Acronym	gik vipathi
Name	great skewverted prismatotriakishecatonicosachoron
Circumradius	sqrt(8) = 2.828427
Colonel of regiment	sik vipathi
Face vector	7200, 21600, 13920, 1080
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x5/2o3/2x5x5*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
---------------+------+----------------+-------------------------------+----------------
x5/2o   . .    |    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*b |    5 |    0    0    5 |    *    *    *    * 1440    * |   0   1   0   1
.   .   x5x    |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+-------------------------------+----------------
x5/2o3/2x .    ♦   60 |   60   60    0 |   12   30    0   20    0    0 | 120   *   *   *
x5/2o   . x5*b ♦   60 |   60    0   60 |   12    0   30    0   12    0 |   * 120   *   *
x   .   x5x    ♦   20 |   10   10   10 |    0    5    5    0    0    2 |   *   * 720   *
.   o3/2x5x5*b ♦   60 |    0   60   60 |    0    0    0   20   12   12 |   *   *   * 120

x5/3o3x5x5/4*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
---------------+------+----------------+-------------------------------+----------------
x5/3o . .      |    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 . x5/4*b |    5 |    0    0    5 |    *    *    *    * 1440    * |   0   1   0   1
.   . x5x      |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+-------------------------------+----------------
x5/3o3x .      ♦   60 |   60   60    0 |   12   30    0   20    0    0 | 120   *   *   *
x5/3o . x5/4*b ♦   60 |   60    0   60 |   12    0   30    0   12    0 |   * 120   *   *
x   . x5x      ♦   20 |   10   10   10 |    0    5    5    0    0    2 |   *   * 720   *
.   o3x5x5/4*b ♦   60 |    0   60   60 |    0    0    0   20   12   12 |   *   *   * 120