Acronym | ... |
Name | 2huhoh+3tes+8co (?) |
Circumradius | 1 |
Coordinates | |
General of army | ico |
Colonel of regiment | ico |
Confer |
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This Grünbaumian polychoron can be seen as a blend of 2 coincident huhoh (where the cho will blend out, while the thah would combine to 2thah) plus gico (the 3 tes compound) and 8 additional co cells. And indeed, the vertex figure is a crossed faceting of a rightangled-triangular prismatic half of the cube vertex figure of ico. Therefore the vertices of this polychoron coincide by 4.
Incidence matrix according to Dynkin symbol
x3o3/2x4o . . . . | 96 | 2 4 | 1 4 2 2 | 2 2 1 ----------+----+--------+-------------+-------- x . . . | 2 | 96 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 192 | 0 1 1 1 | 1 1 1 ----------+----+--------+-------------+-------- x3o . . | 3 | 3 0 | 32 * * * | 2 0 0 x . x . | 4 | 2 2 | * 96 * * | 1 1 0 . o3/2x . | 3 | 0 3 | * * 64 * | 1 0 1 . . x4o | 4 | 0 4 | * * * 48 | 0 1 1 ----------+----+--------+-------------+-------- x3o3/2x . ♦ 12 | 12 12 | 4 6 4 0 | 16 * * x . x4o ♦ 8 | 4 8 | 0 4 0 2 | * 24 * . o3/2x4o ♦ 12 | 0 24 | 0 0 8 6 | * * 8
x3o3/2x4/3o . . . . | 96 | 2 4 | 1 4 2 2 | 2 2 1 ------------+----+--------+-------------+-------- x . . . | 2 | 96 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 192 | 0 1 1 1 | 1 1 1 ------------+----+--------+-------------+-------- x3o . . | 3 | 3 0 | 32 * * * | 2 0 0 x . x . | 4 | 2 2 | * 96 * * | 1 1 0 . o3/2x . | 3 | 0 3 | * * 64 * | 1 0 1 . . x4/3o | 4 | 0 4 | * * * 48 | 0 1 1 ------------+----+--------+-------------+-------- x3o3/2x . ♦ 12 | 12 12 | 4 6 4 0 | 16 * * x . x4/3o ♦ 8 | 4 8 | 0 4 0 2 | * 24 * . o3/2x4/3o ♦ 12 | 0 24 | 0 0 8 6 | * * 8
x3/2o3x4o . . . . | 96 | 2 4 | 1 4 2 2 | 2 2 1 ----------+----+--------+-------------+-------- x . . . | 2 | 96 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 192 | 0 1 1 1 | 1 1 1 ----------+----+--------+-------------+-------- x3/2o . . | 3 | 3 0 | 32 * * * | 2 0 0 x . x . | 4 | 2 2 | * 96 * * | 1 1 0 . o3x . | 3 | 0 3 | * * 64 * | 1 0 1 . . x4o | 4 | 0 4 | * * * 48 | 0 1 1 ----------+----+--------+-------------+-------- x3/2o3x . ♦ 12 | 12 12 | 4 6 4 0 | 16 * * x . x4o ♦ 8 | 4 8 | 0 4 0 2 | * 24 * . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * 8
x3/2o3x4/3o . . . . | 96 | 2 4 | 1 4 2 2 | 2 2 1 ------------+----+--------+-------------+-------- x . . . | 2 | 96 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 192 | 0 1 1 1 | 1 1 1 ------------+----+--------+-------------+-------- x3/2o . . | 3 | 3 0 | 32 * * * | 2 0 0 x . x . | 4 | 2 2 | * 96 * * | 1 1 0 . o3x . | 3 | 0 3 | * * 64 * | 1 0 1 . . x4/3o | 4 | 0 4 | * * * 48 | 0 1 1 ------------+----+--------+-------------+-------- x3/2o3x . ♦ 12 | 12 12 | 4 6 4 0 | 16 * * x . x4/3o ♦ 8 | 4 8 | 0 4 0 2 | * 24 * . o3x4/3o ♦ 12 | 0 24 | 0 0 8 6 | * * 8
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