Acronym | ... |
Name | 2hehad (?) |
Circumradius | 1/sqrt(2) = 0.707107 |
Coordinates | (1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign |
General of army | tac |
Colonel of regiment | tac |
Confer |
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This Grünbaumian polyteron indeed has all elements in coincident pairs, only the vertices and edges are identified; thus the vertex figure becomes a Grünbaumian double-cover of tho and the edge figure becomes a Grünbaumian double-cover of thah.
Incidence matrix according to Dynkin symbol
x3o3o3o3o3/2*b . . . . . | 10 ♦ 8 | 48 | 32 32 | 8 8 8 ---------------+----+----+-----+-------+--------- x . . . . | 2 | 40 ♦ 12 | 12 12 | 4 6 4 ---------------+----+----+-----+-------+--------- x3o . . . | 3 | 3 | 160 | 2 2 | 1 2 1 ---------------+----+----+-----+-------+--------- x3o3o . . ♦ 4 | 6 | 4 | 80 * | 1 1 0 x3o . . o3/2*b ♦ 4 | 6 | 4 | * 80 | 0 1 1 ---------------+----+----+-----+-------+--------- x3o3o3o . ♦ 5 | 10 | 10 | 5 0 | 16 * * x3o3o . o3/2*b ♦ 8 | 24 | 32 | 8 8 | * 10 * x3o . o3o3/2*b ♦ 5 | 10 | 10 | 0 5 | * * 16
x3o3o3o3/2o3*b . . . . . | 10 ♦ 8 | 48 | 32 32 | 8 8 8 ---------------+----+----+-----+-------+--------- x . . . . | 2 | 40 ♦ 12 | 12 12 | 4 6 4 ---------------+----+----+-----+-------+--------- x3o . . . | 3 | 3 | 160 | 2 2 | 1 2 1 ---------------+----+----+-----+-------+--------- x3o3o . . ♦ 4 | 6 | 4 | 80 * | 1 1 0 x3o . . o3*b ♦ 4 | 6 | 4 | * 80 | 0 1 1 ---------------+----+----+-----+-------+--------- x3o3o3o . ♦ 5 | 10 | 10 | 5 0 | 16 * * x3o3o . o3*b ♦ 8 | 24 | 32 | 8 8 | * 10 * x3o . o3/2o3*b ♦ 5 | 10 | 10 | 0 5 | * * 16
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