Acronym	grix
Name	great rhombated hexacosachoron, cantitruncated hexacosachoron
Cross sections	©
Circumradius	sqrt[43+18 sqrt(5)] = 9.124101
Vertex figure	©
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: pip ti toe grix 720 120 600 )
Confer	2grix
External links

As abstract polytope grix is isomorphic to graggix, thereby replacing the pentagons by pentagrams, resp. replacing ti by tiggy and pip by stip.

Incidence matrix according to Dynkin symbol

x3x3x5o

. . . . | 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
. x3x . |    6 |    0    3    3 |    *    * 2400    * |   1   0   1
. . x5o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
--------+------+----------------+---------------------+------------
x3x3x . ♦   24 |   12   12   12 |    4    6    4    0 | 600   *   *
x . x5o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x3x5o ♦   60 |    0   30   60 |    0    0   20   12 |   *   * 120

x3x3x5/4o

. . .   . | 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
. x3x   . |    6 |    0    3    3 |    *    * 2400    * |   1   0   1
. . x5/4o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x3x   . ♦   24 |   12   12   12 |    4    6    4    0 | 600   *   *
x . x5/4o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x3x5/4o ♦   60 |    0   30   60 |    0    0   20   12 |   *   * 120