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

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