Acronym | ... |
Name | β3o4o3β (?) |
Circumradius | ... |
Face vector | 144, 1728, 1824, 384 |
No uniform realisation is possible.
Incidence matrix according to Dynkin symbol
β3o4o3β both( . . . . ) | 144 | 8 8 8 | 4 4 4 12 12 4 | 1 4 4 1 8 -------------------+-----+-------------+-------------------------+---------------- both( s . . s2*a ) | 2 | 576 * * | 0 0 0 2 2 0 | 0 1 1 0 2 sefa( β3o . . ) | 2 | * 576 * | 1 0 1 1 0 0 | 1 1 0 0 1 sefa( . . o3β ) | 2 | * * 576 | 0 1 0 0 1 1 | 0 0 1 1 1 -------------------+-----+-------------+-------------------------+---------------- β3o . . ♦ 3 | 0 3 0 | 192 * * * * * | 1 1 0 0 0 . . o3β ♦ 3 | 0 0 3 | * 192 * * * * | 0 0 1 1 0 sefa( β3o4o . ) | 4 | 0 4 0 | * * 144 * * * | 1 0 0 0 1 sefa( β3o . β2*a ) | 3 | 2 1 0 | * * * 576 * * | 0 1 0 0 1 sefa( β . o3β2*a ) | 3 | 2 0 1 | * * * * 576 * | 0 0 1 0 1 sefa( . o4o3β ) | 4 | 0 0 4 | * * * * * 144 | 0 0 0 1 1 -------------------+-----+-------------+-------------------------+---------------- β3o4o . ♦ 6 | 0 24 0 | 8 0 6 0 0 0 | 24 * * * * β3o . β2*a ♦ 6 | 6 6 0 | 2 0 0 6 0 0 | * 96 * * * β . o3β2*a ♦ 6 | 6 0 6 | 0 2 0 0 6 0 | * * 96 * * . o4o3β ♦ 6 | 0 0 24 | 0 8 0 0 0 6 | * * * 24 * sefa( β3o4o3β ) ♦ 8 | 8 4 4 | 0 0 1 4 4 1 | * * * * 144
or both( . . . . ) | 144 | 8 16 | 8 8 24 | 2 8 8 ---------------------+-----+----------+--------------+----------- both( s . . s2*a ) | 2 | 576 * | 0 0 4 | 0 2 2 sefa( β3o . . ) & | 2 | * 1152 | 1 1 1 | 1 1 1 ---------------------+-----+----------+--------------+----------- β3o . . & ♦ 3 | 0 3 | 384 * * | 1 1 0 sefa( β3o4o . ) & | 4 | 0 4 | * 288 * | 1 0 1 sefa( β3o . β2*a ) & | 3 | 2 1 | * * 1152 | 0 1 1 ---------------------+-----+----------+--------------+----------- β3o4o . & ♦ 6 | 0 24 | 8 6 0 | 48 * * β3o . β2*a & ♦ 6 | 6 6 | 2 0 6 | * 192 * sefa( β3o4o3β ) ♦ 8 | 8 8 | 0 2 8 | * * 144 starting figure: x3o4o3x
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