Acronym sipthi
Name small prismatotriakishecatonicosachoron
Circumradius sqrt[8-2 sqrt(5)] = 1.878261
General of army 1/(3f+2)-f3x3f5o
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: dip gaddid qrid quitdid tigid trip
paqrigafix 720012001201200
sipthi 012001201201200
& others)
Face vector 7200, 18000, 10320, 1560
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   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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