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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