Acronym | ... |
Name | 2thox (?) |
Circumradius | 1/sqrt(2) = 0.707107 |
Coordinates | (1/sqrt(2), 0, 0, 0, 0, 0) & all permutations, all changes of sign |
General of army | gee |
Colonel of regiment | gee |
Confer |
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This Grünbaumian polypeton indeed has all elements in coincident pairs, only the vertices and edges are identified; thus the vertex figure becomes a Grünbaumian double-cover of hehad, the edge figure becomes a Grünbaumian double-cover of tho, and the face figure becomes a Grünbaumian double-cover of thah.
Incidence matrix according to Dynkin symbol
x3o3o3o3o3o3/2*c . . . . . . | 12 ♦ 10 | 40 | 160 | 80 80 | 16 10 16 -----------------+----+----+-----+-----+---------+--------- x . . . . . | 2 | 60 ♦ 8 | 48 | 32 32 | 8 8 8 -----------------+----+----+-----+-----+---------+--------- x3o . . . . | 3 | 3 | 160 ♦ 12 | 12 12 | 4 6 4 -----------------+----+----+-----+-----+---------+--------- x3o3o . . . ♦ 4 | 6 | 4 | 480 | 2 2 | 1 2 1 -----------------+----+----+-----+-----+---------+--------- x3o3o3o . . ♦ 5 | 10 | 10 | 5 | 192 * | 1 1 0 x3o3o . . o3/2*c ♦ 5 | 10 | 10 | 5 | * 192 | 0 1 1 -----------------+----+----+-----+-----+---------+--------- x3o3o3o3o . ♦ 6 | 15 | 20 | 15 | 6 0 | 32 * * x3o3o3o . o3/2*c ♦ 10 | 40 | 80 | 80 | 16 16 | * 12 * x3o3o . o3o3/2*c ♦ 6 | 15 | 20 | 15 | 0 6 | * * 32
x3o3o3o3o3/2o3*c . . . . . . | 12 ♦ 10 | 40 | 160 | 80 80 | 16 10 16 -----------------+----+----+-----+-----+---------+--------- x . . . . . | 2 | 60 ♦ 8 | 48 | 32 32 | 8 8 8 -----------------+----+----+-----+-----+---------+--------- x3o . . . . | 3 | 3 | 160 ♦ 12 | 12 12 | 4 6 4 -----------------+----+----+-----+-----+---------+--------- x3o3o . . . ♦ 4 | 6 | 4 | 480 | 2 2 | 1 2 1 -----------------+----+----+-----+-----+---------+--------- x3o3o3o . . ♦ 5 | 10 | 10 | 5 | 192 * | 1 1 0 x3o3o . . o3*c ♦ 5 | 10 | 10 | 5 | * 192 | 0 1 1 -----------------+----+----+-----+-----+---------+--------- x3o3o3o3o . ♦ 6 | 15 | 20 | 15 | 6 0 | 32 * * x3o3o3o . o3*c ♦ 10 | 40 | 80 | 80 | 16 16 | * 12 * x3o3o . o3/2o3*c ♦ 6 | 15 | 20 | 15 | 0 6 | * * 32
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