Acronym	sixathi
Name	small hexacositriakishecatonicosachoron
Circumradius	sqrt[10-2 sqrt(5)] = 2.351141
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gaquatid idtid quit sissid saddid srid tut sixathi 120 0 120 0 120 600 hixquitixhi 0 120 120 120 0 600 & others)
Face vector	7200, 18000, 11280, 960
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x3x3o5x5/3*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 . . x5/3*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
. . o5x      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3o .      ♦   12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x . x5/3*a ♦  120 |   60   60   60 |   20   12    0   30    0 |   * 120   *   *
x . o5x5/3*a ♦   60 |   30    0   60 |    0   12    0    0   12 |   *   * 120   *
. x3o5x      ♦   60 |    0   60   60 |    0    0   20   30   12 |   *   *   * 120

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