Acronym girfix
Name great rhombated faceted hexacosachoron
Cross sections
` ©`
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: grid stip tigid girfix 120 720 120
)
External

As abstract polytope girfix is isomorphic to gaqrigafix, thereby replacing the decagons by decagrams and the pentagrams by pentagons, resp. replacing grid by gaquatid, the tigid by quit sissid, and stip by pip.

Incidence matrix according to Dynkin symbol

```x3x5x5/2o

. . .   . | 7200 |    1    1    2 |    1    2    2    1 |   2   1   1
----------+------+----------------+---------------------+------------
x . .   . |    2 | 3600    *    * |    1    2    0    0 |   2   1   0
. x .   . |    2 |    * 3600    * |    1    0    2    0 |   2   0   1
. . x   . |    2 |    *    * 7200 |    0    1    1    1 |   1   1   1
----------+------+----------------+---------------------+------------
x3x .   . |    6 |    3    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    0    2 |    * 3600    *    * |   1   1   0
. x5x   . |   10 |    0    5    5 |    *    * 1440    * |   1   0   1
. . x5/2o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x5x   . ♦  120 |   60   60   60 |   20   30   12    0 | 120   *   *
x . x5/2o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x5x5/2o ♦   60 |    0   30   60 |    0    0   12   12 |   *   * 120
```

```x3x5x5/3o

. . .   . | 7200 |    1    1    2 |    1    2    2    1 |   2   1   1
----------+------+----------------+---------------------+------------
x . .   . |    2 | 3600    *    * |    1    2    0    0 |   2   1   0
. x .   . |    2 |    * 3600    * |    1    0    2    0 |   2   0   1
. . x   . |    2 |    *    * 7200 |    0    1    1    1 |   1   1   1
----------+------+----------------+---------------------+------------
x3x .   . |    6 |    3    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    0    2 |    * 3600    *    * |   1   1   0
. x5x   . |   10 |    0    5    5 |    *    * 1440    * |   1   0   1
. . x5/3o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x5x   . ♦  120 |   60   60   60 |   20   30   12    0 | 120   *   *
x . x5/3o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x5x5/3o ♦   60 |    0   30   60 |    0    0   12   12 |   *   * 120
```