Acronym	sik vipathi
Name	small skewverted prismatotriakishecatonicosachoron
Circumradius	sqrt(8) = 2.828427
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: dip gaddid hip ided idtid qrid raded saddid srid stiddip gik vipathi 720 0 0 0 0 120 120 120 0 0 kevuthi 0 120 0 120 120 0 0 120 0 0 sik vipathi 0 120 0 0 0 0 120 0 120 720 kavipathi 0 0 1200 120 0 120 0 0 120 0 & others)
Face vector	7200, 21600, 13920, 1080
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sik vipathi is isomorphic to gik vipathi, thereby interchanging the roles of the pentagrams and pentagons and replacing the decagrams by decagons, respectively replacing srid by qrid, stiddip by dip, and gaddid by saddid.

Incidence matrix according to Dynkin symbol

     x     
   5 |     
     o     
  3 / \ 5/2
   x---x   
    5/3    

x5o3x5/3x5/2*b

. . .   .      | 7200 |    2    2    2 |    1    2    2    1    1    2 |   1   1   2   1
---------------+------+----------------+-------------------------------+----------------
x . .   .      |    2 | 7200    *    * |    1    1    1    0    0    0 |   1   1   1   0
. . x   .      |    2 |    * 7200    * |    0    1    0    1    0    1 |   1   0   1   1
. . .   x      |    2 |    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1
---------------+------+----------------+-------------------------------+----------------
x5o .   .      |    5 |    5    0    0 | 1440    *    *    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    2    0 |    * 3600    *    *    *    * |   1   0   1   0
x . .   x      |    4 |    2    0    2 |    *    * 3600    *    *    * |   0   1   1   0
. o3x   .      |    3 |    0    3    0 |    *    *    * 2400    *    * |   1   0   0   1
. o .   x5/2*b |    5 |    0    0    5 |    *    *    *    * 1440    * |   0   1   0   1
. . x5/3x      |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+-------------------------------+----------------
x5o3x   .      ♦   60 |   60   60    0 |   12   30    0   20    0    0 | 120   *   *   *
x5o .   x5/2*b ♦   60 |   60    0   60 |   12    0   30    0   12    0 |   * 120   *   *
x . x5/3x      ♦   20 |   10   10   10 |    0    5    5    0    0    2 |   *   * 720   *
. o3x5/3x5/2*b ♦   60 |    0   60   60 |    0    0    0   20   12   12 |   *   *   * 120

     x     
 5/4 |     
     o     
3/2 / \ 5/3
   x---x   
    5/3    

x5/4o3/2x5/3x5/3*b

.   .   .   .      | 7200 |    2    2    2 |    1    2    2    1    1    2 |   1   1   2   1
-------------------+------+----------------+-------------------------------+----------------
x   .   .   .      |    2 | 7200    *    * |    1    1    1    0    0    0 |   1   1   1   0
.   .   x   .      |    2 |    * 7200    * |    0    1    0    1    0    1 |   1   0   1   1
.   .   .   x      |    2 |    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1
-------------------+------+----------------+-------------------------------+----------------
x5/4o   .   .      |    5 |    5    0    0 | 1440    *    *    *    *    * |   1   1   0   0
x   .   x   .      |    4 |    2    2    0 |    * 3600    *    *    *    * |   1   0   1   0
x   .   .   x      |    4 |    2    0    2 |    *    * 3600    *    *    * |   0   1   1   0
.   o3/2x   .      |    3 |    0    3    0 |    *    *    * 2400    *    * |   1   0   0   1
.   o   .   x5/3*b |    5 |    0    0    5 |    *    *    *    * 1440    * |   0   1   0   1
.   .   x5/3x      |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
-------------------+------+----------------+-------------------------------+----------------
x5/4o3/2x   .      ♦   60 |   60   60    0 |   12   30    0   20    0    0 | 120   *   *   *
x5/4o   .   x5/3*b ♦   60 |   60    0   60 |   12    0   30    0   12    0 |   * 120   *   *
x   .   x5/3x      ♦   20 |   10   10   10 |    0    5    5    0    0    2 |   *   * 720   *
.   o3/2x5/3x5/3*b ♦   60 |    0   60   60 |    0    0    0   20   12   12 |   *   *   * 120