Acronym | cogart (old: gocart) | |||||||||||||||||||||||||||
Name |
celligreatorhombated triacontiditeron, (great cellirhombated triacontiditeron), stericantitruncated pentacross | |||||||||||||||||||||||||||
Field of sections |
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Circumradius | sqrt[33+12 sqrt(2)]/2 = 3.534493 | |||||||||||||||||||||||||||
Vertex figure |
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Coordinates | ((1+3 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign | |||||||||||||||||||||||||||
General of army | (is itself convex) | |||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polyteral members:
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Face vector | 1920, 5760, 5920, 2320, 242 | |||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope cogart is isomorphic to quicgrat, thereby replacing sirco by querco, resp. sircope by quercope and prit by paqrit.
Incidence matrix according to Dynkin symbol
x3x3x3o4x . . . . . | 1920 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+------+-------------------+---------------------------------+------------------------------------+--------------- x . . . . | 2 | 960 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 960 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 1920 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 1920 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 | 320 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 960 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 960 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 640 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 960 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 640 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 960 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4x | 4 | 0 0 0 4 | * * * * * * * 480 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 160 * * * * * * * * | 1 1 0 0 0 x3x . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 320 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 320 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 480 * * * * * | 0 1 0 1 0 x . . o4x ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 240 * * * * | 0 0 1 1 0 . x3x3o . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 160 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 320 * * | 0 1 0 0 1 . x . o4x ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 240 * | 0 0 1 0 1 . . x3o4x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 8 12 6 | * * * * * * * * 80 | 0 0 0 1 1 ----------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x3x3o . ♦ 60 | 30 30 60 0 | 10 30 0 20 0 20 0 0 | 5 0 10 0 0 5 0 0 0 | 32 * * * * x3x3x . x ♦ 48 | 24 24 24 24 | 8 12 12 8 12 0 12 0 | 2 4 0 6 0 0 4 0 0 | * 80 * * * x3x . o4x ♦ 24 | 12 12 0 24 | 4 0 12 0 12 0 0 6 | 0 4 0 0 3 0 0 3 0 | * * 80 * * x . x3o4x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 16 24 12 | 0 0 8 12 6 0 0 0 2 | * * * 40 * . x3x3o4x ♦ 192 | 0 96 192 192 | 0 0 0 64 96 64 96 48 | 0 0 0 0 0 16 32 24 8 | * * * * 10 snubbed forms: x3x3x3o4s
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