Acronym	gixathi
Name	great hexacositriakishecatonicosachoron
Circumradius	sqrt[10+2 sqrt(5)] = 3.804226
Colonel of regiment	hixtixhi
Face vector	7200, 18000, 11280, 960
Confer	general polytopal classes: Wythoffian polychora
External links

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