Acronym gixathi Name great hexacositriakishecatonicosachoron Circumradius sqrt[10+2 sqrt(5)] = 3.804226 Colonel of regiment hixtixhi Externallinks

As abstract polytope gixathi is isomorphical to sixathi, thereby replacinging decagons by decagrams and pentagrams by pentagons, respectively replacinging qrid by srid, tigid by quit sissid, and grid by gaquatid. – As such gixathi is a lieutenant.

Incidence matrix according to Dynkin symbol

```x3x3o5/3x5*a

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

```x3x3/2o5/2x5*a

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