| Acronym | gocad (old: gohad) |
| Name |
great cellated dodecateron (great hedrated dodecateron), omnitruncated hexateron, Voronoi cell of lattice A5*, permutoteron of 6 elements |
| Field of sections |
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| Circumradius | sqrt(35)/2 = 2.958040 |
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Inradius wrt. hiddip | sqrt(27)/2 = 2.598076 |
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Inradius wrt. tope | sqrt(6) = 2.449490 |
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Inradius wrt. gippid | sqrt(15)/2 = 1.936492 |
| Vertex figure |
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| Volume | 324 sqrt(3) = 561.184462 |
| Face vector | 720, 1800, 1560, 560, 62 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3x3x3x . . . . . | 720 | 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 | 360 * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 360 * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 360 * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 360 * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 360 | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+-----+---------------------+-----------------------------------------+-------------------------------+------------- x3x . . . | 6 | 3 3 0 0 0 | 120 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 180 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 180 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 180 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 0 | * * * * 120 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 180 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 180 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 120 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * * 180 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3x | 6 | 0 0 0 3 3 | * * * * * * * * * 120 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+---------------------+-----------------------------------------+-------------------------------+------------- x3x3x . . ♦ 24 | 12 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 | 30 * * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 0 | 2 0 3 0 0 3 0 0 0 0 | * 60 * * * * * * * * | 1 0 1 0 0 x3x . . x ♦ 12 | 6 6 0 0 6 | 2 0 0 3 0 0 3 0 0 0 | * * 60 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 | * * * 60 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 | * * * * 90 * * * * * | 0 1 0 1 0 x . . x3x ♦ 12 | 6 0 0 6 6 | 0 0 3 3 0 0 0 0 0 2 | * * * * * 60 * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 0 | 0 0 0 0 4 6 0 4 0 0 | * * * * * * 30 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 0 6 | 0 0 0 0 2 0 3 0 3 0 | * * * * * * * 60 * * | 0 1 0 0 1 . x . x3x ♦ 12 | 0 6 0 6 6 | 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * 60 * | 0 0 1 0 1 . . x3x3x ♦ 24 | 0 0 12 12 12 | 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * 30 | 0 0 0 1 1 ----------+-----+---------------------+-----------------------------------------+-------------------------------+------------- x3x3x3x . ♦ 120 | 60 60 60 60 0 | 20 30 30 0 20 30 0 20 0 0 | 5 10 0 10 0 0 5 0 0 0 | 6 * * * * x3x3x . x ♦ 48 | 24 24 24 0 24 | 8 12 0 12 8 0 12 0 12 0 | 2 0 4 0 6 0 0 4 0 0 | * 15 * * * x3x . x3x ♦ 36 | 18 18 0 18 18 | 6 0 9 9 0 9 9 0 0 6 | 0 3 3 0 0 3 0 0 3 0 | * * 20 * * x . x3x3x ♦ 48 | 24 0 24 24 24 | 0 12 12 12 0 0 0 8 12 8 | 0 0 0 4 6 4 0 0 0 2 | * * * 15 * . x3x3x3x ♦ 120 | 0 60 60 60 60 | 0 0 0 0 20 30 30 20 30 20 | 0 0 0 0 0 0 5 10 10 5 | * * * * 6
or . . . . . | 720 | 2 2 1 | 2 2 2 1 2 1 | 2 2 2 2 1 1 | 2 2 1 -------------+-----+-------------+-------------------------+----------------------+--------- x . . . . & | 2 | 720 * * | 1 1 1 1 0 0 | 1 1 2 1 1 0 | 1 2 1 . x . . . & | 2 | * 720 * | 1 0 1 0 1 1 | 1 2 1 1 0 1 | 2 1 1 . . x . . | 2 | * * 360 | 0 2 0 0 2 0 | 2 0 0 2 1 1 | 2 2 0 -------------+-----+-------------+-------------------------+----------------------+--------- x3x . . . & | 6 | 3 3 0 | 240 * * * * * | 1 1 1 0 0 0 | 1 1 1 x . x . . & | 4 | 2 0 2 | * 360 * * * * | 1 0 0 1 1 0 | 1 2 0 x . . x . & | 4 | 2 2 0 | * * 360 * * * | 0 1 1 1 0 0 | 1 1 1 x . . . x | 4 | 4 0 0 | * * * 180 * * | 0 0 2 0 1 0 | 0 2 1 . x3x . . & | 6 | 0 3 3 | * * * * 240 * | 1 0 0 1 0 1 | 2 1 0 . x . x . | 4 | 0 4 0 | * * * * * 180 | 0 2 0 0 0 1 | 2 0 1 -------------+-----+-------------+-------------------------+----------------------+--------- x3x3x . . & ♦ 24 | 12 12 12 | 4 6 0 0 4 0 | 60 * * * * * | 1 1 0 x3x . x . & ♦ 12 | 6 12 0 | 2 0 3 0 0 3 | * 120 * * * * | 1 0 1 x3x . . x & ♦ 12 | 12 6 0 | 2 0 3 3 0 0 | * * 120 * * * | 0 1 1 x . x3x . & ♦ 12 | 6 6 6 | 0 3 3 0 2 0 | * * * 120 * * | 1 1 0 x . x . x ♦ 8 | 8 0 4 | 0 4 0 2 0 0 | * * * * 90 * | 0 2 0 . x3x3x . ♦ 24 | 0 24 12 | 0 0 0 0 8 6 | * * * * * 30 | 2 0 0 -------------+-----+-------------+-------------------------+----------------------+--------- x3x3x3x . & ♦ 120 | 60 120 60 | 20 30 30 0 40 30 | 5 10 0 10 0 5 | 12 * * x3x3x . x & ♦ 48 | 48 24 24 | 8 24 12 12 8 0 | 2 0 4 4 6 0 | * 30 * x3x . x3x ♦ 36 | 36 36 0 | 12 0 18 9 0 9 | 0 6 6 0 0 0 | * * 20 snubbed forms: s3s3s3s3s
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