Acronym | ... |
Name | 2howoh (?) |
Circumradius | sqrt(3) = 1.732051 |
Coordinates | (sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign |
General of army | sart |
Colonel of regiment | sart |
Confer |
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This Grünbaumian polyteron indeed has all elements in coincident pairs, only thoee, which are Grünbaumian themselves, provide the cross-linkage. Accordingly the vertex figure is the same as for howoh.
Incidence matrix according to Dynkin symbol
x3o3x3o3/2x3*b . . . . . | 480 ♦ 2 4 4 | 1 4 4 2 2 2 4 2 | 2 2 2 4 2 1 2 1 2 | 1 2 1 2 1 ---------------+-----+-------------+---------------------------------+-------------------------------+--------------- x . . . . | 2 | 480 * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . . x . . | 2 | * 960 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * 960 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ---------------+-----+-------------+---------------------------------+-------------------------------+--------------- x3o . . . | 3 | 3 0 0 | 160 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 2 0 | * 480 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 2 | * * 480 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . o3x . . | 3 | 0 3 0 | * * * 320 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . o . . x3*b | 3 | 0 0 3 | * * * * 320 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 3 0 | * * * * * 320 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 2 2 | * * * * * * 480 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o3/2x | 3 | 0 0 3 | * * * * * * * 320 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+-----+-------------+---------------------------------+-------------------------------+--------------- x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 x3o . . x3*b ♦ 12 | 12 0 12 | 4 0 6 0 4 0 0 0 | * 80 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 6 0 | 0 3 0 0 0 2 0 0 | * * 160 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 0 0 2 0 | * * * 240 * * * * * | 0 1 0 1 0 x . . o3/2x ♦ 6 | 3 0 6 | 0 0 3 0 0 0 0 2 | * * * * 160 * * * * | 0 0 1 1 0 . o3x3o . ♦ 6 | 0 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 80 * * * | 1 0 0 0 1 . o3x . x3*b ♦ 12 | 0 12 12 | 0 0 0 4 4 0 6 0 | * * * * * * 80 * * | 0 1 0 0 1 . o . o3/2x3*b ♦ 6 | 0 0 12 | 0 0 0 0 4 0 0 4 | * * * * * * * 80 * | 0 0 1 0 1 . . x3o3/2x ♦ 12 | 0 12 12 | 0 0 0 0 0 4 6 4 | * * * * * * * * 80 | 0 0 0 1 1 ---------------+-----+-------------+---------------------------------+-------------------------------+--------------- x3o3x3o . ♦ 30 | 30 60 0 | 10 30 0 20 0 20 0 0 | 5 0 10 0 0 5 0 0 0 | 16 * * * * x3o3x . x3*b ♦ 96 | 96 96 96 | 32 48 48 32 32 0 48 0 | 8 8 0 24 0 0 8 0 0 | * 10 * * * x3o . o3/2x3*b ♦ 30 | 30 0 60 | 10 0 30 0 20 0 0 20 | 0 5 0 0 10 0 0 5 0 | * * 16 * * x . x3o3/2x ♦ 24 | 12 24 24 | 0 12 12 0 0 8 12 8 | 0 0 4 6 4 0 0 0 2 | * * * 40 * . o3x3o3/2x3*b ♦ 48 | 0 96 96 | 0 0 0 32 32 32 48 32 | 0 0 0 0 0 8 8 8 8 | * * * * 10
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