Acronym | ... |
Name | 2rhohid (?) |
Circumradius | 1 |
Coordinates | (1/sqrt(2), 1/sqrt(2), 0, 0, 0) & all permutations, all changes of sign |
General of army | rat |
Colonel of regiment | rat |
Confer |
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This Grünbaumian polyteron indeed has all elements in coincident pairs, only the vertices are identified; thus the vertex figure becomes a Grünbaumian double-cover of thahp.
Incidence matrix according to Dynkin symbol
o3x3o3o3/2o3*b . . . . . | 40 ♦ 24 | 12 24 24 | 12 12 8 12 8 | 4 6 4 2 ---------------+----+-----+-------------+----------------+------------ . x . . . | 2 | 480 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ---------------+----+-----+-------------+----------------+------------ o3x . . . | 3 | 3 | 160 * * | 2 2 0 0 0 | 1 2 1 0 . x3o . . | 3 | 3 | * 320 * | 1 0 1 1 0 | 1 1 0 1 . x . . o3*b | 3 | 3 | * * 320 | 0 1 0 1 1 | 0 1 1 1 ---------------+----+-----+-------------+----------------+------------ o3x3o . . ♦ 6 | 12 | 4 4 0 | 80 * * * * | 1 1 0 0 o3x . . o3*b ♦ 6 | 12 | 4 0 4 | * 80 * * * | 0 1 1 0 . x3o3o . ♦ 4 | 6 | 0 4 0 | * * 80 * * | 1 0 0 1 . x3o . o3*b ♦ 6 | 12 | 0 4 4 | * * * 80 * | 0 1 0 1 . x . o3/2o3*b ♦ 4 | 6 | 0 0 4 | * * * * 80 | 0 0 1 1 ---------------+----+-----+-------------+----------------+------------ o3x3o3o . ♦ 10 | 30 | 10 20 0 | 5 0 5 0 0 | 16 * * * o3x3o . o3*b ♦ 24 | 96 | 32 32 32 | 8 8 0 8 0 | * 10 * * o3x . o3/2o3*b ♦ 10 | 30 | 10 0 20 | 0 5 0 0 5 | * * 16 * . x3o3o3/2o3*b ♦ 8 | 48 | 0 32 32 | 0 0 8 8 8 | * * * 10
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