Circumradius sqrt[35-15 sqrt(5)] = 1.207883
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: gaddid gaquatid gird hip qrid stip tut gippixady 120 120 0 0 0 720 600 gripady 0 120 120 1200 0 0 0 paqrigagishi 0 0 0 1200 120 720 600
)
External

As abstract polytope gippixady is isomorphic to spixady, thereby replacing pentagrams by pentagons and decagrams by decagons, respectively gaquatid by grid, stip by pip, and gaddid by saddid.

Incidence matrix according to Dynkin symbol

```x3x3o5/2x5/3*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
---------------+------+----------------+--------------------------+----------------
x3x .   .      |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x . .   x      |    4 |    2    0    2 |    * 3600    *    *    * |   0   1   1   0
. x3o   .      |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x .   x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
. . o5/2x      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x3x3o   .      ♦   12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x .   x5/3*b ♦  120 |   60   60   60 |   20   30    0   12    0 |   * 120   *   *
x . o5/2x      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3o5/2x5/3*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120
```

```x3x3/2o5/3x5/3*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
-----------------+------+----------------+--------------------------+----------------
x3x   .   .      |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   .   x      |    4 |    2    0    2 |    * 3600    *    *    * |   0   1   1   0
. x3/2o   .      |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x   .   x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
. .   o5/3x      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-----------------+------+----------------+--------------------------+----------------
x3x3/2o   .      ♦   12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x   .   x5/3*b ♦  120 |   60   60   60 |   20   30    0   12    0 |   * 120   *   *
x .   o5/3x      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3/2o5/3x5/3*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120
```

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