Acronym ...
Name o3β4o3o (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

o3β4o3o

both( . . . . ) | 96 |   6   6 |  3  12   6 |  3  2  6
----------------+----+---------+------------+---------
both( . s4o . ) |  2 | 288   * |  0   2   2 |  1  1  2
sefa( o3β . . ) |  2 |   * 288 |  1   2   0 |  2  0  1
----------------+----+---------+------------+---------
      o3β . .     3 |   0   3 | 96   *   * |  2  0  0
sefa( o3β4o . ) |  4 |   2   2 |  * 288   * |  1  0  1
sefa( . s4o3o ) |  3 |   3   0 |  *   * 192 |  0  1  1
----------------+----+---------+------------+---------
      o3β4o .    12 |  12  24 |  8  12   0 | 24  *  *
both( . s4o3o )   4 |   6   0 |  0   0   4 |  * 48  *
sefa( o3β4o3o )   6 |   6   3 |  0   3   2 |  *  * 96

starting figure: o3x4o3o

β3o3β4o

both( . . . . ) | 96 |   4  2  2   4 |  1  2   8   6  4 |  2  2 1  6
----------------+----+---------------+------------------+-----------
both( s 2 s . ) |  2 | 192  *  *   * |  0  0   2   2  0 |  1  1 0  2
both( . . s4o ) |  2 |   * 96  *   * |  0  0   0   2  2 |  0  1 1  2
sefa( β3o . . ) |  2 |   *  * 96   * |  1  0   2   0  0 |  2  0 0  1
sefa( . o3β . ) |  2 |   *  *  * 192 |  0  1   1   0  1 |  1  0 1  1
----------------+----+---------------+------------------+-----------
      β3o . .     3 |   0  0  3   0 | 32  *   *   *  * |  2  0 0  0
      . o3β .     3 |   0  0  0   3 |  * 64   *   *  * |  1  0 1  0
sefa( β3o3β . ) |  4 |   2  0  1   1 |  *  * 192   *  * |  1  0 0  1
sefa( s 2 s4o ) |  3 |   2  1  0   0 |  *  *   * 192  * |  0  1 0  1
sefa( . o3β4o ) |  4 |   0  2  0   2 |  *  *   *   * 96 |  0  0 1  1
----------------+----+---------------+------------------+-----------
      β3o3β .    12 |  12  0 12  12 |  4  4  12   0  0 | 16  * *  *
both( s 2 s4o )   4 |   4  2  0   0 |  0  0   0   4  0 |  * 48 *  *
      . o3β4o    12 |   0 12  0  24 |  0  8   0   0 12 |  *  * 8  *
sefa( β3o3β4o )   6 |   4  2  1   2 |  0  0   2   2  1 |  *  * * 96

starting figure: x3o3x4o

β3o3β *b3β

both( . . .    . ) | 96 |  2  2  2  2  2  2 |  1  1  1  4  4   6  4 | 1 1  2 1  6
-------------------+----+-------------------+-----------------------+------------
both( s 2 s    . ) |  2 | 96  *  *  *  *  * |  0  0  0  2  0   2  0 | 1 0  1 0  2
both( s . .  2 s ) |  2 |  * 96  *  *  *  * |  0  0  0  0  2   2  0 | 0 1  1 0  2
both( . . s  2 s ) |  2 |  *  * 96  *  *  * |  0  0  0  0  0   2  2 | 0 0  1 1  2
sefa( β3o .    . ) |  2 |  *  *  * 96  *  * |  1  0  0  1  1   0  0 | 1 1  0 0  1
sefa( . o3β    . ) |  2 |  *  *  *  * 96  * |  0  1  0  1  0   0  1 | 1 0  0 1  1
sefa( . o . *b3β ) |  2 |  *  *  *  *  * 96 |  0  0  1  0  1   0  1 | 0 1  0 1  1
-------------------+----+-------------------+-----------------------+------------
      β3o .    .     3 |  0  0  0  3  0  0 | 32  *  *  *  *   *  * | 1 1  0 0  0
      . o3β    .     3 |  0  0  0  0  3  0 |  * 32  *  *  *   *  * | 1 0  0 1  0
      . o . *b3β     3 |  0  0  0  0  0  3 |  *  * 32  *  *   *  * | 0 1  0 1  0
sefa( β3o3β    . ) |  4 |  2  0  0  1  1  0 |  *  *  * 96  *   *  * | 1 0  0 0  1
sefa( β3o . *b3β ) |  4 |  0  2  0  1  0  1 |  *  *  *  * 96   *  * | 0 1  0 0  1
sefa( s 2 s  2 s ) |  3 |  1  1  1  0  0  0 |  *  *  *  *  * 192  * | 0 0  1 0  1
sefa( . o3β *b3β ) |  4 |  0  0  2  0  1  1 |  *  *  *  *  *   * 96 | 0 0  0 1  1
-------------------+----+-------------------+-----------------------+------------
      β3o3β    .    12 | 12  0  0 12 12  0 |  4  4  0 12  0   0  0 | 8 *  * *  *
      β3o . *b3β    12 |  0 12  0 12  0 12 |  4  0  4  0 12   0  0 | * 8  * *  *
both( s 2 s  2 s )   4 |  2  2  2  0  0  0 |  0  0  0  0  0   4  0 | * * 48 *  *
      . o3β *b3β    12 |  0  0 12  0 12 12 |  0  4  4  0  0   0 12 | * *  * 8  *
sefa( β3o3β *b3β )   6 |  2  2  2  1  1  1 |  0  0  0  1  1   2  1 | * *  * * 96

starting figure: x3o3x *b3x

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