Acronym | gipti | ||||||||||||||||||||||||||||||||
Name | great prismatotriakisicositetrachoron | ||||||||||||||||||||||||||||||||
Circumradius | sqrt[8-3 sqrt(2)] = 1.938391 | ||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 576, 1440, 960, 168 | ||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope gipti is isomorphic to sipti, thereby replacing octagrams by octagons, respectively quitco by girco and gocco by socco.
Incidence matrix according to Dynkin symbol
x3x4o3x4/3*b . . . . | 576 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 -------------+-----+-------------+---------------------+------------ x . . . | 2 | 288 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 576 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 576 | 0 1 0 1 1 | 0 1 1 1 -------------+-----+-------------+---------------------+------------ x3x . . | 6 | 3 3 0 | 192 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 288 * * * | 0 1 1 0 . x4o . | 4 | 0 4 0 | * * 144 * * | 1 0 0 1 . x . x4/3*b | 8 | 0 4 4 | * * * 144 * | 0 1 0 1 . . o3x | 3 | 0 0 3 | * * * * 192 | 0 0 1 1 -------------+-----+-------------+---------------------+------------ x3x4o . ♦ 24 | 12 24 0 | 8 0 6 0 0 | 24 * * * x3x . x4/3*b ♦ 48 | 24 24 24 | 8 12 0 6 0 | * 24 * * x . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 96 * . x4o3x4/3*b ♦ 24 | 0 24 24 | 0 0 6 6 8 | * * * 24
x3x4/3o3/2x4/3*b . . . . | 576 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 -----------------+-----+-------------+---------------------+------------ x . . . | 2 | 288 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 576 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 576 | 0 1 0 1 1 | 0 1 1 1 -----------------+-----+-------------+---------------------+------------ x3x . . | 6 | 3 3 0 | 192 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 288 * * * | 0 1 1 0 . x4/3o . | 4 | 0 4 0 | * * 144 * * | 1 0 0 1 . x . x4/3*b | 8 | 0 4 4 | * * * 144 * | 0 1 0 1 . . o3/2x | 3 | 0 0 3 | * * * * 192 | 0 0 1 1 -----------------+-----+-------------+---------------------+------------ x3x4/3o . ♦ 24 | 12 24 0 | 8 0 6 0 0 | 24 * * * x3x . x4/3*b ♦ 48 | 24 24 24 | 8 12 0 6 0 | * 24 * * x . o3/2x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 96 * . x4/3o3/2x4/3*b ♦ 24 | 0 24 24 | 0 0 6 6 8 | * * * 24
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