Acronym | ... |
Name | x3β3β4o (?) |
Circumradius | ... |
Face vector | 192, 672, 592, 128 |
No uniform realisation is possible.
Incidence matrix according to Dynkin symbol
x3β3β4o both( . . . . ) | 192 | 1 1 1 4 | 1 1 2 4 3 | 2 1 3 ----------------+-----+--------------+-------------------+--------- both( x . . . ) | 2 | 96 * * * | 1 1 0 2 0 | 2 0 2 both( . . s4o ) | 2 | * 96 * * | 0 1 0 0 2 | 0 1 2 sefa( x3β . . ) | 2 | * * 96 * | 1 0 0 2 0 | 2 0 1 sefa( . s3s . ) | 2 | * * * 384 | 0 0 1 1 1 | 1 1 1 ----------------+-----+--------------+-------------------+--------- x3β . . ♦ 6 | 3 0 3 0 | 32 * * * * | 2 0 0 both( x 2 s4o ) | 4 | 2 2 0 0 | * 48 * * * | 0 0 2 both( . s3s . ) ♦ 3 | 0 0 0 3 | * * 128 * * | 1 1 0 sefa( x3β3β . ) | 4 | 1 0 1 2 | * * * 192 * | 1 0 1 sefa( . s3s4o ) | 3 | 0 1 0 2 | * * * * 192 | 0 1 1 ----------------+-----+--------------+-------------------+--------- x3β3β . ♦ 24 | 12 0 12 24 | 4 0 8 12 0 | 16 * * both( . s3s4o ) ♦ 12 | 0 6 0 24 | 0 0 8 0 12 | * 16 * sefa( x3β3β4o ) ♦ 6 | 2 2 1 4 | 0 1 0 2 2 | * * 96 starting figure: x3x3x4o
β3β3β *b3x both( . . . . ) | 192 | 1 1 2 2 1 | 1 1 1 1 3 2 2 | 1 1 1 3 -------------------+-----+------------------+-----------------------+---------- both( . . . x ) | 2 | 96 * * * * | 0 0 1 1 0 1 1 | 0 1 1 2 both( s 2 s . ) | 2 | * 96 * * * | 0 0 0 1 2 0 0 | 1 0 0 2 sefa( s3s . . ) | 2 | * * 192 * * | 1 0 0 0 1 1 0 | 1 1 0 1 sefa( . s3s . ) | 2 | * * * 192 * | 0 1 0 0 1 0 1 | 1 0 1 1 sefa( . β . *b3x ) | 2 | * * * * 96 | 0 0 1 0 0 1 1 | 0 1 1 1 -------------------+-----+------------------+-----------------------+---------- both( s3s . . ) ♦ 3 | 0 0 3 0 0 | 64 * * * * * * | 1 1 0 0 both( . s3s . ) ♦ 3 | 0 0 0 3 0 | * 64 * * * * * | 1 0 1 0 . β . *b3x ♦ 6 | 3 0 0 0 3 | * * 32 * * * * | 0 1 1 0 both( s 2 s x ) | 4 | 2 2 0 0 0 | * * * 48 * * * | 0 0 0 2 sefa( s3s3s . ) | 3 | 0 1 1 1 0 | * * * * 192 * * | 1 0 0 1 sefa( β3β . *b3x ) | 4 | 1 0 2 0 1 | * * * * * 96 * | 0 1 0 1 sefa( . β3β *b3x ) | 4 | 1 0 0 2 1 | * * * * * * 96 | 0 0 1 1 -------------------+-----+------------------+-----------------------+---------- both( s3s3s . ) ♦ 12 | 0 6 12 12 0 | 4 4 0 0 12 0 0 | 16 * * * β3β . *b3x ♦ 24 | 12 0 24 0 12 | 8 0 4 0 0 12 0 | * 8 * * . β3β *b3x ♦ 24 | 12 0 0 24 12 | 0 8 4 0 0 0 12 | * * 8 * sefa( β3β3β *b3x ) ♦ 6 | 2 2 2 2 1 | 0 0 0 1 2 1 1 | * * * 96 starting figure: x3x3x *b3x
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