Acronym | getitdin | ||||||||||||||||||||||||||||||||||||||||
Name | great tesseractitriacontidiadispenteract | ||||||||||||||||||||||||||||||||||||||||
Circumradius | sqrt[15-6 sqrt(2)]/2 = 1.276197 | ||||||||||||||||||||||||||||||||||||||||
Coordinates | ((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign | ||||||||||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– other uniform polyteral members:
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Face vector | 640, 2240, 2160, 760, 92 | ||||||||||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope getitdin is isomorphic to setitdin, thereby replacing octagrams by octagons, resp. quitco by girco and gocco by socco, resp. gittith by steth and gichado by sichado.
Incidence matrix according to Dynkin symbol
x3x3o3o *b4/3x4*c . . . . . | 640 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 ------------------+-----+-------------+---------------------+----------------------+------------ x . . . . | 2 | 320 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 960 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 960 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 ------------------+-----+-------------+---------------------+----------------------+------------ x3x . . . | 6 | 3 3 0 | 320 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 480 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3o . . | 3 | 0 3 0 | * * 640 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b4/3x | 8 | 0 4 4 | * * * 240 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x4*c | 4 | 0 0 4 | * * * * 480 | 0 0 1 0 1 1 | 0 1 1 1 ------------------+-----+-------------+---------------------+----------------------+------------ x3x3o . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 160 * * * * * | 1 1 0 0 x3x . . *b4/3x ♦ 48 | 24 24 24 | 8 12 0 6 0 | * 40 * * * * | 0 2 0 0 x . o . x4*c ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 240 * * * | 0 1 1 0 . x3o3o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 160 * * | 1 0 0 1 . x3o . *b4/3x4*c ♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * * 80 * | 0 1 0 1 . . o3o x4*c ♦ 8 | 0 0 12 | 0 0 0 0 6 | * * * * * 80 | 0 0 1 1 ------------------+-----+-------------+---------------------+----------------------+------------ x3x3o3o . ♦ 20 | 10 30 0 | 10 0 20 0 0 | 5 0 0 5 0 0 | 32 * * * x3x3o . *b4/3x4*c ♦ 192 | 96 192 192 | 64 96 64 48 48 | 16 8 24 0 8 0 | * 10 * * x . o3o x4*c ♦ 16 | 8 0 24 | 0 12 0 0 12 | 0 0 6 0 0 2 | * * 40 * . x3o3o *b4/3x4*c ♦ 64 | 0 96 96 | 0 0 64 24 48 | 0 0 0 16 8 8 | * * * 10
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