Acronym | ... |
Name | β3x4x3β (?) |
Circumradius | ... |
Face vector | 1152, 2880, 1968, 384 |
No uniform realisation is possible.
Incidence matrix according to Dynkin symbol
β3x4x3β both( . . . . ) | 1152 | 1 1 1 1 1 | 1 1 1 1 2 2 1 | 1 1 1 1 2 -------------------+------+---------------------+-----------------------------+---------------- both( . x . . ) | 2 | 576 * * * * | 1 1 0 0 1 0 1 | 1 1 0 1 1 both( . . x . ) | 2 | * 576 * * * | 1 0 1 1 0 1 0 | 1 0 1 1 1 both( s . . s2*a ) | 2 | * * 576 * * | 0 0 0 0 2 2 0 | 0 1 1 0 2 sefa( β3x . . ) | 2 | * * * 576 * | 0 1 0 1 1 0 0 | 1 1 0 0 1 sefa( . . x3β ) | 2 | * * * * 576 | 0 0 1 0 0 1 1 | 0 0 1 1 1 -------------------+------+---------------------+-----------------------------+---------------- both( . x4x . ) | 8 | 4 4 0 0 0 | 144 * * * * * * | 1 0 0 1 0 β3x . . ♦ 6 | 3 0 0 3 0 | * 192 * * * * * | 1 1 0 0 0 . . x3β ♦ 6 | 0 3 0 0 3 | * * 192 * * * * | 0 0 1 1 0 sefa( β3x4x . ) | 8 | 0 4 0 4 0 | * * * 144 * * * | 1 0 0 0 1 sefa( β3x . β2*a ) | 4 | 1 0 2 1 0 | * * * * 576 * * | 0 1 0 0 1 sefa( β . x3β2*a ) | 4 | 0 1 2 0 1 | * * * * * 576 * | 0 0 1 0 1 sefa( . x4x3β ) | 8 | 4 0 0 0 4 | * * * * * * 144 | 0 0 0 1 1 -------------------+------+---------------------+-----------------------------+---------------- β3x4x . ♦ 48 | 24 24 0 24 0 | 6 8 0 6 0 0 0 | 24 * * * * β3x . β2*a ♦ 12 | 6 0 6 6 0 | 0 2 0 0 6 0 0 | * 96 * * * β . x3β2*a ♦ 12 | 0 6 6 0 6 | 0 0 2 0 0 6 0 | * * 96 * * . x4x3β ♦ 48 | 24 24 0 0 24 | 6 0 8 0 0 0 6 | * * * 24 * sefa( β3x4x3β ) ♦ 16 | 4 4 8 4 4 | 0 0 0 1 4 4 1 | * * * * 144
or both( . . . . ) | 1152 | 2 1 2 | 1 2 2 4 | 2 2 2 ----------------------+------+---------------+------------------+----------- both( . x . . ) & | 2 | 1152 * * | 1 1 1 1 | 2 1 1 both( s . . s2*a ) | 2 | * 576 * | 0 0 0 4 | 0 2 2 sefa( β3x . . ) & | 2 | * * 1152 | 0 1 1 1 | 1 1 1 ----------------------+------+---------------+------------------+----------- both( . x4x . ) | 8 | 8 0 0 | 144 * * * | 2 0 0 β3x . . & ♦ 6 | 3 0 3 | * 384 * * | 1 1 0 sefa( β3x4x . ) & | 8 | 4 0 4 | * * 288 * | 1 0 1 sefa( β3x . β2*a ) & | 4 | 1 2 1 | * * * 1152 | 0 1 1 ----------------------+------+---------------+------------------+----------- β3x4x . & ♦ 48 | 48 0 24 | 6 8 6 0 | 48 * * β3x . β2*a & ♦ 12 | 6 6 6 | 0 2 0 6 | * 192 * sefa( β3x4x3β ) ♦ 16 | 8 8 8 | 0 0 2 8 | * * 144 starting figure: x3x4x3x
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