Acronym | ... |
Name | o3x3β4o (?) |
Circumradius | ... |
Face vector | 96, 336, 256, 56 |
No uniform realisation is possible. It occurs as faceting of the tesseractihexadecachoron (tah).
Incidence matrix according to Dynkin symbol
o3x3β4o both( . . . . ) | 96 | 2 1 4 | 1 4 2 4 | 2 2 2 ----------------+----+-----------+-------------+-------- both( . x . . ) | 2 | 96 * * | 1 2 0 0 | 2 1 0 both( . . s4o ) | 2 | * 48 * | 0 0 0 4 | 0 2 2 sefa( . x3β . ) | 2 | * * 192 | 0 1 1 1 | 1 1 1 ----------------+----+-----------+-------------+-------- both( o3x . . ) | 3 | 3 0 0 | 32 * * * | 2 0 0 . x3β . ♦ 6 | 3 0 3 | * 64 * * | 1 1 0 sefa( o3x3β . ) | 3 | 0 0 3 | * * 64 * | 1 0 1 sefa( . x3β4o ) | 4 | 0 2 2 | * * * 96 | 0 1 1 ----------------+----+-----------+-------------+-------- o3x3β . ♦ 12 | 12 0 12 | 4 4 4 0 | 16 * * . x3β4o ♦ 24 | 12 12 24 | 0 8 0 12 | * 8 * sefa( o3x3β4o ) ♦ 6 | 0 3 6 | 0 0 2 3 | * * 32 starting figure: o3x3x4o
β3x3β *b3o both( . . . . ) | 96 | 2 1 2 2 | 1 2 2 4 1 1 | 2 1 1 2 -------------------+----+-------------+-------------------+--------- both( . x . . ) | 2 | 96 * * * | 1 1 1 0 0 0 | 1 1 1 0 both( s 2 s . ) | 2 | * 48 * * | 0 0 0 4 0 0 | 2 0 0 2 sefa( β3x . . ) | 2 | * * 96 * | 0 1 0 1 1 0 | 1 1 0 1 sefa( . x3β . ) | 2 | * * * 96 | 0 0 1 1 0 1 | 1 0 1 1 -------------------+----+-------------+-------------------+--------- both( . x . *b3o ) | 3 | 3 0 0 0 | 32 * * * * * | 0 1 1 0 β3x . . ♦ 6 | 3 0 3 0 | * 32 * * * * | 1 1 0 0 . x3β . ♦ 6 | 3 0 0 3 | * * 32 * * * | 1 0 1 0 sefa( β3x3β . ) | 4 | 0 2 1 1 | * * * 96 * * | 1 0 0 1 sefa( β3x . *b3o ) | 3 | 0 0 3 0 | * * * * 32 * | 0 1 0 1 sefa( . x3β *b3o ) | 3 | 0 0 0 3 | * * * * * 32 | 0 0 1 1 -------------------+----+-------------+-------------------+--------- β3x3β . ♦ 24 | 12 12 12 12 | 0 4 4 12 0 0 | 8 * * * β3x . *b3o ♦ 12 | 12 0 12 0 | 4 4 0 0 4 0 | * 8 * * . x3β *b3o ♦ 12 | 12 0 0 12 | 4 0 4 0 0 4 | * * 8 * sefa( β3x3β *b3o ) ♦ 6 | 0 3 3 3 | 0 0 0 3 1 1 | * * * 32 starting figure: x3x3x *b3o
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