Acronym pirshi
Name prismatorhombated (small) stellated hecatonicosachoron
Circumradius sqrt[17+6 sqrt(5)] = 5.515107
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: hip ided raded stip ti toe
pirshi 120001207201200
sphihix 01200720120600
& others)
External
links
hedrondude   WikiChoron  

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


Incidence matrix according to Dynkin symbol

x3x5o5/2x

. . .   . | 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
----------+------+----------------+--------------------------+-----------------
x3x .   . |    6 |    3    3    0 | 2400    *    *    *    * |   1    1   0   0
x . .   x |    4 |    2    0    2 |    * 3600    *    *    * |   0    1   1   0
. x5o   . |    5 |    0    5    0 |    *    * 1440    *    * |   1    0   0   1
. x .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0    1   0   1
. . o5/2x |    5 |    0    0    5 |    *    *    *    * 1440 |   0    0   1   1
----------+------+----------------+--------------------------+-----------------
x3x5o   .    60 |   30   60    0 |   20    0   12    0    0 | 120    *   *   *
x3x .   x    12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
x . o5/2x    10 |    5    0   10 |    0    5    0    0    2 |   *    * 720   *
. x5o5/2x    60 |    0   60   60 |    0    0   12   30   12 |   *    *   * 120

x3x5/4o5/3x

. .   .   . | 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
. x5/4o   . |    5 |    0    5    0 |    *    * 1440    *    * |   1    0   0   1
. x   .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0    1   0   1
. .   o5/3x |    5 |    0    0    5 |    *    *    *    * 1440 |   0    0   1   1
------------+------+----------------+--------------------------+-----------------
x3x5/4o   .    60 |   30   60    0 |   20    0   12    0    0 | 120    *   *   *
x3x   .   x    12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
x .   o5/3x    10 |    5    0   10 |    0    5    0    0    2 |   *    * 720   *
. x5/4o5/3x    60 |    0   60   60 |    0    0   12   30   12 |   *    *   * 120

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