- general polytopal classes:
- Wythoffian polyexa
links
| Acronym | gabach |
| Name | great bicellihexadecaexon |
| Circumradius | sqrt(15) = 3.872983 |
| Face vector | 10080, 35280, 49560, 35700, 13832, 2688, 198 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3x3x3x3x3o . . . . . . . | 10080 | 4 2 1 | 2 4 4 4 4 2 1 | 2 2 2 4 4 4 8 4 4 1 | 2 2 4 2 4 4 1 4 8 4 | 2 4 4 2 4 1 4 | 4 2 1 -----------------+-------+------------------+---------------------------------------+--------------------------------------------------+------------------------------------------------+---------------------------+---------- . x . . . . . & | 2 | 20160 * * | 1 1 1 1 2 0 0 | 1 1 1 3 1 1 4 1 2 0 | 1 1 3 1 3 3 1 1 4 2 | 1 3 3 2 3 1 2 | 3 2 1 . . x . . . . & | 2 | * 10080 * | 0 2 0 2 0 1 1 | 1 0 1 0 2 4 4 2 0 1 | 1 2 2 1 0 2 0 4 4 4 | 2 2 4 1 2 0 4 | 4 1 1 . . . x . . . | 2 | * * 5040 | 0 0 4 0 0 2 0 | 0 2 0 0 4 0 0 4 4 1 | 2 0 0 2 4 0 0 4 8 0 | 2 4 0 0 4 1 4 | 4 2 0 -----------------+-------+------------------+---------------------------------------+--------------------------------------------------+------------------------------------------------+---------------------------+---------- o3x . . . . . & | 3 | 3 0 0 | 6720 * * * * * * | 1 1 1 2 0 0 0 0 0 0 | 1 1 2 1 2 2 1 0 0 0 | 1 2 2 2 2 1 0 | 2 2 1 . x3x . . . . & | 6 | 3 3 0 | * 6720 * * * * * | 1 0 0 0 1 1 2 0 0 0 | 1 1 2 0 0 1 0 1 2 2 | 1 2 3 1 1 0 2 | 3 1 1 . x . x . . . & | 4 | 2 0 2 | * * 10080 * * * * | 0 1 0 0 1 0 0 1 2 0 | 1 0 0 1 3 0 0 1 4 0 | 1 3 0 0 3 1 2 | 3 2 0 . x . . x . . & | 4 | 2 2 0 | * * * 10080 * * * | 0 0 1 0 0 1 2 1 0 0 | 0 1 1 1 0 2 0 1 2 2 | 1 1 3 1 2 0 2 | 3 1 1 . x . . . x . | 4 | 4 0 0 | * * * * 10080 * * | 0 0 0 2 0 0 2 0 1 0 | 0 0 2 0 2 2 1 0 2 1 | 0 2 2 2 2 1 1 | 2 2 1 . . x3x . . . & | 6 | 0 3 3 | * * * * * 3360 * | 0 0 0 0 2 0 0 2 0 1 | 1 0 0 1 0 0 0 4 4 0 | 2 2 0 0 2 0 4 | 4 1 0 . . x . x . . | 4 | 0 4 0 | * * * * * * 2520 | 0 0 0 0 0 4 0 0 0 1 | 0 2 0 0 0 0 0 4 0 4 | 2 0 4 0 0 0 4 | 4 0 1 -----------------+-------+------------------+---------------------------------------+--------------------------------------------------+------------------------------------------------+---------------------------+---------- o3x3x . . . . & ♦ 12 | 12 6 0 | 4 4 0 0 0 0 0 | 1680 * * * * * * * * * | 1 1 2 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 o3x . x . . . & ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * 3360 * * * * * * * * | 1 0 0 1 2 0 0 0 0 0 | 1 2 0 0 2 1 0 | 2 2 0 o3x . . x . . & ♦ 6 | 6 3 0 | 2 0 0 3 0 0 0 | * * 3360 * * * * * * * | 0 1 0 1 0 2 0 0 0 0 | 1 0 2 1 2 0 0 | 2 1 1 o3x . . . x . & ♦ 6 | 9 0 0 | 2 0 0 0 3 0 0 | * * * 6720 * * * * * * | 0 0 1 0 1 1 1 0 0 0 | 0 1 1 2 1 1 0 | 1 2 1 . x3x3x . . . & ♦ 24 | 12 12 12 | 0 4 6 0 0 4 0 | * * * * 1680 * * * * * | 1 0 0 0 0 0 0 1 2 0 | 1 2 0 0 1 0 2 | 3 1 0 . x3x . x . . & ♦ 12 | 6 12 0 | 0 2 0 3 0 0 3 | * * * * * 3360 * * * * | 0 1 0 0 0 0 0 1 0 2 | 1 0 3 0 0 0 2 | 3 0 1 . x3x . . x . & ♦ 12 | 12 6 0 | 0 2 0 3 3 0 0 | * * * * * * 6720 * * * | 0 0 1 0 0 1 0 0 1 1 | 0 1 2 1 1 0 1 | 2 1 1 . x . x3x . . & ♦ 12 | 6 6 6 | 0 0 3 3 0 2 0 | * * * * * * * 3360 * * | 0 0 0 1 0 0 0 1 2 0 | 1 1 0 0 2 0 2 | 3 1 0 . x . x . x . ♦ 8 | 8 0 4 | 0 0 4 0 2 0 0 | * * * * * * * * 5040 * | 0 0 0 0 2 0 0 0 2 0 | 0 2 0 0 2 1 1 | 2 2 0 . . x3x3x . . ♦ 24 | 0 24 12 | 0 0 0 0 0 8 6 | * * * * * * * * * 420 | 0 0 0 0 0 0 0 4 0 0 | 2 0 0 0 0 0 4 | 4 0 0 -----------------+-------+------------------+---------------------------------------+--------------------------------------------------+------------------------------------------------+---------------------------+---------- o3x3x3x . . . & ♦ 60 | 60 30 30 | 20 20 30 0 0 10 0 | 5 10 0 0 5 0 0 0 0 0 | 336 * * * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 o3x3x . x . . & ♦ 24 | 24 24 0 | 8 8 0 12 0 0 6 | 2 0 4 0 0 4 0 0 0 0 | * 840 * * * * * * * * | 1 0 2 0 0 0 0 | 2 0 1 o3x3x . . x . & ♦ 24 | 36 12 0 | 8 8 0 6 12 0 0 | 2 0 0 4 0 0 4 0 0 0 | * * 1680 * * * * * * * | 0 1 1 1 0 0 0 | 1 1 1 o3x . x3x . . & ♦ 18 | 18 9 9 | 6 0 9 9 0 3 0 | 0 3 3 0 0 0 0 3 0 0 | * * * 1120 * * * * * * | 1 0 0 0 2 0 0 | 2 1 0 o3x . x . x . & ♦ 12 | 18 0 6 | 4 0 9 0 6 0 0 | 0 2 0 2 0 0 0 0 3 0 | * * * * 3360 * * * * * | 0 1 0 0 1 1 0 | 1 2 0 o3x . . x3x . & ♦ 18 | 27 9 0 | 6 3 0 9 9 0 0 | 0 0 3 3 0 0 3 0 0 0 | * * * * * 2240 * * * * | 0 0 1 1 1 0 0 | 1 1 1 o3x . . . x3o ♦ 9 | 18 0 0 | 6 0 0 0 9 0 0 | 0 0 0 6 0 0 0 0 0 0 | * * * * * * 1120 * * * | 0 0 0 2 0 1 0 | 0 2 1 . x3x3x3x . . & ♦ 120 | 60 120 60 | 0 20 30 30 0 40 30 | 0 0 0 0 5 10 0 10 0 5 | * * * * * * * 336 * * | 1 0 0 0 0 0 2 | 3 0 0 . x3x3x . x . & ♦ 48 | 48 24 24 | 0 8 24 12 12 8 0 | 0 0 0 0 2 0 4 4 6 0 | * * * * * * * * 1680 * | 0 1 0 0 1 0 1 | 2 1 0 . x3x . x3x . ♦ 36 | 36 36 0 | 0 12 0 18 9 0 9 | 0 0 0 0 0 6 6 0 0 0 | * * * * * * * * * 1120 | 0 0 2 0 0 0 1 | 2 0 1 -----------------+-------+------------------+---------------------------------------+--------------------------------------------------+------------------------------------------------+---------------------------+---------- o3x3x3x3x . . & ♦ 360 | 360 360 180 | 120 120 180 180 0 120 90 | 30 60 60 0 30 60 0 60 0 15 | 6 15 0 20 0 0 0 6 0 0 | 56 * * * * * * | 2 0 0 o3x3x3x . x . & ♦ 120 | 180 60 60 | 40 40 90 30 60 20 0 | 10 20 0 20 10 0 20 10 30 0 | 2 0 5 0 10 0 0 0 5 0 | * 336 * * * * * | 1 1 0 o3x3x . x3x . & ♦ 72 | 108 72 0 | 24 36 0 54 36 0 18 | 6 0 12 12 0 18 24 0 0 0 | 0 3 3 0 0 4 0 0 0 4 | * * 560 * * * * | 1 0 1 o3x3x . . x3o & ♦ 36 | 72 18 0 | 24 12 0 18 36 0 0 | 3 0 6 24 0 0 12 0 0 0 | 0 0 3 0 0 4 4 0 0 0 | * * * 560 * * * | 0 1 1 o3x . x3x3x . & ♦ 72 | 108 36 36 | 24 12 54 36 36 12 0 | 0 12 12 12 3 0 12 12 18 0 | 0 0 0 4 6 4 0 0 3 0 | * * * * 560 * * | 1 1 0 o3x . x . x3o ♦ 18 | 36 0 9 | 12 0 18 0 18 0 0 | 0 6 0 12 0 0 0 0 9 0 | 0 0 0 0 6 0 2 0 0 0 | * * * * * 560 * | 0 2 0 . x3x3x3x3x . ♦ 720 | 720 720 360 | 0 240 360 360 180 240 180 | 0 0 0 0 60 120 120 120 90 30 | 0 0 0 0 0 0 0 12 30 20 | * * * * * * 56 | 2 0 0 -----------------+-------+------------------+---------------------------------------+--------------------------------------------------+------------------------------------------------+---------------------------+---------- o3x3x3x3x3x . & ♦ 2520 | 3780 2520 1260 | 840 1260 1890 1890 1260 840 630 | 210 420 420 420 315 630 840 630 630 105 | 42 105 105 140 210 140 0 63 210 140 | 7 21 35 0 35 0 7 | 16 * * o3x3x3x . x3o & ♦ 180 | 360 90 90 | 120 60 180 90 180 30 0 | 15 60 30 120 15 0 60 30 90 0 | 3 0 15 10 60 20 20 0 15 0 | 0 3 0 5 5 10 0 | * 112 * o3x3x . x3x3o ♦ 144 | 288 144 0 | 96 96 0 144 144 0 36 | 24 0 48 96 0 48 96 0 0 0 | 0 12 24 0 0 32 16 0 0 16 | 0 0 8 8 0 0 0 | * * 70
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