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

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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