Acronym graggix
Name great rhombated grand hexacosachoron
Cross sections
` ©`
Circumradius sqrt[43-18 sqrt(5)] = 1.658546
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: stip tiggy toe graggix 720 120 600
)
External
links

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

Incidence matrix according to Dynkin symbol

```x3x3x5/2o

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

```x3x3x5/3o

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

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