Acronym pirgaghi
Name prismatorhombated great grand hecatonicosachoron
Circumradius sqrt[17-6 sqrt(5)] = 1.893038
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: hip ided pip raded tiggy toe
pirgaghi 120007207201200
giphihix 01207200120600
& others)
External
links
hedrondude   WikiChoron  

As abstract polytope pirgaghi is isomorphic to pirshi, thereby interchanging the roles of pentagrams and pentagons, resp. replacing tiggy by ti and replacing pip by stip.


Incidence matrix according to Dynkin symbol

x3x5/2o5x

. .   . . | 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
----------+------+----------------+--------------------------+-----------------
x3x   . . |    6 |    3    3    0 | 2400    *    *    *    * |   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
----------+------+----------------+--------------------------+-----------------
x3x5/2o .    60 |   30   60    0 |   20    0   12    0    0 | 120    *   *   *
x3x   . x    12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
x .   o5x    10 |    5    0   10 |    0    5    0    0    2 |   *    * 720   *
. x5/2o5x    60 |    0   60   60 |    0    0   12   30   12 |   *    *   * 120

x3x5/3o5/4x

. .   .   . | 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
------------+------+----------------+--------------------------+-----------------
x3x   .   . |    6 |    3    3    0 | 2400    *    *    *    * |   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
------------+------+----------------+--------------------------+-----------------
x3x5/3o   .    60 |   30   60    0 |   20    0   12    0    0 | 120    *   *   *
x3x   .   x    12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
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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