Acronym ...
Name x3β3o4o (?)
Circumradius ...
Face vector 48, 312, 240, 48

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

x3β3o4o

both( . . . . ) | 48 |  1  4   8 |  4  4  8  4 |  4 1  4
----------------+----+-----------+-------------+--------
both( x . . . ) |  2 | 24  *   * |  4  0  0  0 |  4 0  0
sefa( x3β . . ) |  2 |  * 96   * |  1  0  2  0 |  2 0  1
sefa( . β3o . ) |  2 |  *  * 192 |  0  1  1  1 |  1 1  1
----------------+----+-----------+-------------+--------
      x3β . .     6 |  3  3   0 | 32  *  *  * |  2 0  0
      . β3o .     3 |  0  0   3 |  * 64  *  * |  1 1  0
sefa( x3β3o . ) |  4 |  0  2   2 |  *  * 96  * |  1 0  1
sefa( . β3o4o ) |  4 |  0  0   4 |  *  *  * 48 |  0 1  1
----------------+----+-----------+-------------+--------
      x3β3o .    12 |  6 12  12 |  4  4  6  0 | 16 *  *
      . β3o4o     6 |  0  0  24 |  0  8  0  6 |  * 8  *
sefa( x3β3o4o )   8 |  0  4   8 |  0  0  4  2 |  * * 24

starting figure: x3x3o4o

x3β3o *b3o

both( . . .    . ) | 48 |  1  4  4  4 |  4  2  2  4  4  4 | 2 2 1  4
-------------------+----+-------------+-------------------+---------
both( x . .    . ) |  2 | 24  *  *  * |  4  0  0  0  0  0 | 2 2 0  0
sefa( x3β .    . ) |  2 |  * 96  *  * |  1  0  0  1  1  0 | 1 1 0  1
sefa( . β3o    . ) |  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
-------------------+----+-------------+-------------------+---------
      x3β .    .     6 |  3  3  0  0 | 32  *  *  *  *  * | 1 1 0  0
      . β3o    .     3 |  0  0  3  0 |  * 32  *  *  *  * | 1 0 1  0
      . β . *b3o     3 |  0  0  0  3 |  *  * 32  *  *  * | 0 1 1  0
sefa( x3β3o    . ) |  4 |  0  2  2  0 |  *  *  * 48  *  * | 1 0 0  1
sefa( x3β . *b3o ) |  4 |  0  2  0  2 |  *  *  *  * 48  * | 0 1 0  1
sefa( . β3o *b3o ) |  4 |  0  0  2  2 |  *  *  *  *  * 48 | 0 0 1  1
-------------------+----+-------------+-------------------+---------
      x3β3o    .    12 |  6 12 12  0 |  4  4  0  6  0  0 | 8 * *  *
      x3β . *b3o    12 |  6 12  0 12 |  4  0  4  0  6  0 | * 8 *  *
      . β3o *b3o     6 |  0  0 12 12 |  0  4  4  0  0  6 | * * 8  *
sefa( x3β3o *b3o )   8 |  0  4  4  4 |  0  0  0  2  2  2 | * * * 24

starting figure: x3x3ob3o

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