Acronym	girfix
Name	great rhombated faceted hexacosachoron
Cross sections	©
Circumradius	sqrt[28+12 sqrt(5)] = 7.404918
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: grid stip tigid girfix 120 720 120 )
Face vector	7200, 14400, 7680, 960
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x3x5x5/2o

. . .   . | 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
. x5x   . |   10 |    0    5    5 |    *    * 1440    * |   1   0   1
. . x5/2o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x5x   . ♦  120 |   60   60   60 |   20   30   12    0 | 120   *   *
x . x5/2o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x5x5/2o ♦   60 |    0   30   60 |    0    0   12   12 |   *   * 120

x3x5x5/3o

. . .   . | 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
. x5x   . |   10 |    0    5    5 |    *    * 1440    * |   1   0   1
. . x5/3o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x5x   . ♦  120 |   60   60   60 |   20   30   12    0 | 120   *   *
x . x5/3o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x5x5/3o ♦   60 |    0   30   60 |    0    0   12   12 |   *   * 120