Acronym ...
Name 2rox+1440{5}+2400{3} (?)
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
General of army rox
Colonel of regiment rox
Confer
non-Grünbaumian master:
rox  
Grünbaumian relatives:
rox+720pip   2rox   2rox+sophi  

This scaliform polychoron looks like a compound of 2 coincident rectified hexacosachora (rox) with 1440 additional pentagons into the former icosahedra (ike) and 2400 additional triangles arranged pairwise coincident in tetrahedral positions of the former octahedra (oct).


Incidence matrix according to Dynkin symbol

β3β3o5o

both( . . . . ) | 1440 |   10   10 |    5    5   15    5 |   5   1    6
----------------+------+-----------+---------------------+-------------
sefa( s3s . . ) |    2 | 7200    * |    1    0    2    0 |   2   0    1
sefa( . β3o . ) |    2 |    * 7200 |    0    1    1    1 |   1   1    1
----------------+------+-----------+---------------------+-------------
both( s3s . . )     3 |    3    0 | 2400    *    *    * |   2   0    0
      . β3o .       3 |    0    3 |    * 2400    *    * |   1   1    0
sefa( β3β3o . ) |    3 |    2    1 |    *    * 7200    * |   1   0    1
sefa( . β3o5o ) |    5 |    0    5 |    *    *    * 1440 |   0   1    1
----------------+------+-----------+---------------------+-------------
      β3β3o .      12 |   24   12 |    8    4   12    0 | 600   *    *
      . β3o5o      12 |    0   60 |    0   20    0   12 |   * 120    *
sefa( β3β3o5o )     6 |    5    5 |    0    0    5    1 |   *   * 1440

starting figure: x3x3o5o

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