| Acronym | puph |
| Name | petaprismated hexadecaexon |
| Circumradius | sqrt(3) = 1.732051 |
| Face vector | 1120, 8400, 21560, 25760, 15288, 4060, 254 |
| Confer |
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Incidence matrix according to Dynkin symbol
x3o3o3x3o3o3x o3o3o3o3o3o3o | 1120 | 6 9 | 6 36 9 18 | 2 18 18 18 36 36 6 9 | 6 6 18 36 9 18 36 12 6 | 6 12 6 6 18 9 6 9 1 | 2 6 6 1 ----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+------------- x . . . . . . & | 2 | 3360 * | 2 6 3 0 | 1 6 9 3 6 12 0 0 | 3 4 6 18 6 3 12 2 0 | 3 8 5 2 9 6 1 3 0 | 1 4 5 1 . . . x . . . | 2 | * 5040 | 0 4 0 4 | 0 2 0 4 8 4 2 4 | 2 0 4 4 0 8 8 4 4 | 4 4 0 2 4 1 4 4 1 | 2 4 2 0 ----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+------------- x3o . . . . . & | 3 | 3 0 | 2240 * * * | 1 3 3 0 0 0 0 0 | 3 3 3 6 3 0 0 0 0 | 3 6 4 1 3 3 0 0 0 | 1 3 4 1 x . . x . . . & | 4 | 2 2 | * 10080 * * | 0 1 0 1 2 2 0 0 | 1 0 2 3 0 2 4 1 0 | 2 3 0 1 3 1 1 2 0 | 1 3 2 0 x . . . . . x | 4 | 4 0 | * * 2520 * | 0 0 4 0 0 4 0 0 | 0 2 0 8 4 0 4 0 0 | 0 4 4 0 4 4 0 1 0 | 0 2 4 1 . . o3x . . . & | 3 | 0 3 | * * * 6720 | 0 0 0 1 2 0 1 2 | 1 0 1 0 0 4 2 2 3 | 3 2 0 1 1 0 3 2 1 | 2 3 1 0 ----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+------------- x3o3o . . . . & ♦ 4 | 6 0 | 4 0 0 0 | 560 * * * * * * * | 3 3 0 0 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 | 1 3 3 1 x3o . x . . . & ♦ 6 | 6 3 | 2 3 0 0 | * 3360 * * * * * * | 1 0 2 2 0 0 0 0 0 | 2 2 0 1 2 1 0 0 0 | 1 2 2 0 x3o . . . . x & ♦ 6 | 9 0 | 2 0 3 0 | * * 3360 * * * * * | 0 1 0 2 2 0 0 0 0 | 0 2 3 0 1 2 0 0 0 | 0 1 3 1 x . o3x . . . & ♦ 6 | 3 6 | 0 3 0 2 | * * * 3360 * * * * | 1 0 0 0 0 2 2 0 0 | 2 2 0 0 1 0 1 2 0 | 1 3 1 0 x . . x3o . . & ♦ 6 | 3 6 | 0 3 0 2 | * * * * 6720 * * * | 0 0 1 0 0 1 1 1 0 | 1 1 0 1 1 0 1 1 0 | 1 2 1 0 x . . x . . x ♦ 8 | 8 4 | 0 4 2 0 | * * * * * 5040 * * | 0 0 0 2 0 0 2 0 0 | 0 2 0 0 2 1 0 1 0 | 0 2 2 0 . o3o3x . . . & ♦ 4 | 0 6 | 0 0 0 4 | * * * * * * 1680 * | 1 0 0 0 0 0 0 2 2 | 2 2 0 1 0 0 2 0 1 | 2 2 1 0 . . o3x3o . . ♦ 6 | 0 12 | 0 0 0 8 | * * * * * * * 1680 | 0 0 0 0 0 2 0 0 2 | 2 0 0 0 0 0 2 1 1 | 2 2 0 0 ----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+------------- x3o3o3x . . . & ♦ 20 | 30 30 | 20 30 0 20 | 5 10 0 10 0 0 5 0 | 336 * * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 x3o3o . . . x & ♦ 8 | 16 0 | 8 0 6 0 | 2 0 4 0 0 0 0 0 | * 840 * * * * * * * | 0 2 2 0 0 0 0 0 0 | 0 1 2 1 x3o . x3o . . & ♦ 9 | 9 9 | 3 9 0 3 | 0 3 0 0 3 0 0 0 | * * 2240 * * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 1 0 x3o . x . . x & ♦ 12 | 18 6 | 4 9 6 0 | 0 2 2 0 0 3 0 0 | * * * 3360 * * * * * | 0 1 0 0 1 1 0 0 0 | 0 1 2 0 x3o . . . o3x ♦ 9 | 18 0 | 6 0 9 0 | 0 0 6 0 0 0 0 0 | * * * * 1120 * * * * | 0 0 2 0 0 1 0 0 0 | 0 0 2 1 x . o3x3o . . & ♦ 12 | 6 24 | 0 12 0 16 | 0 0 0 4 4 0 0 2 | * * * * * 1680 * * * | 1 0 0 0 0 0 1 1 0 | 1 2 0 0 x . o3x . . x & ♦ 12 | 12 12 | 0 12 3 4 | 0 0 0 2 2 3 0 0 | * * * * * * 3360 * * | 0 1 0 0 1 0 0 1 0 | 0 2 1 0 x . . x3o3o . & ♦ 8 | 4 12 | 0 6 0 8 | 0 0 0 0 4 0 2 0 | * * * * * * * 1680 * | 0 1 0 1 0 0 1 0 0 | 1 1 1 0 . o3o3x3o . . & ♦ 10 | 0 30 | 0 0 0 30 | 0 0 0 0 0 0 5 5 | * * * * * * * * 672 | 1 0 0 0 0 0 1 0 1 | 2 1 0 0 ----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+------------- x3o3o3x3o . . & ♦ 60 | 90 180 | 60 180 0 180 | 15 60 0 60 60 0 30 30 | 6 0 20 0 0 15 0 0 6 | 112 * * * * * * * * | 1 1 0 0 x3o3o3x . . x & ♦ 40 | 80 60 | 40 90 30 40 | 10 20 20 20 20 30 10 0 | 2 5 0 10 0 0 10 5 0 | * 336 * * * * * * * | 0 1 1 0 x3o3o . . o3x & ♦ 12 | 30 0 | 16 0 18 0 | 3 0 18 0 0 0 0 0 | 0 3 0 0 4 0 0 0 0 | * * 560 * * * * * * | 0 0 1 1 x3o . x3o3o . & ♦ 12 | 12 18 | 4 18 0 12 | 0 6 0 0 12 0 3 0 | 0 0 4 0 0 0 0 3 0 | * * * 560 * * * * * | 1 0 1 0 x3o . x3o . x & ♦ 18 | 27 18 | 6 27 9 6 | 0 6 3 3 6 9 0 0 | 0 0 2 3 0 0 3 0 0 | * * * * 1120 * * * * | 0 1 1 0 x3o . x . o3x ♦ 18 | 36 9 | 12 18 18 0 | 0 6 12 0 0 9 0 0 | 0 0 0 6 2 0 0 0 0 | * * * * * 560 * * * | 0 0 2 0 x . o3x3o3o . & ♦ 20 | 10 60 | 0 30 0 60 | 0 0 0 10 20 0 10 10 | 0 0 0 0 0 5 0 5 2 | * * * * * * 336 * * | 1 1 0 0 x . o3x3o . x ♦ 24 | 24 48 | 0 48 6 32 | 0 0 0 16 16 12 0 4 | 0 0 0 0 0 4 8 0 0 | * * * * * * * 420 * | 0 2 0 0 . o3o3x3o3o . ♦ 20 | 0 90 | 0 0 0 120 | 0 0 0 0 0 0 30 30 | 0 0 0 0 0 0 0 0 12 | * * * * * * * * 56 | 2 0 0 0 ----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+------------- x3o3o3x3o3o . & ♦ 140 | 210 630 | 140 630 0 840 | 35 210 0 210 420 0 210 210 | 21 0 140 0 0 105 0 105 84 | 7 0 0 35 0 0 21 0 7 | 16 * * * x3o3o3x3o . x & ♦ 120 | 240 360 | 120 540 90 360 | 30 120 60 180 240 180 60 60 | 12 15 40 60 0 60 120 30 12 | 2 6 0 0 20 0 6 15 0 | * 56 * * x3o3o3x . o3x & ♦ 60 | 150 90 | 80 180 90 60 | 15 60 90 30 60 90 15 0 | 3 15 20 60 20 0 30 15 0 | 0 3 5 5 10 10 0 0 0 | * * 112 * x3o3o . o3o3x ♦ 16 | 48 0 | 32 0 36 0 | 8 0 48 0 0 0 0 0 | 0 12 0 0 16 0 0 0 0 | 0 0 8 0 0 0 0 0 0 | * * * 70
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