Acronym ...
Name frox+600 2thah (?)
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
General of army rox
Colonel of regiment rox
Confer frox   2thah  

This Grünbaumian polychoron can be seen as a union of frox plus the 600 pseudo-thah filled in as doubled up copies, in fact, these double-covers unite as 2thah, thereby letting the surface cross over at this former pseudo-cells. And indeed, the vertex figure is a crossed faceting of a golden-triangular prismatic part of the pip vertex figure of rox. Therefore the vertices of this polychoron coincide by 5.

As abstract polytope frox+600 2thah is isomorphic to ripahi+600 2thah, thereby replacing pentagons by pentagrams, resp. by replacing id by gid and replacing pip by stip.


Incidence matrix according to Dynkin symbol

x3o3/2x5o

. .   . . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
----------+------+-----------+---------------------+------------
x .   . . |    2 | 3600    * |    1    2    0    0 |   2   1   0
. .   x . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
----------+------+-----------+---------------------+------------
x3o   . . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x .   x . |    4 |    2    2 |    * 3600    *    * |   1   1   0
. o3/2x . |    3 |    0    3 |    *    * 2400    * |   1   0   1
. .   x5o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
----------+------+-----------+---------------------+------------
x3o3/2x .    12 |   12   12 |    4    6    4    0 | 600   *   *
x .   x5o    10 |    5   10 |    0    5    0    2 |   * 720   *
. o3/2x5o    30 |    0   60 |    0    0   20   12 |   *   * 120

x3o3/2x5/4o

. .   .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
------------+------+-----------+---------------------+------------
x .   .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
. .   x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
------------+------+-----------+---------------------+------------
x3o   .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x .   x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
. o3/2x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
. .   x5/4o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
------------+------+-----------+---------------------+------------
x3o3/2x   .    12 |   12   12 |    4    6    4    0 | 600   *   *
x .   x5/4o    10 |    5   10 |    0    5    0    2 |   * 720   *
. o3/2x5/4o    30 |    0   60 |    0    0   20   12 |   *   * 120

x3/2o3x5o

.   . . . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
----------+------+-----------+---------------------+------------
x   . . . |    2 | 3600    * |    1    2    0    0 |   2   1   0
.   . x . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
----------+------+-----------+---------------------+------------
x3/2o . . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x   . x . |    4 |    2    2 |    * 3600    *    * |   1   1   0
.   o3x . |    3 |    0    3 |    *    * 2400    * |   1   0   1
.   . x5o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
----------+------+-----------+---------------------+------------
x3/2o3x .    12 |   12   12 |    4    6    4    0 | 600   *   *
x   . x5o    10 |    5   10 |    0    5    0    2 |   * 720   *
.   o3x5o    30 |    0   60 |    0    0   20   12 |   *   * 120

x3/2o3x5/4o

.   . .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
------------+------+-----------+---------------------+------------
x   . .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
.   . x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
------------+------+-----------+---------------------+------------
x3/2o .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x   . x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
.   o3x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
.   . x5/4o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
------------+------+-----------+---------------------+------------
x3/2o3x   .    12 |   12   12 |    4    6    4    0 | 600   *   *
x   . x5/4o    10 |    5   10 |    0    5    0    2 |   * 720   *
.   o3x5/4o    30 |    0   60 |    0    0   20   12 |   *   * 120

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