Acronym | gacnetip |
Name | great-cellated-penteractitriacontiditeron prism |
Circumradius | sqrt[(33+10 sqrt(2))/2] = 4.855004 |
Face vector | 7680, 23040, 25920, 13440, 3124, 244 |
Confer |
|
Incidence matrix according to Dynkin symbol
x x3x3x3x4x . . . . . . | 7680 | 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 ------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+----------------- x . . . . . | 2 | 3840 * * * * * | 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 0 . x . . . . | 2 | * 3840 * * * * | 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 | 1 1 1 1 0 1 . . x . . . | 2 | * * 3840 * * * | 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 | 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1 . . . x . . | 2 | * * * 3840 * * | 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 | 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 | 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 | 1 1 0 1 1 1 . . . . x . | 2 | * * * * 3840 * | 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 | 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 | 1 0 1 1 1 1 . . . . . x | 2 | * * * * * 3840 | 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 | 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 | 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1 ------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+----------------- x x . . . . | 4 | 2 2 0 0 0 0 | 1920 * * * * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 x . x . . . | 4 | 2 0 2 0 0 0 | * 1920 * * * * * * * * * * * * * | 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0 x . . x . . | 4 | 2 0 0 2 0 0 | * * 1920 * * * * * * * * * * * * | 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0 x . . . x . | 4 | 2 0 0 0 2 0 | * * * 1920 * * * * * * * * * * * | 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0 x . . . . x | 4 | 2 0 0 0 0 2 | * * * * 1920 * * * * * * * * * * | 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0 . x3x . . . | 6 | 0 3 3 0 0 0 | * * * * * 1280 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1 . x . x . . | 4 | 0 2 0 2 0 0 | * * * * * * 1920 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1 . x . . x . | 4 | 0 2 0 0 2 0 | * * * * * * * 1920 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1 . x . . . x | 4 | 0 2 0 0 0 2 | * * * * * * * * 1920 * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1 . . x3x . . | 6 | 0 0 3 3 0 0 | * * * * * * * * * 1280 * * * * * | 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 . . x . x . | 4 | 0 0 2 0 2 0 | * * * * * * * * * * 1920 * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1 . . x . . x | 4 | 0 0 2 0 0 2 | * * * * * * * * * * * 1920 * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1 . . . x3x . | 6 | 0 0 0 3 3 0 | * * * * * * * * * * * * 1280 * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 | 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 . . . x . x | 4 | 0 0 0 2 0 2 | * * * * * * * * * * * * * 1920 * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1 . . . . x4x | 8 | 0 0 0 0 4 4 | * * * * * * * * * * * * * * 960 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 ------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+----------------- x x3x . . . ♦ 12 | 6 6 6 0 0 0 | 3 3 0 0 0 2 0 0 0 0 0 0 0 0 0 | 640 * * * * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x x . x . . ♦ 8 | 4 4 0 4 0 0 | 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 | * 960 * * * * * * * * * * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 x x . . x . ♦ 8 | 4 4 0 0 4 0 | 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 | * * 960 * * * * * * * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 x x . . . x ♦ 8 | 4 4 0 0 0 4 | 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 | * * * 960 * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 x . x3x . . ♦ 12 | 6 0 6 6 0 0 | 0 3 3 0 0 0 0 0 0 2 0 0 0 0 0 | * * * * 640 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0 x . x . x . ♦ 8 | 4 0 4 0 4 0 | 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 | * * * * * 960 * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0 x . x . . x ♦ 8 | 4 0 4 0 0 4 | 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 | * * * * * * 960 * * * * * * * * * * * * * | 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0 x . . x3x . ♦ 12 | 6 0 0 6 6 0 | 0 0 3 3 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * * 640 * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 x . . x . x ♦ 8 | 4 0 0 4 0 4 | 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * 960 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0 x . . . x4x ♦ 16 | 8 0 0 0 8 8 | 0 0 0 4 4 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * 480 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 . x3x3x . . ♦ 24 | 0 12 12 12 0 0 | 0 0 0 0 0 4 6 0 0 4 0 0 0 0 0 | * * * * * * * * * * 320 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . x3x . x . ♦ 12 | 0 6 6 0 6 0 | 0 0 0 0 0 2 0 3 0 0 3 0 0 0 0 | * * * * * * * * * * * 640 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 . x3x . . x ♦ 12 | 0 6 6 0 0 6 | 0 0 0 0 0 2 0 0 3 0 0 3 0 0 0 | * * * * * * * * * * * * 640 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . x . x3x . ♦ 12 | 0 6 0 6 6 0 | 0 0 0 0 0 0 3 3 0 0 0 0 2 0 0 | * * * * * * * * * * * * * 640 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 . x . x . x ♦ 8 | 0 4 0 4 0 4 | 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 | * * * * * * * * * * * * * * 960 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1 . x . . x4x ♦ 16 | 0 8 0 0 8 8 | 0 0 0 0 0 0 0 4 4 0 0 0 0 0 2 | * * * * * * * * * * * * * * * 480 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 . . x3x3x . ♦ 24 | 0 0 12 12 12 0 | 0 0 0 0 0 0 0 0 0 4 6 0 4 0 0 | * * * * * * * * * * * * * * * * 320 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 . . x3x . x ♦ 12 | 0 0 6 6 0 6 | 0 0 0 0 0 0 0 0 0 2 0 3 0 3 0 | * * * * * * * * * * * * * * * * * 640 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 . . x . x4x ♦ 16 | 0 0 8 0 8 8 | 0 0 0 0 0 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * * * * * * * * * * * 480 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 . . . x3x4x ♦ 48 | 0 0 0 24 24 24 | 0 0 0 0 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * * * * * * * * * * * 160 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 ------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+----------------- x x3x3x . . ♦ 48 | 24 24 24 24 0 0 | 12 12 12 0 0 8 12 0 0 8 0 0 0 0 0 | 4 6 0 0 4 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | 160 * * * * * * * * * * * * * * | 1 1 0 0 0 0 x x3x . x . ♦ 24 | 12 12 12 0 12 0 | 6 6 0 6 0 4 0 6 0 0 6 0 0 0 0 | 2 0 3 0 0 3 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | * 320 * * * * * * * * * * * * * | 1 0 1 0 0 0 x x3x . . x ♦ 24 | 12 12 12 0 0 12 | 6 6 0 0 6 4 0 0 6 0 0 6 0 0 0 | 2 0 0 3 0 0 3 0 0 0 0 0 2 0 0 0 0 0 0 0 | * * 320 * * * * * * * * * * * * | 0 1 1 0 0 0 x x . x3x . ♦ 24 | 12 12 0 12 12 0 | 6 0 6 6 0 0 6 6 0 0 0 0 4 0 0 | 0 3 3 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 | * * * 320 * * * * * * * * * * * | 1 0 0 1 0 0 x x . x . x ♦ 16 | 8 8 0 8 0 8 | 4 0 4 0 4 0 4 0 4 0 0 0 0 4 0 | 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 | * * * * 480 * * * * * * * * * * | 0 1 0 1 0 0 x x . . x4x ♦ 32 | 16 16 0 0 16 16 | 8 0 0 8 8 0 0 8 8 0 0 0 0 0 4 | 0 0 4 4 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 | * * * * * 240 * * * * * * * * * | 0 0 1 1 0 0 x . x3x3x . ♦ 48 | 24 0 24 24 24 0 | 0 12 12 12 0 0 0 0 0 8 12 0 8 0 0 | 0 0 0 0 4 6 0 4 0 0 0 0 0 0 0 0 2 0 0 0 | * * * * * * 160 * * * * * * * * | 1 0 0 0 1 0 x . x3x . x ♦ 24 | 12 0 12 12 0 12 | 0 6 6 0 6 0 0 0 0 4 0 6 0 6 0 | 0 0 0 0 2 0 3 0 3 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * * 320 * * * * * * * | 0 1 0 0 1 0 x . x . x4x ♦ 32 | 16 0 16 0 16 16 | 0 8 0 8 8 0 0 0 0 0 8 8 0 0 4 | 0 0 0 0 0 4 4 0 0 2 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * 240 * * * * * * | 0 0 1 0 1 0 x . . x3x4x ♦ 96 | 48 0 0 48 48 48 | 0 0 24 24 24 0 0 0 0 0 0 0 16 24 12 | 0 0 0 0 0 0 0 8 12 6 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * 80 * * * * * | 0 0 0 1 1 0 . x3x3x3x . ♦ 120 | 0 60 60 60 60 0 | 0 0 0 0 0 20 30 30 0 20 30 0 20 0 0 | 0 0 0 0 0 0 0 0 0 0 5 10 0 10 0 0 5 0 0 0 | * * * * * * * * * * 64 * * * * | 1 0 0 0 0 1 . x3x3x . x ♦ 48 | 0 24 24 24 0 24 | 0 0 0 0 0 8 12 0 12 8 0 12 0 12 0 | 0 0 0 0 0 0 0 0 0 0 2 0 4 0 6 0 0 4 0 0 | * * * * * * * * * * * 160 * * * | 0 1 0 0 0 1 . x3x . x4x ♦ 48 | 0 24 24 0 24 24 | 0 0 0 0 0 8 0 12 12 0 12 12 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 3 0 0 3 0 | * * * * * * * * * * * * 160 * * | 0 0 1 0 0 1 . x . x3x4x ♦ 96 | 0 48 0 48 48 48 | 0 0 0 0 0 0 24 24 24 0 0 0 16 24 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 8 12 6 0 0 0 2 | * * * * * * * * * * * * * 80 * | 0 0 0 1 0 1 . . x3x3x4x ♦ 384 | 0 0 192 192 192 192 | 0 0 0 0 0 0 0 0 0 64 96 96 64 96 48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 32 24 8 | * * * * * * * * * * * * * * 20 | 0 0 0 0 1 1 ------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+----------------- x x3x3x3x . ♦ 240 | 120 120 120 120 120 0 | 60 60 60 60 0 40 60 60 0 40 60 0 40 0 0 | 20 30 30 0 20 30 0 20 0 0 10 20 0 20 0 0 10 0 0 0 | 5 10 0 10 0 0 5 0 0 0 2 0 0 0 0 | 32 * * * * * x x3x3x . x ♦ 96 | 48 48 48 48 0 48 | 24 24 24 0 24 16 24 0 24 16 0 24 0 24 0 | 8 12 0 12 8 0 12 0 12 0 4 0 8 0 12 0 0 8 0 0 | 2 0 4 0 6 0 0 4 0 0 0 2 0 0 0 | * 80 * * * * x x3x . x4x ♦ 96 | 48 48 48 0 48 48 | 24 24 0 24 24 16 0 24 24 0 24 24 0 0 12 | 8 0 12 12 0 12 12 0 0 6 0 8 8 0 0 6 0 0 6 0 | 0 4 4 0 0 3 0 0 3 0 0 0 2 0 0 | * * 80 * * * x x . x3x4x ♦ 192 | 96 96 0 96 96 96 | 48 0 48 48 48 0 48 48 48 0 0 0 32 48 24 | 0 24 24 24 0 0 0 16 24 12 0 0 0 16 24 12 0 0 0 4 | 0 0 0 8 12 6 0 0 0 2 0 0 0 2 0 | * * * 40 * * x . x3x3x4x ♦ 768 | 384 0 384 384 384 384 | 0 192 192 192 192 0 0 0 0 128 192 192 128 192 96 | 0 0 0 0 64 96 96 64 96 48 0 0 0 0 0 0 32 64 48 16 | 0 0 0 0 0 0 16 32 24 8 0 0 0 0 2 | * * * * 10 * . x3x3x3x4x ♦ 3840 | 0 1920 1920 1920 1920 1920 | 0 0 0 0 0 640 960 960 960 640 960 960 640 960 480 | 0 0 0 0 0 0 0 0 0 0 160 320 320 320 480 240 160 320 240 80 | 0 0 0 0 0 0 0 0 0 0 32 80 80 40 10 | * * * * * 2
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