Acronym ...
Name 2grix (?)
Circumradius sqrt[43+18 sqrt(5)] = 9.124101
General of army grix
Colonel of regiment grix
Confer
non-Grünbaumian master:
grix  

Looks like a compound of 2 great rhombated hexacosachora (grix), and indeed all but the Grünbaumian elements coincide by pairs.


Incidence matrix according to Dynkin symbol

x3x3x5β

both( . . . . ) | 14400 |    1    1    1    1 |    1    1    1    1    1    1 |   1   1   1   1
----------------+-------+---------------------+-------------------------------+----------------
both( x . . . ) |     2 | 7200    *    *    * |    1    1    0    0    1    0 |   1   1   0   1
both( . x . . ) |     2 |    * 7200    *    * |    1    0    1    0    0    1 |   1   0   1   1
both( . . x . ) |     2 |    *    * 7200    * |    0    1    1    1    0    0 |   1   1   1   0
sefa( . . x5β ) |     2 |    *    *    * 7200 |    0    0    0    1    1    1 |   0   1   1   1
----------------+-------+---------------------+-------------------------------+----------------
both( x3x . . ) |     6 |    3    3    0    0 | 2400    *    *    *    *    * |   1   0   0   1
both( x . x . ) |     4 |    2    0    2    0 |    * 3600    *    *    *    * |   1   1   0   0
both( . x3x . ) |     6 |    0    3    3    0 |    *    * 2400    *    *    * |   1   0   1   0
      . . x5β       10 |    0    0    5    5 |    *    *    * 1440    *    * |   0   1   1   0
sefa( x 2 x5β ) |     4 |    2    0    0    2 |    *    *    *    * 3600    * |   0   1   0   1
sefa( . x3x5β ) |     6 |    0    3    0    3 |    *    *    *    *    * 2400 |   0   0   1   1
----------------+-------+---------------------+-------------------------------+----------------
both( x3x3x . )     24 |   12   12   12    0 |    4    6    4    0    0    0 | 600   *   *   *
      x . x5β       20 |   10    0   10   10 |    0    5    0    2    5    0 |   * 720   *   *
      . x3x5β      120 |    0   60   60   60 |    0    0   20   12    0   20 |   *   * 120   *
sefa( x3x3x5β )     24 |   12   12    0   12 |    4    0    0    0    6    4 |   *   *   * 600

starting figure: x3x3x5x

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