Acronym pirghi
Name prismatorhombated great hecatonicosachoron
Circumradius sqrt[13+5 sqrt(5)] = 4.917351
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: dip grid ided pip raded tigid
pirghi 72000720120120
siphidy 01201207200120
& others)
External
links
hedrondude   WikiChoron  

As abstract polytope pirghi is isomorphic to quippirgashi, thereby replacing the decagons by decagrams and interchanging the roles of pentagons and pentagrams, resp. replacing the tigid by quit sissid, the dip by stiddip, and the pip by stip.


Incidence matrix according to Dynkin symbol

x5x5/2o5x

. .   . . | 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
. x5/2o . |    5 |    0    5    0 |    *    * 1440    *    * |   1   0   0   1
. x   . x |    4 |    0    2    2 |    *    *    * 3600    * |   0   1   0   1
. .   o5x |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
----------+------+----------------+--------------------------+----------------
x5x5/2o .    60 |   30   60    0 |   12    0   12    0    0 | 120   *   *   *
x5x   . x    20 |   10   10   10 |    2    5    0    5    0 |   * 720   *   *
x .   o5x    10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x5/2o5x    60 |    0   60   60 |    0    0   12   30   12 |   *   *   * 120

x5x5/3o5/4x

. .   .   . | 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
. x5/3o   . |    5 |    0    5    0 |    *    * 1440    *    * |   1   0   0   1
. x   .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0   1   0   1
. .   o5/4x |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------+------+----------------+--------------------------+----------------
x5x5/3o   .    60 |   30   60    0 |   12    0   12    0    0 | 120   *   *   *
x5x   .   x    20 |   10   10   10 |    2    5    0    5    0 |   * 720   *   *
x .   o5/4x    10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x5/3o5/4x    60 |    0   60   60 |    0    0   12   30   12 |   *   *   * 120

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