Acronym sipthi
Name small prismatotriakishecatonicosachoron
Circumradius sqrt[8-2 sqrt(5)] = 1.878261
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: dip gaddid qrid quitdid tigid trip
paqrigafix 720012001201200
sipthi 012001201201200
& others)
External
links
hedrondude   WikiChoron  

As abstract polytope sipthi is isomorphic to gipthi, thereby interchanging the roles of decagons and decagrams and replacing the pentagrams by pentagons, respectively replacing tigid by quit sissid and gaddid by saddid.


Incidence matrix according to Dynkin symbol

x5x5/2o3x5/3*b

. .   . .      | 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   . x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1    0   1
. .   o3x      |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
---------------+------+----------------+--------------------------+-----------------
x5x5/2o .         60 |   30   60    0 |   12    0   12    0    0 | 120   *    *   *
x5x   . x5/3*b   120 |   60   60   60 |   12   30    0   12    0 |   * 120    *   *
x .   o3x          6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x5/2o3x5/3*b    60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120

x5x5/3o3/2x5/3*b

. .   .   .      | 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   .   x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1    0   1
. .   o3/2x      |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
-----------------+------+----------------+--------------------------+-----------------
x5x5/3o   .         60 |   30   60    0 |   12    0   12    0    0 | 120   *    *   *
x5x   .   x5/3*b   120 |   60   60   60 |   12   30    0   12    0 |   * 120    *   *
x .   o3/2x          6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x5/3o3/2x5/3*b    60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120

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