Acronym | ... |
Name | x3β4o3o (?) |
Circumradius | ... |
Face vector | 192, 672, 576, 168 |
No uniform realisation is possible.
Incidence matrix according to Dynkin symbol
x3β4o3o both( . . . . ) | 192 | 1 3 3 | 3 6 3 | 3 1 3 ----------------+-----+------------+------------+--------- both( x . . . ) | 2 | 96 * * | 3 0 0 | 3 0 0 both( . s4o . ) | 2 | * 288 * | 0 2 2 | 1 1 2 sefa( x3β . . ) | 2 | * * 288 | 1 2 0 | 2 0 1 ----------------+-----+------------+------------+--------- x3β . . ♦ 6 | 3 0 3 | 96 * * | 2 0 0 sefa( x3β4o . ) | 4 | 0 2 2 | * 288 * | 1 0 1 sefa( . s4o3o ) | 3 | 0 3 0 | * * 192 | 0 1 1 ----------------+-----+------------+------------+--------- x3β4o . ♦ 24 | 12 12 24 | 8 12 0 | 24 * * both( . s4o3o ) ♦ 4 | 0 6 0 | 0 0 4 | * 48 * sefa( x3β4o3o ) ♦ 6 | 0 6 3 | 0 3 2 | * * 96 starting figure: x3x4o3o
β3x3β4o both( . . . . ) | 192 | 1 2 1 1 2 | 1 2 4 3 2 | 2 1 1 3 ----------------+-----+------------------+------------------+----------- both( . x . . ) | 2 | 96 * * * * | 1 2 0 0 0 | 2 0 1 0 both( s 2 s . ) | 2 | * 192 * * * | 0 0 2 2 0 | 1 1 0 2 both( . . s4o ) | 2 | * * 96 * * | 0 0 0 2 2 | 0 1 1 2 sefa( β3x . . ) | 2 | * * * 96 * | 1 0 2 0 0 | 2 0 0 1 sefa( . x3β . ) | 2 | * * * * 192 | 0 1 1 0 1 | 1 0 1 1 ----------------+-----+------------------+------------------+----------- β3x . . ♦ 6 | 3 0 0 3 0 | 32 * * * * | 2 0 0 0 . x3β . ♦ 6 | 3 0 0 0 3 | * 64 * * * | 1 0 1 0 sefa( β3x3β . ) | 4 | 0 2 0 1 1 | * * 192 * * | 1 0 0 1 sefa( s 2 s4o ) | 3 | 0 2 1 0 0 | * * * 192 * | 0 1 0 1 sefa( . x3β4o ) | 4 | 0 0 2 0 2 | * * * * 96 | 0 0 1 1 ----------------+-----+------------------+------------------+----------- β3x3β . ♦ 24 | 12 12 0 12 12 | 4 4 12 0 0 | 16 * * * both( s 2 s4o ) ♦ 4 | 0 4 2 0 0 | 0 0 0 4 0 | * 48 * * . x3β4o ♦ 24 | 12 0 12 0 24 | 0 8 0 0 12 | * * 8 * sefa( β3x3β4o ) ♦ 6 | 0 4 2 1 2 | 0 0 2 2 1 | * * * 96 starting figure: x3x3x4o
β3x3β *b3β both( . . . . ) | 192 | 1 1 1 1 1 1 1 | 1 1 1 2 2 3 2 | 1 1 1 1 3 -------------------+-----+----------------------+-----------------------+------------ both( . x . . ) | 2 | 96 * * * * * * | 1 1 1 0 0 0 0 | 1 1 0 1 0 both( s 2 s . ) | 2 | * 96 * * * * * | 0 0 0 2 0 2 0 | 1 0 1 0 2 both( s . . 2 s ) | 2 | * * 96 * * * * | 0 0 0 0 2 2 0 | 0 1 1 0 2 both( . . s 2 s ) | 2 | * * * 96 * * * | 0 0 0 0 0 2 2 | 0 0 1 1 2 sefa( β3x . . ) | 2 | * * * * 96 * * | 1 0 0 1 1 0 0 | 1 1 0 0 1 sefa( . x3β . ) | 2 | * * * * * 96 * | 0 1 0 1 0 0 1 | 1 0 0 1 1 sefa( . x . *b3β ) | 2 | * * * * * * 96 | 0 0 1 0 1 0 1 | 0 1 0 1 1 -------------------+-----+----------------------+-----------------------+------------ β3x . . ♦ 6 | 3 0 0 0 3 0 0 | 32 * * * * * * | 1 1 0 0 0 . x3β . ♦ 6 | 3 0 0 0 0 3 0 | * 32 * * * * * | 1 0 0 1 0 . x . *b3β ♦ 6 | 3 0 0 0 0 0 3 | * * 32 * * * * | 0 1 0 1 0 sefa( β3x3β . ) | 4 | 0 2 0 0 1 1 0 | * * * 96 * * * | 1 0 0 0 1 sefa( β3x . *b3β ) | 4 | 0 0 2 0 1 0 1 | * * * * 96 * * | 0 1 0 0 1 sefa( s 2 s 2 s ) | 3 | 0 1 1 1 0 0 0 | * * * * * 192 * | 0 0 1 0 1 sefa( . x3β *b3β ) | 4 | 0 0 0 2 0 1 1 | * * * * * * 96 | 0 0 0 1 1 -------------------+-----+----------------------+-----------------------+------------ β3x3β . ♦ 24 | 12 12 0 0 12 12 0 | 4 4 0 12 0 0 0 | 8 * * * * β3x . *b3β ♦ 24 | 12 0 12 0 12 0 12 | 4 0 4 0 12 0 0 | * 8 * * * both( s 2 s 2 s ) ♦ 4 | 0 2 2 2 0 0 0 | 0 0 0 0 0 4 0 | * * 48 * * . x3β *b3β ♦ 24 | 12 0 0 12 0 12 12 | 0 4 4 0 0 0 12 | * * * 8 * sefa( β3x3β *b3β ) ♦ 6 | 0 2 2 2 1 1 1 | 0 0 0 1 1 2 1 | * * * * 96 starting figure: x3x3x *b3x
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