Acronym	gaqrigafix
Name	great quasirhombated great faceted hexacosachoron
Cross sections	©
Circumradius	sqrt[28-12 sqrt(5)] = 1.080363
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gaquatid pip quit sissid gaqrigafix 120 720 120 )
Face vector	7200, 14400, 7680, 960
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gaqrigafix is isomorphic to girfix, thereby replacing the decagrams by decagons and the pentagons by pentagrams, resp. replacing gaquatid by grid, the quit sissid by tigid, and pip by stip.

Incidence matrix according to Dynkin symbol

x3x5/3x5o

. .   . . | 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
. x5/3x . |   10 |    0    5    5 |    *    * 1440    * |   1   0   1
. .   x5o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x5/3x . ♦  120 |   60   60   60 |   20   30   12    0 | 120   *   *
x .   x5o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x5/3x5o ♦   60 |    0   30   60 |    0    0   12   12 |   *   * 120

x3x5/3x5/4o

. .   .   . | 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
. x5/3x   . |   10 |    0    5    5 |    *    * 1440    * |   1   0   1
. .   x5/4o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
------------+------+----------------+---------------------+------------
x3x5/3x   . ♦  120 |   60   60   60 |   20   30   12    0 | 120   *   *
x .   x5/4o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x5/3x5/4o ♦   60 |    0   30   60 |    0    0   12   12 |   *   * 120