Acronym ...
Name x3β4o3o (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

x3β4o3o

both( . . . . ) | 192 |  1   3   3 |  3   6   3 |  3  1  3
----------------+-----+------------+------------+---------
both( x . . . ) |   2 | 96   *   * |  3   0   0 |  3  0  0
both( . s4o . ) |   2 |  * 288   * |  0   2   2 |  1  1  2
sefa( x3β . . ) |   2 |  *   * 288 |  1   2   0 |  2  0  1
----------------+-----+------------+------------+---------
      x3β . .      6 |  3   0   3 | 96   *   * |  2  0  0
sefa( x3β4o . ) |   4 |  0   2   2 |  * 288   * |  1  0  1
sefa( . s4o3o ) |   3 |  0   3   0 |  *   * 192 |  0  1  1
----------------+-----+------------+------------+---------
      x3β4o .     24 | 12  12  24 |  8  12   0 | 24  *  *
both( . s4o3o )    4 |  0   6   0 |  0   0   4 |  * 48  *
sefa( x3β4o3o )    6 |  0   6   3 |  0   3   2 |  *  * 96

starting figure: x3x4o3o

β3x3β4o

both( . . . . ) | 192 |  1   2  1  1   2 |  1  2   4   3  2 |  2  1 1  3
----------------+-----+------------------+------------------+-----------
both( . x . . ) |   2 | 96   *  *  *   * |  1  2   0   0  0 |  2  0 1  0
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( β3x . . ) |   2 |  *   *  * 96   * |  1  0   2   0  0 |  2  0 0  1
sefa( . x3β . ) |   2 |  *   *  *  * 192 |  0  1   1   0  1 |  1  0 1  1
----------------+-----+------------------+------------------+-----------
      β3x . .      6 |  3   0  0  3   0 | 32  *   *   *  * |  2  0 0  0
      . x3β .      6 |  3   0  0  0   3 |  * 64   *   *  * |  1  0 1  0
sefa( β3x3β . ) |   4 |  0   2  0  1   1 |  *  * 192   *  * |  1  0 0  1
sefa( s 2 s4o ) |   3 |  0   2  1  0   0 |  *  *   * 192  * |  0  1 0  1
sefa( . x3β4o ) |   4 |  0   0  2  0   2 |  *  *   *   * 96 |  0  0 1  1
----------------+-----+------------------+------------------+-----------
      β3x3β .     24 | 12  12  0 12  12 |  4  4  12   0  0 | 16  * *  *
both( s 2 s4o )    4 |  0   4  2  0   0 |  0  0   0   4  0 |  * 48 *  *
      . x3β4o     24 | 12   0 12  0  24 |  0  8   0   0 12 |  *  * 8  *
sefa( β3x3β4o )    6 |  0   4  2  1   2 |  0  0   2   2  1 |  *  * * 96

starting figure: x3x3x4o

β3x3β *b3β

both( . . .    . ) | 192 |  1  1  1  1  1  1  1 |  1  1  1  2  2   3  2 | 1 1  1 1  3
-------------------+-----+----------------------+-----------------------+------------
both( . x .    . ) |   2 | 96  *  *  *  *  *  * |  1  1  1  0  0   0  0 | 1 1  0 1  0
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( β3x .    . ) |   2 |  *  *  *  * 96  *  * |  1  0  0  1  1   0  0 | 1 1  0 0  1
sefa( . x3β    . ) |   2 |  *  *  *  *  * 96  * |  0  1  0  1  0   0  1 | 1 0  0 1  1
sefa( . x . *b3β ) |   2 |  *  *  *  *  *  * 96 |  0  0  1  0  1   0  1 | 0 1  0 1  1
-------------------+-----+----------------------+-----------------------+------------
      β3x .    .      6 |  3  0  0  0  3  0  0 | 32  *  *  *  *   *  * | 1 1  0 0  0
      . x3β    .      6 |  3  0  0  0  0  3  0 |  * 32  *  *  *   *  * | 1 0  0 1  0
      . x . *b3β      6 |  3  0  0  0  0  0  3 |  *  * 32  *  *   *  * | 0 1  0 1  0
sefa( β3x3β    . ) |   4 |  0  2  0  0  1  1  0 |  *  *  * 96  *   *  * | 1 0  0 0  1
sefa( β3x . *b3β ) |   4 |  0  0  2  0  1  0  1 |  *  *  *  * 96   *  * | 0 1  0 0  1
sefa( s 2 s  2 s ) |   3 |  0  1  1  1  0  0  0 |  *  *  *  *  * 192  * | 0 0  1 0  1
sefa( . x3β *b3β ) |   4 |  0  0  0  2  0  1  1 |  *  *  *  *  *   * 96 | 0 0  0 1  1
-------------------+-----+----------------------+-----------------------+------------
      β3x3β    .     24 | 12 12  0  0 12 12  0 |  4  4  0 12  0   0  0 | 8 *  * *  *
      β3x . *b3β     24 | 12  0 12  0 12  0 12 |  4  0  4  0 12   0  0 | * 8  * *  *
both( s 2 s  2 s )    4 |  0  2  2  2  0  0  0 |  0  0  0  0  0   4  0 | * * 48 *  *
      . x3β *b3β     24 | 12  0  0 12  0 12 12 |  0  4  4  0  0   0 12 | * *  * 8  *
sefa( β3x3β *b3β )    6 |  0  2  2  2  1  1  1 |  0  0  0  1  1   2  1 | * *  * * 96

starting figure: x3x3x *b3x

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