Acronym ...
Name shi+120x 2sissid(?)
Circumradius ...
Confer
non-Grünbaumian master:
shi  

Incidence matrix according to Dynkin symbol

β3β5o5/2o

both( . . .   . ) | 1440 |   10   10 |    5    5   15    5 |   5   1    6
------------------+------+-----------+---------------------+-------------
sefa( β3β .   . ) |    2 | 7200    * |    1    0    2    0 |   2   0    1
sefa( . β5o   . ) |    2 |    * 7200 |    0    1    1    1 |   1   1    1  pw. coincident
------------------+------+-----------+---------------------+-------------
      β3β .   .   |    3 |    3    0 | 2400    *    *    * |   2   0    0  as {3}, coming within gyrated coplanar pairs
      . β5o   .   |    5 |    0    5 |    * 1440    *    * |   1   1    0  {5/2}, coincident with other pentagr. type
sefa( β3β5o   . ) |    3 |    2    1 |    *    * 7200    * |   1   0    1
sefa( . β5o5/2o ) |    5 |    0    5 |    *    *    * 1440 |   0   1    1  {5/2}, coincident with other pentagr. type
------------------+------+-----------+---------------------+-------------
      β3β5o   .   |   60 |  120   60 |   40   12   60    0 | 120   *    *  seside
      . β5o5/2o   |   12 |    0   60 |    0   12    0   12 |   * 120    *  2sissid
sefa( β3β5o5/2o ) |    6 |    5    5 |    0    0    5    1 |   *   * 1440  stappy

starting figure: x3x5o5/2o

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