| Acronym | hagocad |
| Name | hexagon - great-cellated-dodecateron duoprism |
| Circumradius | sqrt(39)/2 = 3.122499 |
| Volume | 1458 |
| Face vector | 4320, 15120, 20880, 14400, 5172, 918, 68 |
| Confer |
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Incidence matrix according to Dynkin symbol
x3x x3x3x3x3x . . . . . . . | 4320 | 2 2 2 1 | 1 4 4 2 2 2 2 1 2 1 | 2 2 1 4 4 4 2 4 2 2 2 2 2 1 1 | 2 2 2 1 2 1 4 4 4 4 2 2 2 2 1 | 2 2 2 2 1 1 4 4 2 1 | 2 2 1 2 -----------------+------+---------------------+--------------------------------------------------+-------------------------------------------------------------------+------------------------------------------------------------+-----------------------------------+----------- x . . . . . . & | 2 | 4320 * * * | 1 2 2 1 0 0 0 0 0 0 | 2 2 1 2 2 2 1 2 1 0 0 0 0 0 0 | 2 2 2 1 2 1 2 2 2 2 1 1 0 0 0 | 2 2 2 2 1 1 2 2 1 0 | 2 2 1 1 . . x . . . . & | 2 | * 4320 * * | 0 2 0 0 1 1 1 1 0 0 | 1 0 0 2 2 2 2 0 0 1 1 2 1 1 0 | 1 1 1 1 0 0 2 2 4 2 2 0 1 2 1 | 1 1 2 1 1 0 2 4 2 1 | 1 2 1 2 . . . x . . . & | 2 | * * 4320 * | 0 0 2 0 1 0 1 0 1 1 | 0 1 0 2 0 2 0 2 2 1 2 1 1 0 1 | 1 0 1 0 1 1 2 4 2 2 0 2 2 1 1 | 1 2 1 1 0 1 4 2 2 1 | 2 1 1 2 . . . . x . . | 2 | * * * 2160 | 0 0 0 2 0 2 0 0 2 0 | 0 0 1 0 4 0 0 4 0 2 0 0 2 1 1 | 0 2 0 0 2 0 4 0 0 4 2 2 2 2 0 | 2 0 0 2 1 1 4 4 0 1 | 2 2 0 2 -----------------+------+---------------------+--------------------------------------------------+-------------------------------------------------------------------+------------------------------------------------------------+-----------------------------------+----------- x3x . . . . . | 6 | 6 0 0 0 | 720 * * * * * * * * * | 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 2 1 2 1 0 0 0 0 0 0 0 0 0 | 2 2 2 2 1 1 0 0 0 0 | 2 2 1 0 x . x . . . . & | 4 | 2 2 0 0 | * 4320 * * * * * * * * | 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 1 1 2 1 1 0 0 0 0 | 1 1 2 1 1 0 1 2 1 0 | 1 2 1 1 x . . x . . . & | 4 | 2 0 2 0 | * * 4320 * * * * * * * | 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 | 1 0 1 0 1 1 1 2 1 1 0 1 0 0 0 | 1 2 1 1 0 1 2 1 1 0 | 2 1 1 1 x . . . x . . & | 4 | 2 0 0 2 | * * * 2160 * * * * * * | 0 0 1 0 2 0 0 2 0 0 0 0 0 0 0 | 0 2 0 0 2 0 2 0 0 2 1 1 0 0 0 | 2 0 0 2 1 1 2 2 0 0 | 2 2 0 1 . . x3x . . . & | 6 | 0 3 3 0 | * * * * 1440 * * * * * | 0 0 0 2 0 0 0 0 0 1 1 1 0 0 0 | 1 0 0 0 0 0 2 2 2 0 0 0 1 1 1 | 1 1 1 0 0 0 2 2 2 1 | 1 1 1 2 . . x . x . . & | 4 | 0 2 0 2 | * * * * * 2160 * * * * | 0 0 0 0 2 0 0 0 0 1 0 0 1 1 0 | 0 1 0 0 0 0 2 0 0 2 2 0 1 2 0 | 1 0 0 1 1 0 2 4 0 1 | 1 2 0 2 . . x . . x . & | 4 | 0 2 2 0 | * * * * * * 2160 * * * | 0 0 0 0 0 2 0 0 0 0 1 1 1 0 0 | 0 0 1 0 0 0 0 2 2 2 0 0 1 1 1 | 0 1 1 1 0 0 2 2 2 1 | 1 1 1 2 . . x . . . x | 4 | 0 4 0 0 | * * * * * * * 1080 * * | 0 0 0 0 0 0 2 0 0 0 0 2 0 1 0 | 0 0 0 1 0 0 0 0 4 0 2 0 0 2 1 | 0 0 2 0 1 0 0 4 2 1 | 0 2 1 2 . . . x3x . . & | 6 | 0 0 3 3 | * * * * * * * * 1440 * | 0 0 0 0 0 0 0 2 0 1 0 0 1 0 1 | 0 0 0 0 1 0 2 0 0 2 0 2 2 1 0 | 1 0 0 1 0 1 4 2 0 1 | 2 1 0 2 . . . x . x . | 4 | 0 0 4 0 | * * * * * * * * * 1080 | 0 0 0 0 0 0 0 0 2 0 2 0 0 0 1 | 0 0 0 0 0 1 0 4 0 0 0 2 2 0 1 | 0 2 0 0 0 1 4 0 2 1 | 2 0 1 2 -----------------+------+---------------------+--------------------------------------------------+-------------------------------------------------------------------+------------------------------------------------------------+-----------------------------------+----------- x3x x . . . . & ♦ 12 | 12 6 0 0 | 2 6 0 0 0 0 0 0 0 0 | 720 * * * * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 1 0 0 0 0 0 | 1 2 1 0 x3x . x . . . & ♦ 12 | 12 0 6 0 | 2 0 6 0 0 0 0 0 0 0 | * 720 * * * * * * * * * * * * * | 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 1 0 0 0 0 | 2 1 1 0 x3x . . x . . ♦ 12 | 12 0 0 6 | 2 0 0 6 0 0 0 0 0 0 | * * 360 * * * * * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 | 2 0 0 2 1 1 0 0 0 0 | 2 2 0 0 x . x3x . . . & ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 0 0 0 | * * * 1440 * * * * * * * * * * * | 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 1 x . x . x . . & ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 0 0 0 | * * * * 2160 * * * * * * * * * * | 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 | 1 0 0 1 1 0 1 2 0 0 | 1 2 0 1 x . x . . x . & ♦ 8 | 4 4 4 0 | 0 2 2 0 0 0 2 0 0 0 | * * * * * 2160 * * * * * * * * * | 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 | 0 1 1 1 0 0 1 1 1 0 | 1 1 1 1 x . x . . . x & ♦ 8 | 4 8 0 0 | 0 4 0 0 0 0 0 2 0 0 | * * * * * * 1080 * * * * * * * * | 0 0 0 1 0 0 0 0 2 0 1 0 0 0 0 | 0 0 2 0 1 0 0 2 1 0 | 0 2 1 1 x . . x3x . . & ♦ 12 | 6 0 6 6 | 0 0 3 3 0 0 0 0 2 0 | * * * * * * * 1440 * * * * * * * | 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 | 1 0 0 1 0 1 2 1 0 0 | 2 1 0 1 x . . x . x . & ♦ 8 | 4 0 8 0 | 0 0 4 0 0 0 0 0 0 2 | * * * * * * * * 1080 * * * * * * | 0 0 0 0 0 1 0 2 0 0 0 1 0 0 0 | 0 2 0 0 0 1 2 0 1 0 | 2 0 1 1 . . x3x3x . . & ♦ 24 | 0 12 12 12 | 0 0 0 0 4 6 0 0 4 0 | * * * * * * * * * 360 * * * * * | 0 0 0 0 0 0 2 0 0 0 0 0 1 1 0 | 1 0 0 0 0 0 2 2 0 1 | 1 1 0 2 . . x3x . x . & ♦ 12 | 0 6 12 0 | 0 0 0 0 2 0 3 0 0 3 | * * * * * * * * * * 720 * * * * | 0 0 0 0 0 0 0 2 0 0 0 0 1 0 1 | 0 1 0 0 0 0 2 0 2 1 | 1 0 1 2 . . x3x . . x & ♦ 12 | 0 12 6 0 | 0 0 0 0 2 0 3 3 0 0 | * * * * * * * * * * * 720 * * * | 0 0 0 0 0 0 0 0 2 0 0 0 0 1 1 | 0 0 1 0 0 0 0 2 2 1 | 0 1 1 2 . . x . x3x . & ♦ 12 | 0 6 6 6 | 0 0 0 0 0 3 3 0 2 0 | * * * * * * * * * * * * 720 * * | 0 0 0 0 0 0 0 0 0 2 0 0 1 1 0 | 0 0 0 1 0 0 2 2 0 1 | 1 1 0 2 . . x . x . x ♦ 8 | 0 8 0 4 | 0 0 0 0 0 4 0 2 0 0 | * * * * * * * * * * * * * 540 * | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 1 0 0 4 0 1 | 0 2 0 2 . . . x3x3x . . ♦ 24 | 0 0 24 12 | 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * * * * * * * 180 | 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 | 0 0 0 0 0 1 4 0 0 1 | 2 0 0 2 -----------------+------+---------------------+--------------------------------------------------+-------------------------------------------------------------------+------------------------------------------------------------+-----------------------------------+----------- x3x x3x . . . & ♦ 36 | 36 18 18 0 | 6 18 18 0 6 0 0 0 0 0 | 3 3 0 6 0 0 0 0 0 0 0 0 0 0 0 | 240 * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 x3x x . x . . & ♦ 24 | 24 12 0 12 | 4 12 0 12 0 6 0 0 0 0 | 2 0 2 0 6 0 0 0 0 0 0 0 0 0 0 | * 360 * * * * * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 2 0 0 x3x x . . x . & ♦ 24 | 24 12 12 0 | 4 12 12 0 0 0 6 0 0 0 | 2 2 0 0 0 6 0 0 0 0 0 0 0 0 0 | * * 360 * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 x3x x . . . x ♦ 24 | 24 24 0 0 | 4 24 0 0 0 0 0 6 0 0 | 4 0 0 0 0 0 6 0 0 0 0 0 0 0 0 | * * * 180 * * * * * * * * * * * | 0 0 2 0 1 0 0 0 0 0 | 0 2 1 0 x3x . x3x . . & ♦ 36 | 36 0 18 18 | 6 0 18 18 0 0 0 0 6 0 | 0 3 3 0 0 0 0 6 0 0 0 0 0 0 0 | * * * * 240 * * * * * * * * * * | 1 0 0 1 0 1 0 0 0 0 | 2 1 0 0 x3x . x . x . ♦ 24 | 24 0 24 0 | 4 0 24 0 0 0 0 0 0 6 | 0 4 0 0 0 0 0 0 6 0 0 0 0 0 0 | * * * * * 180 * * * * * * * * * | 0 2 0 0 0 1 0 0 0 0 | 2 0 1 0 x . x3x3x . . & ♦ 48 | 24 24 24 24 | 0 12 12 12 8 12 0 0 8 0 | 0 0 0 4 6 0 0 4 0 2 0 0 0 0 0 | * * * * * * 360 * * * * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 1 x . x3x . x . & ♦ 24 | 12 12 24 0 | 0 6 12 0 4 0 6 0 0 6 | 0 0 0 2 0 3 0 0 3 0 2 0 0 0 0 | * * * * * * * 720 * * * * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 1 x . x3x . . x & ♦ 24 | 12 24 12 0 | 0 12 6 0 4 0 6 6 0 0 | 0 0 0 2 0 3 3 0 0 0 0 2 0 0 0 | * * * * * * * * 720 * * * * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 1 x . x . x3x . & ♦ 24 | 12 12 12 12 | 0 6 6 6 0 6 6 0 4 0 | 0 0 0 0 3 3 0 2 0 0 0 0 2 0 0 | * * * * * * * * * 720 * * * * * | 0 0 0 1 0 0 1 1 0 0 | 1 1 0 1 x . x . x . x & ♦ 16 | 8 16 0 8 | 0 8 0 4 0 8 0 4 0 0 | 0 0 0 0 4 0 2 0 0 0 0 0 0 2 0 | * * * * * * * * * * 540 * * * * | 0 0 0 0 1 0 0 2 0 0 | 0 2 0 1 x . . x3x3x . & ♦ 48 | 24 0 48 24 | 0 0 24 12 0 0 0 0 16 12 | 0 0 0 0 0 0 0 8 6 0 0 0 0 0 2 | * * * * * * * * * * * 180 * * * | 0 0 0 0 0 1 2 0 0 0 | 2 0 0 1 . . x3x3x3x . & ♦ 120 | 0 60 120 60 | 0 0 0 0 20 30 30 0 40 30 | 0 0 0 0 0 0 0 0 0 5 10 0 10 0 5 | * * * * * * * * * * * * 72 * * | 0 0 0 0 0 0 2 0 0 1 | 1 0 0 2 . . x3x3x . x & ♦ 48 | 0 48 24 24 | 0 0 0 0 8 24 12 12 8 0 | 0 0 0 0 0 0 0 0 0 2 0 4 4 6 0 | * * * * * * * * * * * * * 180 * | 0 0 0 0 0 0 0 2 0 1 | 0 1 0 2 . . x3x . x3x ♦ 36 | 0 36 36 0 | 0 0 0 0 12 0 18 9 0 9 | 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 | * * * * * * * * * * * * * * 120 | 0 0 0 0 0 0 0 0 2 1 | 0 0 1 2 -----------------+------+---------------------+--------------------------------------------------+-------------------------------------------------------------------+------------------------------------------------------------+-----------------------------------+----------- x3x x3x3x . . & ♦ 144 | 144 72 72 72 | 24 72 72 72 24 36 0 0 24 0 | 12 12 12 24 36 0 0 24 0 6 0 0 0 0 0 | 4 6 0 0 4 0 6 0 0 0 0 0 0 0 0 | 60 * * * * * * * * * | 1 1 0 0 x3x x3x . x . & ♦ 72 | 72 36 72 0 | 12 36 72 0 12 0 18 0 0 18 | 6 12 0 12 0 18 0 0 18 0 6 0 0 0 0 | 2 0 3 0 0 3 0 6 0 0 0 0 0 0 0 | * 120 * * * * * * * * | 1 0 1 0 x3x x3x . . x & ♦ 72 | 72 72 36 0 | 12 72 36 0 12 0 18 18 0 0 | 12 6 0 12 0 18 18 0 0 0 0 6 0 0 0 | 2 0 3 3 0 0 0 0 6 0 0 0 0 0 0 | * * 120 * * * * * * * | 0 1 1 0 x3x x . x3x . & ♦ 72 | 72 36 36 36 | 12 36 36 36 0 18 18 0 12 0 | 6 6 6 0 18 18 0 12 0 0 0 0 6 0 0 | 0 3 3 0 2 0 0 0 0 6 0 0 0 0 0 | * * * 120 * * * * * * | 1 1 0 0 x3x x . x . x ♦ 48 | 48 48 0 24 | 8 48 0 24 0 24 0 12 0 0 | 8 0 4 0 24 0 12 0 0 0 0 0 0 6 0 | 0 4 0 2 0 0 0 0 0 0 6 0 0 0 0 | * * * * 90 * * * * * | 0 2 0 0 x3x . x3x3x . ♦ 144 | 144 0 144 72 | 24 0 144 72 0 0 0 0 48 36 | 0 24 12 0 0 0 0 48 36 0 0 0 0 0 6 | 0 0 0 0 8 6 0 0 0 0 0 6 0 0 0 | * * * * * 30 * * * * | 2 0 0 0 x . x3x3x3x . & ♦ 240 | 120 120 240 120 | 0 60 120 60 40 60 60 0 80 60 | 0 0 0 20 30 30 0 40 30 10 20 0 20 0 10 | 0 0 0 0 0 0 5 10 0 10 0 5 2 0 0 | * * * * * * 72 * * * | 1 0 0 1 x . x3x3x . x & ♦ 96 | 48 96 48 48 | 0 48 24 24 16 48 24 24 16 0 | 0 0 0 8 24 12 12 8 0 4 0 8 8 12 0 | 0 0 0 0 0 0 2 0 4 4 6 0 0 2 0 | * * * * * * * 180 * * | 0 1 0 1 x . x3x . x3x & ♦ 72 | 36 72 72 0 | 0 36 36 0 24 0 36 18 0 18 | 0 0 0 12 0 18 9 0 9 0 12 12 0 0 0 | 0 0 0 0 0 0 0 6 6 0 0 0 0 0 2 | * * * * * * * * 120 * | 0 0 1 1 . . x3x3x3x3x ♦ 720 | 0 720 720 360 | 0 0 0 0 240 360 360 180 240 180 | 0 0 0 0 0 0 0 0 0 60 120 120 120 90 30 | 0 0 0 0 0 0 0 0 0 0 0 0 12 30 20 | * * * * * * * * * 6 | 0 0 0 2 -----------------+------+---------------------+--------------------------------------------------+-------------------------------------------------------------------+------------------------------------------------------------+-----------------------------------+----------- x3x x3x3x3x . & ♦ 720 | 720 360 720 360 | 120 360 720 360 120 180 180 0 240 180 | 60 120 60 120 180 180 0 240 180 30 60 0 60 0 30 | 20 30 30 0 40 30 30 60 0 60 0 30 6 0 0 | 5 10 0 10 0 5 6 0 0 0 | 12 * * * x3x x3x3x . x & ♦ 288 | 288 288 144 144 | 48 288 144 144 48 144 72 72 48 0 | 48 24 24 48 144 72 72 48 0 12 0 24 24 36 0 | 8 24 12 12 8 0 12 0 24 24 36 0 0 6 0 | 2 0 4 4 6 0 0 6 0 0 | * 30 * * x3x x3x . x3x ♦ 216 | 216 216 216 0 | 36 216 216 0 72 0 108 54 0 54 | 36 36 0 72 0 108 54 0 54 0 36 36 0 0 0 | 12 0 18 9 0 9 0 36 36 0 0 0 0 0 6 | 0 6 6 0 0 0 0 0 6 0 | * * 20 * x . x3x3x3x3x & ♦ 1440 | 720 1440 1440 720 | 0 720 720 360 480 720 720 360 480 360 | 0 0 0 240 360 360 180 240 180 120 240 240 240 180 60 | 0 0 0 0 0 0 60 120 120 120 90 30 24 60 40 | 0 0 0 0 0 0 12 30 20 2 | * * * 6
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