Acronym | ... |
Name | o3β3x4o (?) |
Circumradius | ... |
Face vector | 96, 384, 264, 48 |
No uniform realisation is possible.
Incidence matrix according to Dynkin symbol
o3β3x4o both( . . . . ) | 96 | 2 2 4 | 1 1 4 4 2 | 2 2 2 ----------------+----+-----------+----------------+-------- both( . . x . ) | 2 | 96 * * | 1 0 2 0 0 | 1 2 0 sefa( o3β . . ) | 2 | * 96 * | 0 1 0 2 0 | 2 0 1 sefa( . β3x . ) | 2 | * * 192 | 0 0 1 1 1 | 1 1 1 ----------------+----+-----------+----------------+-------- both( . . x4o ) | 4 | 4 0 0 | 24 * * * * | 0 2 0 o3β . . ♦ 3 | 0 3 0 | * 32 * * * | 2 0 0 . β3x . ♦ 6 | 3 0 3 | * * 64 * * | 1 1 0 sefa( o3β3x . ) | 4 | 0 2 2 | * * * 96 * | 1 0 1 sefa( . β3x4o ) | 4 | 0 0 4 | * * * * 48 | 0 1 1 ----------------+----+-----------+----------------+-------- o3β3x . ♦ 12 | 6 12 12 | 0 4 4 6 0 | 16 * * . β3x4o ♦ 24 | 24 0 24 | 6 0 8 0 6 | * 8 * sefa( o3β3x4o ) ♦ 8 | 0 4 8 | 0 0 0 4 2 | * * 24 starting figure: o3x3x4o
x3β3x *b3o both( . . . . ) | 96 | 1 1 2 2 2 | 1 2 2 1 2 2 2 | 2 1 1 2 -------------------+----+----------------+----------------------+--------- both( x . . . ) | 2 | 48 * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 both( . . x . ) | 2 | * 48 * * * | 1 0 2 0 0 0 0 | 2 0 1 0 sefa( x3β . . ) | 2 | * * 96 * * | 0 1 0 0 1 1 0 | 1 1 0 1 sefa( . β3x . ) | 2 | * * * 96 * | 0 0 1 0 1 0 1 | 1 0 1 1 sefa( . β . *b3o ) | 2 | * * * * 96 | 0 0 0 1 0 1 1 | 0 1 1 1 -------------------+----+----------------+----------------------+--------- both( x . x . ) | 4 | 2 2 0 0 0 | 24 * * * * * * | 2 0 0 0 x3β . . ♦ 6 | 3 0 3 0 0 | * 32 * * * * * | 1 1 0 0 . β3x . ♦ 6 | 0 3 0 3 0 | * * 32 * * * * | 1 0 1 0 . β . *b3o ♦ 3 | 0 0 0 0 3 | * * * 32 * * * | 0 1 1 0 sefa( x3β3x . ) | 4 | 0 0 2 2 0 | * * * * 48 * * | 1 0 0 1 sefa( x3β . *b3o ) | 4 | 0 0 2 0 2 | * * * * * 48 * | 0 1 0 1 sefa( . β3x *b3o ) | 4 | 0 0 0 2 2 | * * * * * * 48 | 0 0 1 1 -------------------+----+----------------+----------------------+--------- x3β3x . ♦ 24 | 12 12 12 12 0 | 6 4 4 0 6 0 0 | 8 * * * x3β . *b3o ♦ 12 | 6 0 12 0 12 | 0 4 0 4 0 6 0 | * 8 * * . β3x *b3o ♦ 12 | 0 6 0 12 12 | 0 0 4 4 0 0 6 | * * 8 * sefa( x3β3x *b3o ) ♦ 8 | 0 0 4 4 4 | 0 0 0 0 2 2 2 | * * * 24 starting figure: x3x3x *b3o
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