Acronym | gichado | ||||||||||||||||||||||||||||||||
Name | great cubihexadecadisoctachoron | ||||||||||||||||||||||||||||||||
Cross sections |
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Circumradius | sqrt[(7-3 sqrt(2))/2] = 1.174172 | ||||||||||||||||||||||||||||||||
Coordinates | (2 sqrt(2)-1, sqrt(2)-1, 1, 1)/2 & all permutations, all changes of sign | ||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 192, 480, 320, 56 | ||||||||||||||||||||||||||||||||
Confer |
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External links |
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As abstract polytope gichado is isomorphic to sichado, thereby replacing octagrams by octagons, resp. replacing the quitco by girco and gocco by socco.
This polytope contains the vertices of quitcope.
Incidence matrix according to Dynkin symbol
x3x3o4x4/3*b . . . . | 192 | 1 2 2 | 2 2 1 2 1 | 1 2 2 1 -------------+-----+------------+----------------+---------- x . . . | 2 | 96 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 192 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 192 | 0 1 0 1 1 | 0 1 1 1 -------------+-----+------------+----------------+---------- x3x . . | 6 | 3 3 0 | 64 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 96 * * * | 0 1 1 0 . x3o . | 3 | 0 3 0 | * * 64 * * | 1 0 0 1 . x . x4/3*b | 8 | 0 4 4 | * * * 48 * | 0 1 0 1 . . o4x | 4 | 0 0 4 | * * * * 48 | 0 0 1 1 -------------+-----+------------+----------------+---------- x3x3o . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 16 * * * x3x . x4/3*b ♦ 48 | 24 24 24 | 8 12 0 6 0 | * 8 * * x . o4x ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 24 * . x3o4x4/3*b ♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * 8
x3x3/2o4/3x4/3*b . . . . | 192 | 1 2 2 | 2 2 1 2 1 | 1 2 2 1 -----------------+-----+------------+----------------+---------- x . . . | 2 | 96 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 192 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 192 | 0 1 0 1 1 | 0 1 1 1 -----------------+-----+------------+----------------+---------- x3x . . | 6 | 3 3 0 | 64 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 96 * * * | 0 1 1 0 . x3/2o . | 3 | 0 3 0 | * * 64 * * | 1 0 0 1 . x . x4/3*b | 8 | 0 4 4 | * * * 48 * | 0 1 0 1 . . o4/3x | 4 | 0 0 4 | * * * * 48 | 0 0 1 1 -----------------+-----+------------+----------------+---------- x3x3/2o . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 16 * * * x3x . x4/3*b ♦ 48 | 24 24 24 | 8 12 0 6 0 | * 8 * * x . o4/3x ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 24 * . x3/2o4/3x4/3*b ♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * 8
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