Acronym ...
Name β3β3x *b3o (?)
Circumradius ...
Face vector 96, 432, 368, 72

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

β3β3x *b3o

both( . . .    . ) | 96 |  1   4  2  2 |  2  2  1  4  3  2 | 2 1 1  3
-------------------+----+--------------+-------------------+---------
both( . . x    . ) |  2 | 48   *  *  * |  0  2  0  2  0  0 | 2 0 1  1
sefa( s3s .    . ) |  2 |  * 192  *  * |  1  0  0  1  1  0 | 1 1 0  1
sefa( . β3x    . ) |  2 |  *   * 96  * |  0  1  0  1  0  1 | 1 0 1  1
sefa( . β . *b3o ) |  2 |  *   *  * 96 |  0  0  1  0  1  1 | 0 1 1  1
-------------------+----+--------------+-------------------+---------
both( s3s .    . )   3 |  0   3  0  0 | 64  *  *  *  *  * | 1 1 0  0
      . β3x    .     6 |  3   0  3  0 |  * 32  *  *  *  * | 1 0 1  0
      . β . *b3o     3 |  0   0  0  3 |  *  * 32  *  *  * | 0 1 1  0
sefa( β3β3x    . ) |  4 |  1   2  1  0 |  *  *  * 96  *  * | 1 0 0  1
sefa( β3β . *b3o ) |  3 |  0   2  0  1 |  *  *  *  * 96  * | 0 1 0  1
sefa( . β3x *b3o ) |  4 |  0   0  2  2 |  *  *  *  *  * 48 | 0 0 1  1
-------------------+----+--------------+-------------------+---------
      β3β3x    .    24 | 12  24 12  0 |  8  4  0 12  0  0 | 8 * *  *
      β3β . *b3o    12 |  0  24  0 12 |  8  0  4  0 12  0 | * 8 *  *
      . β3x *b3o    12 |  6   0 12 12 |  0  4  4  0  0  6 | * * 8  *
sefa( β3β3x *b3o )   6 |  1   4  2  2 |  0  0  0  2  2  1 | * * * 48

starting figure: x3x3x *b3o

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