omnitruncated heptapeton,
Voronoi cell of lattice A6*,
permutopeton of 7 elements
wrt. hatoe
wrt. gippiddip
wrt. gocad
- general polytopal classes:
- Wythoffian polypeta lace simplices
- analogs:
- omnitruncated simplex otSn
links
| Acronym | gotaf |
| Name |
great terated tetradecapeton, omnitruncated heptapeton, Voronoi cell of lattice A6*, permutopeton of 7 elements |
| Circumradius | sqrt(14) = 3.741657 |
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Inradius wrt. hatoe | sqrt(21/2) = 3.240370 |
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Inradius wrt. gippiddip | sqrt(35)/2 = 2.958040 |
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Inradius wrt. gocad | sqrt(21)/2 = 2.291288 |
| Volume | 16807 sqrt(7)/8 = 5558.392786 |
| Face vector | 5040, 15120, 16800, 8400, 1806, 126 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3x3x3x3x . . . . . . | 5040 | 2 2 2 | 2 2 2 2 1 2 2 1 1 | 2 2 2 2 2 2 2 2 2 2 | 2 2 2 2 2 1 2 1 1 | 2 2 2 ---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+--------- x . . . . . & | 2 | 5040 * * | 1 1 1 1 1 0 0 0 0 | 1 1 1 2 1 1 2 1 0 0 | 1 1 2 1 2 1 1 1 0 | 1 2 2 . x . . . . & | 2 | * 5040 * | 1 0 0 1 0 1 1 1 0 | 1 1 2 1 0 1 0 1 1 2 | 1 2 1 2 1 1 1 0 1 | 2 1 2 . . x . . . & | 2 | * * 5040 | 0 1 1 0 0 1 1 0 1 | 1 1 0 0 2 1 1 1 2 1 | 2 1 1 1 1 0 2 1 1 | 2 2 1 ---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+--------- x3x . . . . & | 6 | 3 3 0 | 1680 * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 2 x . x . . . & | 4 | 2 0 2 | * 2520 * * * * * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 1 0 1 1 0 | 1 2 1 x . . x . . & | 4 | 2 0 2 | * * 2520 * * * * * * | 0 1 0 0 1 0 1 1 0 0 | 1 0 1 1 1 0 1 1 0 | 1 2 1 x . . . x . & | 4 | 2 2 0 | * * * 2520 * * * * * | 0 0 1 1 0 1 0 1 0 0 | 0 1 1 1 1 1 1 0 0 | 1 1 2 x . . . . x | 4 | 4 0 0 | * * * * 1260 * * * * | 0 0 0 2 0 0 2 0 0 0 | 0 0 2 0 2 1 0 1 0 | 0 2 2 . x3x . . . & | 6 | 0 3 3 | * * * * * 1680 * * * | 1 0 0 0 0 0 0 1 1 1 | 1 1 1 1 0 0 1 0 1 | 2 1 1 . x . x . . & | 4 | 0 2 2 | * * * * * * 2520 * * | 0 1 0 0 0 1 0 0 1 1 | 1 1 0 1 1 0 1 0 1 | 2 1 1 . x . . x . | 4 | 0 4 0 | * * * * * * * 1260 * | 0 0 2 0 0 0 0 0 0 2 | 0 2 0 2 0 1 0 0 1 | 2 0 2 . . x3x . . | 6 | 0 0 6 | * * * * * * * * 840 | 0 0 0 0 2 0 0 0 2 0 | 2 0 0 0 0 0 2 1 1 | 2 2 0 ---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+--------- x3x3x . . . & ♦ 24 | 12 12 12 | 4 6 0 0 0 4 0 0 0 | 420 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 x3x . x . . & ♦ 12 | 6 6 6 | 2 0 3 0 0 0 3 0 0 | * 840 * * * * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 1 x3x . . x . & ♦ 12 | 6 12 0 | 2 0 0 3 0 0 0 3 0 | * * 840 * * * * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 2 x3x . . . x & ♦ 12 | 12 6 0 | 2 0 0 3 3 0 0 0 0 | * * * 840 * * * * * * | 0 0 1 0 1 1 0 0 0 | 0 1 2 x . x3x . . & ♦ 12 | 6 0 12 | 0 3 3 0 0 0 0 0 2 | * * * * 840 * * * * * | 1 0 0 0 0 0 1 1 0 | 1 2 0 x . x . x . & ♦ 8 | 4 4 4 | 0 2 0 2 0 0 2 0 0 | * * * * * 1260 * * * * | 0 1 0 0 1 0 1 0 0 | 1 1 1 x . x . . x & ♦ 8 | 8 0 4 | 0 2 2 0 2 0 0 0 0 | * * * * * * 1260 * * * | 0 0 1 0 1 0 0 1 0 | 0 2 1 x . . x3x . & ♦ 12 | 6 6 6 | 0 0 3 3 0 2 0 0 0 | * * * * * * * 840 * * | 0 0 1 1 0 0 1 0 0 | 1 1 1 . x3x3x . . & ♦ 24 | 0 12 24 | 0 0 0 0 0 4 6 0 4 | * * * * * * * * 420 * | 1 0 0 0 0 0 1 0 1 | 2 1 0 . x3x . x . & ♦ 12 | 0 12 6 | 0 0 0 0 0 2 3 3 0 | * * * * * * * * * 840 | 0 1 0 1 0 0 0 0 1 | 2 0 1 ---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+--------- x3x3x3x . . & ♦ 120 | 60 60 120 | 20 30 30 0 0 20 30 0 20 | 5 10 0 0 10 0 0 0 5 0 | 84 * * * * * * * * | 1 1 0 x3x3x . x . & ♦ 48 | 24 48 24 | 8 12 0 12 0 8 12 12 0 | 2 0 4 0 0 6 0 0 0 4 | * 210 * * * * * * * | 1 0 1 x3x3x . . x & ♦ 48 | 48 24 24 | 8 12 12 12 12 8 0 0 0 | 2 0 0 4 0 0 6 4 0 0 | * * 210 * * * * * * | 0 1 1 x3x . x3x . & ♦ 36 | 18 36 18 | 6 0 9 9 0 6 9 9 0 | 0 3 3 0 0 0 0 3 0 3 | * * * 280 * * * * * | 1 0 1 x3x . x . x & ♦ 24 | 24 12 12 | 4 6 6 6 6 0 6 0 0 | 0 2 0 2 0 3 3 0 0 0 | * * * * 420 * * * * | 0 1 1 x3x . . x3x ♦ 36 | 36 36 0 | 12 0 0 18 9 0 0 9 0 | 0 0 6 6 0 0 0 0 0 0 | * * * * * 140 * * * | 0 0 2 x . x3x3x . & ♦ 48 | 24 24 48 | 0 12 12 12 0 8 12 0 8 | 0 0 0 0 4 6 0 4 2 0 | * * * * * * 210 * * | 1 1 0 x . x3x . x ♦ 24 | 24 0 24 | 0 12 12 0 6 0 0 0 4 | 0 0 0 0 4 0 6 0 0 0 | * * * * * * * 210 * | 0 2 0 . x3x3x3x . ♦ 120 | 0 120 120 | 0 0 0 0 0 40 60 30 20 | 0 0 0 0 0 0 0 0 10 20 | * * * * * * * * 42 | 2 0 0 ---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+--------- x3x3x3x3x . & ♦ 720 | 360 720 720 | 120 180 180 180 0 240 360 180 120 | 30 60 60 0 60 90 0 60 60 120 | 6 15 0 20 0 0 15 0 6 | 14 * * x3x3x3x . x & ♦ 240 | 240 120 240 | 40 120 120 60 60 40 60 0 40 | 10 20 0 20 40 30 60 20 10 0 | 2 0 5 0 10 0 5 10 0 | * 42 * x3x3x . x3x & ♦ 144 | 144 144 72 | 48 36 36 72 36 24 36 36 0 | 6 12 24 24 0 18 18 12 0 12 | 0 3 3 4 6 4 0 0 0 | * * 70
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