Acronym gik vipathi
Name great skewverted prismatotriakishecatonicosachoron
Circumradius sqrt(8) = 2.828427
Colonel of regiment sik vipathi
External
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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

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