Acronym ...
Name x3β3β4o (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

x3β3β4o

both( . . . . ) | 192 |  1  1  1   4 |  1  1   2   4   3 |  2  1  3
----------------+-----+--------------+-------------------+---------
both( x . . . ) |   2 | 96  *  *   * |  1  1   0   2   0 |  2  0  2
both( . . s4o ) |   2 |  * 96  *   * |  0  1   0   0   2 |  0  1  2
sefa( x3β . . ) |   2 |  *  * 96   * |  1  0   0   2   0 |  2  0  1
sefa( . s3s . ) |   2 |  *  *  * 384 |  0  0   1   1   1 |  1  1  1
----------------+-----+--------------+-------------------+---------
      x3β . .      6 |  3  0  3   0 | 32  *   *   *   * |  2  0  0
both( x 2 s4o ) |   4 |  2  2  0   0 |  * 48   *   *   * |  0  0  2
both( . s3s . )    3 |  0  0  0   3 |  *  * 128   *   * |  1  1  0
sefa( x3β3β . ) |   4 |  1  0  1   2 |  *  *   * 192   * |  1  0  1
sefa( . s3s4o ) |   3 |  0  1  0   2 |  *  *   *   * 192 |  0  1  1
----------------+-----+--------------+-------------------+---------
      x3β3β .     24 | 12  0 12  24 |  4  0   8  12   0 | 16  *  *
both( . s3s4o )   12 |  0  6  0  24 |  0  0   8   0  12 |  * 16  *
sefa( x3β3β4o )    6 |  2  2  1   4 |  0  1   0   2   2 |  *  * 96

starting figure: x3x3x4o

β3β3β *b3x

both( . . .    . ) | 192 |  1  1   2   2  1 |  1  1  1  1   3  2  2 |  1 1 1  3
-------------------+-----+------------------+-----------------------+----------
both( . . .    x ) |   2 | 96  *   *   *  * |  0  0  1  1   0  1  1 |  0 1 1  2
both( s 2 s    . ) |   2 |  * 96   *   *  * |  0  0  0  1   2  0  0 |  1 0 0  2
sefa( s3s .    . ) |   2 |  *  * 192   *  * |  1  0  0  0   1  1  0 |  1 1 0  1
sefa( . s3s    . ) |   2 |  *  *   * 192  * |  0  1  0  0   1  0  1 |  1 0 1  1
sefa( . β . *b3x ) |   2 |  *  *   *   * 96 |  0  0  1  0   0  1  1 |  0 1 1  1
-------------------+-----+------------------+-----------------------+----------
both( s3s .    . )    3 |  0  0   3   0  0 | 64  *  *  *   *  *  * |  1 1 0  0
both( . s3s    . )    3 |  0  0   0   3  0 |  * 64  *  *   *  *  * |  1 0 1  0
      . β . *b3x      6 |  3  0   0   0  3 |  *  * 32  *   *  *  * |  0 1 1  0
both( s 2 s    x ) |   4 |  2  2   0   0  0 |  *  *  * 48   *  *  * |  0 0 0  2
sefa( s3s3s    . ) |   3 |  0  1   1   1  0 |  *  *  *  * 192  *  * |  1 0 0  1
sefa( β3β . *b3x ) |   4 |  1  0   2   0  1 |  *  *  *  *   * 96  * |  0 1 0  1
sefa( . β3β *b3x ) |   4 |  1  0   0   2  1 |  *  *  *  *   *  * 96 |  0 0 1  1
-------------------+-----+------------------+-----------------------+----------
both( s3s3s    . )   12 |  0  6  12  12  0 |  4  4  0  0  12  0  0 | 16 * *  *
      β3β . *b3x     24 | 12  0  24   0 12 |  8  0  4  0   0 12  0 |  * 8 *  *
      . β3β *b3x     24 | 12  0   0  24 12 |  0  8  4  0   0  0 12 |  * * 8  *
sefa( β3β3β *b3x )    6 |  2  2   2   2  1 |  0  0  0  1   2  1  1 |  * * * 96

starting figure: x3x3x *b3x

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