| Acronym | hagippiddip |
| Name | hexagon - great-prismated-pentachoron duoprism prism |
| Circumradius | 5/2 = 2.5 |
| Face vector | 1440, 5040, 7080, 5100, 1992, 408, 38 |
| Confer |
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Incidence matrix according to Dynkin symbol
x x3x x3x3x3x . . . . . . . | 1440 | 1 2 2 2 | 2 2 2 1 4 4 2 2 1 1 | 1 4 4 2 2 1 1 2 2 4 4 2 2 2 2 | 2 2 4 4 2 2 2 2 2 2 1 1 4 4 1 | 2 2 1 1 4 4 1 2 2 2 | 2 2 2 1 ----------------+------+--------------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------------+-------------------------------+---------- x . . . . . . | 2 | 720 * * * | 2 2 2 0 0 0 0 0 0 0 | 1 4 4 2 2 1 1 0 0 0 0 0 0 0 0 | 2 2 4 4 2 2 2 2 0 0 0 0 0 0 0 | 2 2 1 1 4 4 1 0 0 0 | 2 2 2 0 . x . . . . . & | 2 | * 1440 * * | 1 0 0 1 2 2 0 0 0 0 | 1 2 2 0 0 0 0 2 2 2 2 1 1 0 0 | 2 2 2 2 1 1 0 0 2 2 1 1 2 2 0 | 2 2 1 1 2 2 0 2 2 1 | 2 2 1 1 . . . x . . . & | 2 | * * 1440 * | 0 1 0 0 2 0 1 1 1 0 | 0 2 0 1 1 1 0 1 0 2 2 2 0 1 2 | 1 0 2 2 2 0 1 2 1 1 1 0 2 4 1 | 1 1 1 0 2 4 1 1 2 2 | 1 2 2 1 . . . . x . . & | 2 | * * * 1440 | 0 0 1 0 0 2 1 1 0 1 | 0 0 2 1 1 0 1 0 1 2 2 0 2 2 1 | 0 1 2 2 0 2 2 1 1 1 0 1 4 2 1 | 1 1 0 1 4 2 1 2 1 2 | 2 1 2 1 ----------------+------+--------------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------------+-------------------------------+---------- x x . . . . . & | 4 | 2 2 0 0 | 720 * * * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 | 2 2 1 1 2 2 0 0 0 0 | 2 2 1 0 x . . x . . . & | 4 | 2 0 2 0 | * 720 * * * * * * * * | 0 2 0 1 1 1 0 0 0 0 0 0 0 0 0 | 1 0 2 2 2 0 1 2 0 0 0 0 0 0 0 | 1 1 1 0 2 4 1 0 0 0 | 1 2 2 0 x . . . x . . & | 4 | 2 0 0 2 | * * 720 * * * * * * * | 0 0 2 1 1 0 1 0 0 0 0 0 0 0 0 | 0 1 2 2 0 2 2 1 0 0 0 0 0 0 0 | 1 1 0 1 4 2 1 0 0 0 | 2 1 2 0 . x3x . . . . | 6 | 0 6 0 0 | * * * 240 * * * * * * | 1 0 0 0 0 0 0 2 2 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0 2 2 1 1 0 0 0 | 2 2 1 1 0 0 0 2 2 0 | 2 2 0 1 . x . x . . . & | 4 | 0 2 2 0 | * * * * 1440 * * * * * | 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 | 1 0 1 1 1 0 0 0 1 1 1 0 1 2 0 | 1 1 1 0 1 2 0 1 2 1 | 1 2 1 1 . x . . x . . & | 4 | 0 2 0 2 | * * * * * 1440 * * * * | 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 | 0 1 1 1 0 1 0 0 1 1 0 1 2 1 0 | 1 1 0 1 2 1 0 2 1 1 | 2 1 1 1 . . . x3x . . & | 6 | 0 0 3 3 | * * * * * * 480 * * * | 0 0 0 1 0 0 0 0 0 2 0 0 0 1 1 | 0 0 2 0 0 0 1 1 1 0 0 0 2 2 1 | 1 0 0 0 2 2 1 1 1 2 | 1 1 2 1 . . . x . x . & | 4 | 0 0 2 2 | * * * * * * * 720 * * | 0 0 0 0 1 0 0 0 0 0 2 0 0 1 1 | 0 0 0 2 0 0 1 1 0 1 0 0 2 2 1 | 0 1 0 0 2 2 1 1 1 2 | 1 1 2 1 . . . x . . x | 4 | 0 0 4 0 | * * * * * * * * 360 * | 0 0 0 0 0 1 0 0 0 0 0 2 0 0 2 | 0 0 0 0 2 0 0 2 0 0 1 0 0 4 1 | 0 0 1 0 0 4 1 0 2 2 | 0 2 2 1 . . . . x3x . | 6 | 0 0 0 6 | * * * * * * * * * 240 | 0 0 0 0 0 0 1 0 0 0 0 0 2 2 0 | 0 0 0 0 0 2 2 0 0 0 0 1 4 0 1 | 0 0 0 1 4 0 1 2 0 2 | 2 0 2 1 ----------------+------+--------------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------------+-------------------------------+---------- x x3x . . . . ♦ 12 | 6 12 0 0 | 6 0 0 2 0 0 0 0 0 0 | 120 * * * * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 1 0 0 0 0 0 0 | 2 2 0 0 x x . x . . . & ♦ 8 | 4 4 4 0 | 2 2 0 0 2 0 0 0 0 0 | * 720 * * * * * * * * * * * * * | 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 2 0 0 0 0 | 1 2 1 0 x x . . x . . & ♦ 8 | 4 4 0 4 | 2 0 2 0 0 2 0 0 0 0 | * * 720 * * * * * * * * * * * * | 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 2 1 0 0 0 0 | 2 1 1 0 x . . x3x . . & ♦ 12 | 6 0 6 6 | 0 3 3 0 0 0 2 0 0 0 | * * * 240 * * * * * * * * * * * | 0 0 2 0 0 0 1 1 0 0 0 0 0 0 0 | 1 0 0 0 2 2 1 0 0 0 | 1 1 2 0 x . . x . x . & ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 0 2 0 0 | * * * * 360 * * * * * * * * * * | 0 0 0 2 0 0 1 1 0 0 0 0 0 0 0 | 0 1 0 0 2 2 1 0 0 0 | 1 1 2 0 x . . x . . x ♦ 8 | 4 0 8 0 | 0 4 0 0 0 0 0 0 2 0 | * * * * * 180 * * * * * * * * * | 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 | 0 0 1 0 0 4 1 0 0 0 | 0 2 2 0 x . . . x3x . ♦ 12 | 6 0 0 12 | 0 0 6 0 0 0 0 0 0 2 | * * * * * * 120 * * * * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 | 0 0 0 1 4 0 1 0 0 0 | 2 0 2 0 . x3x x . . . & ♦ 12 | 0 12 6 0 | 0 0 0 2 6 0 0 0 0 0 | * * * * * * * 240 * * * * * * * | 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | 1 1 1 0 0 0 0 1 2 0 | 1 2 0 1 . x3x . x . . & ♦ 12 | 0 12 0 6 | 0 0 0 2 0 6 0 0 0 0 | * * * * * * * * 240 * * * * * * | 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 | 1 1 0 1 0 0 0 2 1 0 | 2 1 0 1 . x . x3x . . & ♦ 12 | 0 6 6 6 | 0 0 0 0 3 3 2 0 0 0 | * * * * * * * * * 480 * * * * * | 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 | 1 0 0 0 1 1 0 1 1 1 | 1 1 1 1 . x . x . x . & ♦ 8 | 0 4 4 4 | 0 0 0 0 2 2 0 2 0 0 | * * * * * * * * * * 720 * * * * | 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 1 1 1 | 1 1 1 1 . x . x . . x & ♦ 8 | 0 4 8 0 | 0 0 0 0 4 0 0 0 2 0 | * * * * * * * * * * * 360 * * * | 0 0 0 0 1 0 0 0 0 0 1 0 0 2 0 | 0 0 1 0 0 2 0 0 2 1 | 0 2 1 1 . x . . x3x . ♦ 12 | 0 6 0 12 | 0 0 0 0 0 6 0 0 0 2 | * * * * * * * * * * * * 240 * * | 0 0 0 0 0 1 0 0 0 0 0 1 2 0 0 | 0 0 0 1 2 0 0 2 0 1 | 2 0 1 1 . . . x3x3x . & ♦ 24 | 0 0 12 24 | 0 0 0 0 0 0 4 6 0 4 | * * * * * * * * * * * * * 120 * | 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 | 0 0 0 0 2 0 1 1 0 2 | 1 0 2 1 . . . x3x . x & ♦ 12 | 0 0 12 6 | 0 0 0 0 0 0 2 3 3 0 | * * * * * * * * * * * * * * 240 | 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 | 0 0 0 0 0 2 1 0 1 2 | 0 1 2 1 ----------------+------+--------------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------------+-------------------------------+---------- x x3x x . . . & ♦ 24 | 12 24 12 0 | 12 6 0 4 12 0 0 0 0 0 | 2 6 0 0 0 0 0 2 0 0 0 0 0 0 0 | 120 * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 2 0 0 x x3x . x . . & ♦ 24 | 12 24 0 12 | 12 0 6 4 0 12 0 0 0 0 | 2 0 6 0 0 0 0 0 2 0 0 0 0 0 0 | * 120 * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 2 1 0 0 x x . x3x . . & ♦ 24 | 12 12 12 12 | 6 6 6 0 6 6 4 0 0 0 | 0 3 3 2 0 0 0 0 0 2 0 0 0 0 0 | * * 240 * * * * * * * * * * * * | 1 0 0 0 1 1 0 0 0 0 | 1 1 1 0 x x . x . x . & ♦ 16 | 8 8 8 8 | 4 4 4 0 4 4 0 4 0 0 | 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 | * * * 360 * * * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 | 1 1 1 0 x x . x . . x & ♦ 16 | 8 8 16 0 | 4 8 0 0 8 0 0 0 4 0 | 0 4 0 0 0 2 0 0 0 0 0 2 0 0 0 | * * * * 180 * * * * * * * * * * | 0 0 1 0 0 2 0 0 0 0 | 0 2 1 0 x x . . x3x . & ♦ 24 | 12 12 0 24 | 6 0 12 0 0 12 0 0 0 4 | 0 0 6 0 0 0 2 0 0 0 0 0 2 0 0 | * * * * * 120 * * * * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 2 0 1 0 x . . x3x3x . & ♦ 48 | 24 0 24 48 | 0 12 24 0 0 0 8 12 0 8 | 0 0 0 4 6 0 4 0 0 0 0 0 0 2 0 | * * * * * * 60 * * * * * * * * | 0 0 0 0 2 0 1 0 0 0 | 1 0 2 0 x . . x3x . x & ♦ 24 | 12 0 24 12 | 0 12 6 0 0 0 4 6 6 0 | 0 0 0 2 3 3 0 0 0 0 0 0 0 0 2 | * * * * * * * 120 * * * * * * * | 0 0 0 0 0 2 1 0 0 0 | 0 1 2 0 . x3x x3x . . & ♦ 36 | 0 36 18 18 | 0 0 0 6 18 18 6 0 0 0 | 0 0 0 0 0 0 0 3 3 6 0 0 0 0 0 | * * * * * * * * 80 * * * * * * | 1 0 0 0 0 0 0 1 1 0 | 1 1 0 1 . x3x x . x . & ♦ 24 | 0 24 12 12 | 0 0 0 4 12 12 0 6 0 0 | 0 0 0 0 0 0 0 2 2 0 6 0 0 0 0 | * * * * * * * * * 120 * * * * * | 0 1 0 0 0 0 0 1 1 0 | 1 1 0 1 . x3x x . . x ♦ 24 | 0 24 24 0 | 0 0 0 4 24 0 0 0 6 0 | 0 0 0 0 0 0 0 4 0 0 0 6 0 0 0 | * * * * * * * * * * 60 * * * * | 0 0 1 0 0 0 0 0 2 0 | 0 2 0 1 . x3x . x3x . ♦ 36 | 0 36 0 36 | 0 0 0 6 0 36 0 0 0 6 | 0 0 0 0 0 0 0 0 6 0 0 0 6 0 0 | * * * * * * * * * * * 40 * * * | 0 0 0 1 0 0 0 2 0 0 | 2 0 0 1 . x . x3x3x . & ♦ 48 | 0 24 24 48 | 0 0 0 0 12 24 8 12 0 8 | 0 0 0 0 0 0 0 0 0 4 6 0 4 2 0 | * * * * * * * * * * * * 120 * * | 0 0 0 0 1 0 0 1 0 1 | 1 0 1 1 . x . x3x . x & ♦ 24 | 0 12 24 12 | 0 0 0 0 12 6 4 6 6 0 | 0 0 0 0 0 0 0 0 0 2 3 3 0 0 2 | * * * * * * * * * * * * * 240 * | 0 0 0 0 0 1 0 0 1 1 | 0 1 1 1 . . . x3x3x3x ♦ 120 | 0 0 120 120 | 0 0 0 0 0 0 40 60 30 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 10 20 | * * * * * * * * * * * * * * 12 | 0 0 0 0 0 0 1 0 0 2 | 0 0 2 1 ----------------+------+--------------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------------+-------------------------------+---------- x x3x x3x . . & ♦ 72 | 36 72 36 36 | 36 18 18 12 36 36 12 0 0 0 | 6 18 18 6 0 0 0 6 6 12 0 0 0 0 0 | 3 3 6 0 0 0 0 0 2 0 0 0 0 0 0 | 40 * * * * * * * * * | 1 1 0 0 x x3x x . x . & ♦ 48 | 24 48 24 24 | 24 12 12 8 24 24 0 12 0 0 | 4 12 12 0 6 0 0 4 4 0 12 0 0 0 0 | 2 2 0 6 0 0 0 0 0 2 0 0 0 0 0 | * 60 * * * * * * * * | 1 1 0 0 x x3x x . . x ♦ 48 | 24 48 48 0 | 24 24 0 8 48 0 0 0 12 0 | 4 24 0 0 0 6 0 8 0 0 0 12 0 0 0 | 4 0 0 0 6 0 0 0 0 0 2 0 0 0 0 | * * 30 * * * * * * * | 0 2 0 0 x x3x . x3x . ♦ 72 | 36 72 0 72 | 36 0 36 12 0 72 0 0 0 12 | 6 0 36 0 0 0 6 0 12 0 0 0 12 0 0 | 0 6 0 0 0 6 0 0 0 0 0 2 0 0 0 | * * * 20 * * * * * * | 2 0 0 0 x x . x3x3x . & ♦ 96 | 48 48 48 96 | 24 24 48 0 24 48 16 24 0 16 | 0 12 24 8 12 0 8 0 0 8 12 0 8 4 0 | 0 0 4 6 0 4 2 0 0 0 0 0 2 0 0 | * * * * 60 * * * * * | 1 0 1 0 x x . x3x . x & ♦ 48 | 24 24 48 24 | 12 24 12 0 24 12 8 12 12 0 | 0 12 6 4 6 6 0 0 0 4 6 6 0 0 4 | 0 0 2 3 3 0 0 2 0 0 0 0 0 2 0 | * * * * * 120 * * * * | 0 1 1 0 x . . x3x3x3x ♦ 240 | 120 0 240 240 | 0 120 120 0 0 0 80 120 60 40 | 0 0 0 40 60 30 20 0 0 0 0 0 0 20 40 | 0 0 0 0 0 0 10 20 0 0 0 0 0 0 2 | * * * * * * 6 * * * | 0 0 2 0 . x3x x3x3x . & ♦ 144 | 0 144 72 144 | 0 0 0 24 72 144 24 36 0 24 | 0 0 0 0 0 0 0 12 24 24 36 0 24 6 0 | 0 0 0 0 0 0 0 0 4 6 0 4 6 0 0 | * * * * * * * 20 * * | 1 0 0 1 . x3x x3x . x & ♦ 72 | 0 72 72 36 | 0 0 0 12 72 36 12 18 18 0 | 0 0 0 0 0 0 0 12 6 12 18 18 0 0 6 | 0 0 0 0 0 0 0 0 2 3 3 0 0 6 0 | * * * * * * * * 40 * | 0 1 0 1 . x . x3x3x3x ♦ 240 | 0 120 240 240 | 0 0 0 0 120 120 80 120 60 40 | 0 0 0 0 0 0 0 0 0 40 60 30 20 20 40 | 0 0 0 0 0 0 0 0 0 0 0 0 10 20 2 | * * * * * * * * * 12 | 0 0 1 1 ----------------+------+--------------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------------+-------------------------------+---------- x x3x x3x3x . & ♦ 288 | 144 288 144 288 | 144 72 144 48 144 288 48 72 0 48 | 24 72 144 24 36 0 24 24 48 48 72 0 48 12 0 | 12 24 24 36 0 24 6 0 8 12 0 8 12 0 0 | 4 6 0 4 6 0 0 2 0 0 | 10 * * * x x3x x3x . x & ♦ 144 | 72 144 144 72 | 72 72 36 24 144 72 24 36 36 0 | 12 72 36 12 18 18 0 24 12 24 36 36 0 0 12 | 12 6 12 18 18 0 0 6 4 6 6 0 0 12 0 | 2 3 3 0 0 6 0 0 2 0 | * 20 * * x x . x3x3x3x & ♦ 480 | 240 240 480 480 | 120 240 240 0 240 240 160 240 120 80 | 0 120 120 80 120 60 40 0 0 80 120 60 40 40 80 | 0 0 40 60 30 20 20 40 0 0 0 0 20 40 4 | 0 0 0 0 10 20 2 0 0 2 | * * 6 * . x3x x3x3x3x ♦ 720 | 0 720 720 720 | 0 0 0 120 720 720 240 360 180 120 | 0 0 0 0 0 0 0 120 120 240 360 180 120 60 120 | 0 0 0 0 0 0 0 0 40 60 30 20 60 120 6 | 0 0 0 0 0 0 0 10 20 6 | * * * 2
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