Acronym grix
Name great rhombated hexacosachoron,
cantitruncated hexacosachoron
Cross sections
` ©`
Vertex figure
` ©`
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: pip ti toe grix 720 120 600
)
Confer 2grix
External

As abstract polytope grix is isomorphic to graggix, thereby replacing the pentagons by pentagrams, resp. replacing ti by tiggy and pip by stip.

Incidence matrix according to Dynkin symbol

```x3x3x5o

. . . . | 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
. x3x . |    6 |    0    3    3 |    *    * 2400    * |   1   0   1
. . x5o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
--------+------+----------------+---------------------+------------
x3x3x . ♦   24 |   12   12   12 |    4    6    4    0 | 600   *   *
x . x5o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x3x5o ♦   60 |    0   30   60 |    0    0   20   12 |   *   * 120
```

```x3x3x5/4o

. . .   . | 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
. x3x   . |    6 |    0    3    3 |    *    * 2400    * |   1   0   1
. . x5/4o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x3x   . ♦   24 |   12   12   12 |    4    6    4    0 | 600   *   *
x . x5/4o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x3x5/4o ♦   60 |    0   30   60 |    0    0   20   12 |   *   * 120
```