Acronym ...
Name spriphi+600 2thah (?)
Circumradius sqrt[23+10 sqrt(5)] = 6.735034
General of army srahi
Colonel of regiment srahi
Confer spriphi   2thah  

This Grünbaumian polychoron can be seen as a union of spriphi 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 an asymmetric faceting of the vertex figure of srahi. Therefore there can be blended 2 mirror symmetric such, and, correspondingly, the vertices of this polychoron coincide by pairs.

As abstract polytope spriphi+600 2thah is isomorphic to gipriphi+600 2thah, thereby replacing decagons by decagrams, resp. by replacing tid by quit gissid and replacing dip by stiddip.


Incidence matrix according to Dynkin symbol

x5x3o3/2x

. . .   . | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2    1   1
----------+------+----------------+--------------------------+-----------------
x . .   . |    2 | 3600    *    * |    2    2    0    0    0 |   1   2    1   0
. x .   . |    2 |    * 7200    * |    1    0    1    1    0 |   1   1    0   1
. . .   x |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1    1   1
----------+------+----------------+--------------------------+-----------------
x5x .   . |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x . .   x |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
. x3o   . |    3 |    0    3    0 |    *    * 2400    *    * |   1   0    0   1
. x .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0   1    0   1
. . o3/2x |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
----------+------+----------------+--------------------------+-----------------
x5x3o   .    60 |   30   60    0 |   12    0   20    0    0 | 120   *    *   *
x5x .   x    20 |   10   10   10 |    2    5    0    5    0 |   * 720    *   *
x . o3/2x     6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x3o3/2x    12 |    0   12   12 |    0    0    4    6    4 |   *   *    * 600

x5x3/2o3x

. .   . . | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2    1   1
----------+------+----------------+--------------------------+-----------------
x .   . . |    2 | 3600    *    * |    2    2    0    0    0 |   1   2    1   0
. x   . . |    2 |    * 7200    * |    1    0    1    1    0 |   1   1    0   1
. .   . x |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1    1   1
----------+------+----------------+--------------------------+-----------------
x5x   . . |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x .   . x |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
. x3/2o . |    3 |    0    3    0 |    *    * 2400    *    * |   1   0    0   1
. x   . x |    4 |    0    2    2 |    *    *    * 3600    * |   0   1    0   1
. .   o3x |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
----------+------+----------------+--------------------------+-----------------
x5x3/2o .    60 |   30   60    0 |   12    0   20    0    0 | 120   *    *   *
x5x   . x    20 |   10   10   10 |    2    5    0    5    0 |   * 720    *   *
x .   o3x     6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x3/2o3x    12 |    0   12   12 |    0    0    4    6    4 |   *   *    * 600

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