Acronym ...
Name x3β3β4x (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

x3β3β4x

both( . . . . ) | 384 |   1   1   1   2   1 |  1  1   1  1   2  1  1   2 |  1  1  1  1  2
----------------+-----+---------------------+----------------------------+---------------
both( x . . . ) |   2 | 192   *   *   *   * |  1  1   0  0   1  0  1   0 |  1  1  1  0  1
both( . . . x ) |   2 |   * 192   *   *   * |  1  0   0  1   0  1  0   1 |  0  1  1  1  1
sefa( x3β . . ) |   2 |   *   * 192   *   * |  0  1   0  0   1  1  0   0 |  1  1  0  0  1
sefa( . s3s . ) |   2 |   *   *   * 384   * |  0  0   1  0   1  0  0   1 |  1  0  0  1  1
sefa( . . s4x ) |   2 |   *   *   *   * 192 |  0  0   0  1   0  0  1   1 |  0  0  1  1  1
----------------+-----+---------------------+----------------------------+---------------
both( x . . x ) |   4 |   2   2   0   0   0 | 96  *   *  *   *  *  *   * |  0  1  1  0  0
      x3β . .      6 |   3   0   3   0   0 |  * 64   *  *   *  *  *   * |  1  1  0  0  0
both( . s3s . )    3 |   0   0   0   3   0 |  *  * 128  *   *  *  *   * |  1  0  0  1  0
both( . . s4x )    4 |   0   2   0   0   2 |  *  *   * 96   *  *  *   * |  0  0  1  1  0
sefa( x3β3β . ) |   4 |   1   0   1   2   0 |  *  *   *  * 192  *  *   * |  1  0  0  0  1
sefa( x3β 2 x ) |   4 |   0   2   2   0   0 |  *  *   *  *   * 96  *   * |  0  1  0  0  1
sefa( x 2 s4x ) |   4 |   2   0   0   0   2 |  *  *   *  *   *  * 96   * |  0  0  1  0  1
sefa( . s3s4x ) |   4 |   0   1   0   2   1 |  *  *   *  *   *  *  * 192 |  0  0  0  1  1
----------------+-----+---------------------+----------------------------+---------------
      x3β3β .     24 |  12   0  12  24   0 |  0  4   8  0  12  0  0   0 | 16  *  *  *  *
      x3β 2 x     12 |   6   6   6   0   0 |  3  2   0  0   0  3  0   0 |  * 32  *  *  *
both( x 2 s4x )    8 |   4   4   0   0   4 |  2  0   0  2   0  0  2   0 |  *  * 48  *  *
both( . s3s4x )   24 |   0  12   0  24  12 |  0  0   8  6   0  0  0  12 |  *  *  * 16  *
sefa( x3β3β4x )    8 |   2   2   2   4   2 |  0  0   0  0   2  1  1   2 |  *  *  *  * 96

starting figure: x3x3x4x

© 2004-2021
top of page