Acronym ...
Name β3x4β3o (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

β3x4β3o

both( . . . . ) | 576 |   1   2   1   2   2 |  1   2   1   4   3   2 |  2  1  1   3
----------------+-----+---------------------+------------------------+-------------
both( . x . . ) |   2 | 288   *   *   *   * |  1   2   0   0   0   0 |  2  0  1   0
both( s 2 s . ) |   2 |   * 576   *   *   * |  0   0   0   2   2   0 |  1  1  0   2
sefa( β3x . . ) |   2 |   *   * 288   *   * |  1   0   0   2   0   0 |  2  0  0   1
sefa( . x4s . ) |   2 |   *   *   * 576   * |  0   1   0   1   0   1 |  1  0  1   1
sefa( . . β3o ) |   2 |   *   *   *   * 576 |  0   0   1   0   1   1 |  0  1  1   1
----------------+-----+---------------------+------------------------+-------------
      β3x . .      6 |   3   0   3   0   0 | 96   *   *   *   *   * |  2  0  0   0
both( . x4s . )    4 |   2   0   0   2   0 |  * 288   *   *   *   * |  1  0  1   0
      . . β3o      3 |   0   0   0   0   3 |  *   * 192   *   *   * |  0  1  1   0
sefa( β3x4β . ) |   4 |   0   2   1   1   0 |  *   *   * 576   *   * |  1  0  0   1
sefa( β 2 β3o ) |   3 |   0   2   0   0   1 |  *   *   *   * 576   * |  0  1  0   1
sefa( . x4β3o ) |   4 |   0   0   0   2   2 |  *   *   *   *   * 288 |  0  0  1   1
----------------+-----+---------------------+------------------------+-------------
      β3x4β .     48 |  24  24  24  24   0 |  8  12   0  24   0   0 | 24  *  *   *
      β 2 β3o      6 |   0   6   0   0   6 |  0   0   2   0   6   0 |  * 96  *   *
      . x4β3o     24 |  12   0   0  24  24 |  0  12   8   0   0  12 |  *  * 24   *
sefa( β3x4β3o )    6 |   0   4   1   2   2 |  0   0   0   2   2   1 |  *  *  * 288

starting figure: x3x4x3o

© 2004-2021
top of page