Acronym | tacogral (old: gatocral) |
Name |
tericelligreatorhombated heptapeton, pentistericantitruncated heptapeton |
Circumradius | sqrt(62/7) = 2.976095 |
Face vector | 2520, 8820, 11340, 6510, 1596, 126 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3x3x3o3x3x . . . . . . | 2520 | 1 1 2 2 1 | 1 2 2 1 2 2 1 1 2 2 1 2 | 2 2 1 1 2 2 1 2 1 2 2 1 2 1 1 2 1 | 1 2 2 1 2 1 1 2 1 1 1 2 1 1 | 1 1 2 1 1 1 ------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+---------------- x . . . . . | 2 | 1260 * * * * | 1 2 2 1 0 0 0 0 0 0 0 0 | 2 2 1 1 2 2 1 2 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 1 1 2 1 0 0 0 0 0 | 1 1 2 1 1 0 . x . . . . | 2 | * 1260 * * * | 1 0 0 0 2 2 1 0 0 0 0 0 | 2 2 1 0 0 0 0 0 1 2 2 1 2 0 0 0 0 | 1 2 2 1 2 0 0 0 0 1 1 2 1 0 | 1 1 2 1 0 1 . . x . . . | 2 | * * 2520 * * | 0 1 0 0 1 0 0 1 1 1 0 0 | 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 | 1 1 1 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1 . . . . x . | 2 | * * * 2520 * | 0 0 1 0 0 1 0 0 1 0 1 1 | 0 1 0 0 1 0 1 1 0 1 0 1 1 1 0 1 1 | 0 1 0 1 1 1 0 1 1 1 0 1 1 1 | 1 0 1 1 1 1 . . . . . x | 2 | * * * * 1260 | 0 0 0 1 0 0 1 0 0 2 0 2 | 0 0 1 0 0 2 0 2 0 0 2 0 2 0 1 2 1 | 0 0 2 0 2 0 1 2 1 0 1 2 1 1 | 0 1 2 1 1 1 ------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+---------------- x3x . . . . | 6 | 3 3 0 0 0 | 420 * * * * * * * * * * * | 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 x . x . . . | 4 | 2 0 2 0 0 | * 1260 * * * * * * * * * * | 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 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 | * * 1260 * * * * * * * * * | 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0 x . . . . x | 4 | 2 0 0 0 2 | * * * 630 * * * * * * * * | 0 0 1 0 0 2 0 2 0 0 0 0 0 0 0 0 0 | 0 0 2 0 2 0 1 2 1 0 0 0 0 0 | 0 1 2 1 1 0 . x3x . . . | 6 | 0 3 3 0 0 | * * * * 840 * * * * * * * | 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 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 | * * * * * 1260 * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 1 0 1 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1 . x . . . x | 4 | 0 2 0 0 2 | * * * * * * 630 * * * * * | 0 0 1 0 0 0 0 0 0 0 2 0 2 0 0 0 0 | 0 0 2 0 2 0 0 0 0 0 1 2 1 0 | 0 1 2 1 0 1 . . x3o . . | 3 | 0 0 3 0 0 | * * * * * * * 840 * * * * | 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 | 1 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 2 0 | * * * * * * * * 1260 * * * | 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 | 0 1 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 2 | * * * * * * * * * 1260 * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 | 0 0 1 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1 . . . o3x . | 3 | 0 0 0 3 0 | * * * * * * * * * * 840 * | 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 | 0 0 0 1 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 . . . . x3x | 6 | 0 0 0 3 3 | * * * * * * * * * * * 840 | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 | 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 ------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+---------------- x3x3x . . . ♦ 24 | 12 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 0 0 | 210 * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x3x . . x . ♦ 12 | 6 6 0 6 0 | 2 0 3 0 0 3 0 0 0 0 0 0 | * 420 * * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 x3x . . . x ♦ 12 | 6 6 0 0 6 | 2 0 0 3 0 0 3 0 0 0 0 0 | * * 210 * * * * * * * * * * * * * * | 0 0 2 0 2 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 x . x3o . . ♦ 6 | 3 0 6 0 0 | 0 3 0 0 0 0 0 2 0 0 0 0 | * * * 420 * * * * * * * * * * * * * | 1 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 4 0 | 0 2 2 0 0 0 0 0 2 0 0 0 | * * * * 630 * * * * * * * * * * * * | 0 1 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 4 | 0 2 0 2 0 0 0 0 0 2 0 0 | * * * * * 630 * * * * * * * * * * * | 0 0 1 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0 x . . o3x . ♦ 6 | 3 0 0 6 0 | 0 0 3 0 0 0 0 0 0 0 2 0 | * * * * * * 420 * * * * * * * * * * | 0 0 0 1 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 x . . . x3x ♦ 12 | 6 0 0 6 6 | 0 0 3 3 0 0 0 0 0 0 0 2 | * * * * * * * 420 * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 . x3x3o . . ♦ 12 | 0 6 12 0 0 | 0 0 0 0 4 0 0 4 0 0 0 0 | * * * * * * * * 210 * * * * * * * * | 1 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 6 0 | 0 0 0 0 2 3 0 0 3 0 0 0 | * * * * * * * * * 420 * * * * * * * | 0 1 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 6 | 0 0 0 0 2 0 3 0 0 3 0 0 | * * * * * * * * * * 420 * * * * * * | 0 0 1 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . x . o3x . ♦ 6 | 0 3 0 6 0 | 0 0 0 0 0 3 0 0 0 0 2 0 | * * * * * * * * * * * 420 * * * * * | 0 0 0 1 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 . x . . x3x ♦ 12 | 0 6 0 6 6 | 0 0 0 0 0 3 3 0 0 0 0 2 | * * * * * * * * * * * * 420 * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 . . x3o3x . ♦ 12 | 0 0 12 12 0 | 0 0 0 0 0 0 0 4 6 0 4 0 | * * * * * * * * * * * * * 210 * * * | 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 . . x3o . x ♦ 6 | 0 0 6 0 3 | 0 0 0 0 0 0 0 2 0 3 0 0 | * * * * * * * * * * * * * * 420 * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 . . x . x3x ♦ 12 | 0 0 6 6 6 | 0 0 0 0 0 0 0 0 3 3 0 2 | * * * * * * * * * * * * * * * 420 * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 . . . o3x3x ♦ 12 | 0 0 0 12 6 | 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * * * * 210 | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 ------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+---------------- x3x3x3o . . ♦ 60 | 30 30 60 0 0 | 10 30 0 0 20 0 0 20 0 0 0 0 | 5 0 0 10 0 0 0 0 5 0 0 0 0 0 0 0 0 | 42 * * * * * * * * * * * * * | 1 1 0 0 0 0 x3x3x . x . ♦ 48 | 24 24 24 24 0 | 8 12 12 0 8 12 0 0 12 0 0 0 | 2 4 0 0 6 0 0 0 0 4 0 0 0 0 0 0 0 | * 105 * * * * * * * * * * * * | 1 0 1 0 0 0 x3x3x . . x ♦ 48 | 24 24 24 0 24 | 8 12 0 12 8 0 12 0 0 12 0 0 | 2 0 4 0 0 6 0 0 0 0 4 0 0 0 0 0 0 | * * 105 * * * * * * * * * * * | 0 1 1 0 0 0 x3x . o3x . ♦ 18 | 9 9 0 18 0 | 3 0 9 0 0 9 0 0 0 0 6 0 | 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 | * * * 140 * * * * * * * * * * | 1 0 0 1 0 0 x3x . . x3x ♦ 36 | 18 18 0 18 18 | 6 0 9 9 0 9 9 0 0 0 0 6 | 0 3 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 | * * * * 140 * * * * * * * * * | 0 0 1 1 0 0 x . x3o3x . ♦ 24 | 12 0 24 24 0 | 0 12 12 0 0 0 0 8 12 0 8 0 | 0 0 0 4 6 0 4 0 0 0 0 0 0 2 0 0 0 | * * * * * 105 * * * * * * * * | 1 0 0 0 1 0 x . x3o . x ♦ 12 | 6 0 12 0 6 | 0 6 0 3 0 0 0 4 0 6 0 0 | 0 0 0 2 0 3 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * 210 * * * * * * * | 0 1 0 0 1 0 x . x . x3x ♦ 24 | 12 0 12 12 12 | 0 6 6 6 0 0 0 0 6 6 0 4 | 0 0 0 0 3 3 0 2 0 0 0 0 0 0 0 2 0 | * * * * * * * 210 * * * * * * | 0 0 1 0 1 0 x . . o3x3x ♦ 24 | 12 0 0 24 12 | 0 0 12 6 0 0 0 0 0 0 8 8 | 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 2 | * * * * * * * * 105 * * * * * | 0 0 0 1 1 0 . x3x3o3x . ♦ 60 | 0 30 60 60 0 | 0 0 0 0 20 30 0 20 30 0 20 0 | 0 0 0 0 0 0 0 0 5 10 0 10 0 5 0 0 0 | * * * * * * * * * 42 * * * * | 1 0 0 0 0 1 . x3x3o . x ♦ 24 | 0 12 24 0 12 | 0 0 0 0 8 0 6 8 0 12 0 0 | 0 0 0 0 0 0 0 0 2 0 4 0 0 0 4 0 0 | * * * * * * * * * * 105 * * * | 0 1 0 0 0 1 . x3x . x3x ♦ 36 | 0 18 18 18 18 | 0 0 0 0 6 9 9 0 9 9 0 6 | 0 0 0 0 0 0 0 0 0 3 3 0 3 0 0 3 0 | * * * * * * * * * * * 140 * * | 0 0 1 0 0 1 . x . o3x3x ♦ 24 | 0 12 0 24 12 | 0 0 0 0 0 12 6 0 0 0 8 8 | 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 2 | * * * * * * * * * * * * 105 * | 0 0 0 1 0 1 . . x3o3x3x ♦ 60 | 0 0 60 60 30 | 0 0 0 0 0 0 0 20 30 30 20 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 10 5 | * * * * * * * * * * * * * 42 | 0 0 0 0 1 1 ------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+---------------- x3x3x3o3x . ♦ 360 | 180 180 360 360 0 | 60 180 180 0 120 180 0 120 180 0 120 0 | 30 60 0 60 90 0 60 0 30 60 0 60 0 30 0 0 0 | 6 15 0 20 0 15 0 0 0 6 0 0 0 0 | 7 * * * * * x3x3x3o . x ♦ 120 | 60 60 120 0 60 | 20 60 0 30 40 0 30 40 0 60 0 0 | 10 0 10 20 0 30 0 0 10 0 20 0 0 0 20 0 0 | 2 0 5 0 0 0 10 0 0 0 5 0 0 0 | * 21 * * * * x3x3x . x3x ♦ 144 | 72 72 72 72 72 | 24 36 36 36 24 36 36 0 36 36 0 24 | 6 12 12 0 18 18 0 12 0 12 12 0 12 0 0 12 0 | 0 3 3 0 4 0 0 6 0 0 0 4 0 0 | * * 35 * * * x3x . o3x3x ♦ 72 | 36 36 0 72 36 | 12 0 36 18 0 36 18 0 0 0 24 24 | 0 12 6 0 0 0 12 12 0 0 0 12 12 0 0 0 6 | 0 0 0 4 4 0 0 0 3 0 0 0 3 0 | * * * 35 * * x . x3o3x3x ♦ 120 | 60 0 120 120 60 | 0 60 60 30 0 0 0 40 60 60 40 40 | 0 0 0 20 30 30 20 20 0 0 0 0 0 10 20 20 10 | 0 0 0 0 0 5 10 10 5 0 0 0 0 2 | * * * * 21 * . x3x3o3x3x ♦ 360 | 0 180 360 360 180 | 0 0 0 0 120 180 90 120 180 180 120 120 | 0 0 0 0 0 0 0 0 30 60 60 60 60 30 60 60 30 | 0 0 0 0 0 0 0 0 0 6 15 20 15 6 | * * * * * 7
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