Acronym ...
Name β3o4o3β (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

β3o4o3β

both( . . . .    ) | 144 |   8   8   8 |   4   4   4  12  12   4 |  1  4  4  1   8
-------------------+-----+-------------+-------------------------+----------------
both( s . . s2*a ) |   2 | 576   *   * |   0   0   0   2   2   0 |  0  1  1  0   2
sefa( β3o . .    ) |   2 |   * 576   * |   1   0   1   1   0   0 |  1  1  0  0   1
sefa( . . o3β    ) |   2 |   *   * 576 |   0   1   0   0   1   1 |  0  0  1  1   1
-------------------+-----+-------------+-------------------------+----------------
      β3o . .         3 |   0   3   0 | 192   *   *   *   *   * |  1  1  0  0   0
      . . o3β         3 |   0   0   3 |   * 192   *   *   *   * |  0  0  1  1   0
sefa( β3o4o .    ) |   4 |   0   4   0 |   *   * 144   *   *   * |  1  0  0  0   1
sefa( β3o . β2*a ) |   3 |   2   1   0 |   *   *   * 576   *   * |  0  1  0  0   1
sefa( β . o3β2*a ) |   3 |   2   0   1 |   *   *   *   * 576   * |  0  0  1  0   1
sefa( . o4o3β    ) |   4 |   0   0   4 |   *   *   *   *   * 144 |  0  0  0  1   1
-------------------+-----+-------------+-------------------------+----------------
      β3o4o .         6 |   0  24   0 |   8   0   6   0   0   0 | 24  *  *  *   *
      β3o . β2*a      6 |   6   6   0 |   2   0   0   6   0   0 |  * 96  *  *   *
      β . o3β2*a      6 |   6   0   6 |   0   2   0   0   6   0 |  *  * 96  *   *
      . o4o3β         6 |   0   0  24 |   0   8   0   0   0   6 |  *  *  * 24   *
sefa( β3o4o3β    )    8 |   8   4   4 |   0   0   1   4   4   1 |  *  *  *  * 144
or
both( . . . .    )   | 144 |   8   16 |   8   8   24 |  2   8   8
---------------------+-----+----------+--------------+-----------
both( s . . s2*a )   |   2 | 576    * |   0   0    4 |  0   2   2
sefa( β3o . .    ) & |   2 |   * 1152 |   1   1    1 |  1   1   1
---------------------+-----+----------+--------------+-----------
      β3o . .      &    3 |   0    3 | 384   *    * |  1   1   0
sefa( β3o4o .    ) & |   4 |   0    4 |   * 288    * |  1   0   1
sefa( β3o . β2*a ) & |   3 |   2    1 |   *   * 1152 |  0   1   1
---------------------+-----+----------+--------------+-----------
      β3o4o .      &    6 |   0   24 |   8   6    0 | 48   *   *
      β3o . β2*a   &    6 |   6    6 |   2   0    6 |  * 192   *
sefa( β3o4o3β    )      8 |   8    8 |   0   2    8 |  *   * 144

starting figure: x3o4o3x

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