * * * * 12096 * * * | 0 0 1 1 0 . o3o3o *c3o3x . ♦ 10 | 0 40 | 0 0 80 0 | 0 0 0 0 80 0 | 0 0 0 0 0 0 0 16 16 0 | * * * * * * * 1512 * * | 1 0 0 0 1 . o3o . *c3o3x3o ♦ 15 | 0 60 | 0 0 60 20 | 0 0 0 0 30 15 | 0 0 0 0 0 0 0 6 0 6 | * * * * * * * * 4032 * | 0 0 1 0 1 . . o3o *c3o3x3o ♦ 15 | 0 60 | 0 0 60 20 | 0 0 0 0 30 15 | 0 0 0 0 0 0 0 0 6 6 | * * * * * * * * * 4032 | 0 0 0 1 1 -----------------+------+-------------+---------------------------+----------------------------------------+-------------------------------------------------------------+-------------------------------------------------------+--------------------- x3o3o3o *c3o3x . ♦ 270 | 1080 1080 | 2160 2160 2160 0 | 2160 2160 2160 0 2160 0 | 432 432 1080 720 0 1080 0 432 432 0 | 27 216 72 0 0 216 0 27 0 0 | 56 * * * * x3o3o3o . x3o ♦ 15 | 30 15 | 30 30 0 5 | 15 30 0 10 0 0 | 3 0 15 0 10 0 0 0 0 0 | 0 3 0 5 0 0 0 0 0 0 | * 4032 * * * x3o3o . *c3o3x3o ♦ 105 | 210 420 | 210 630 420 140 | 105 420 420 210 210 105 | 0 21 105 140 140 105 105 42 0 42 | 0 0 7 35 35 0 21 0 7 0 | * * 576 * * x . o3o *c3o3x3o ♦ 30 | 15 120 | 0 60 120 40 | 0 0 60 20 60 30 | 0 0 0 0 0 30 15 0 12 12 | 0 0 0 0 0 6 6 0 0 2 | * * * 2016 * . o3o3o *c3o3x3o ♦ 60 | 0 480 | 0 0 960 160 | 0 0 0 0 960 240 | 0 0 0 0 0 0 0 192 192 192 | 0 0 0 0 0 0 0 12 32 32 | * * * * 126
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