Acronym	gaqrigashi
Name	great quasirhombated great stellated hecatonicosachoron
Cross sections	©
Circumradius	sqrt[14-3 sqrt(5)] = 2.700333
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gaquatid pip ti gaqrigashi 120 720 120 )
Face vector	7200, 14400, 8160, 960
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gaqrigashi is isomorphic to graghi, thereby replacing the decagrams by decagons and the pentagons by pentagrams, resp. replacing the gaquatid by grid, the ti by tiggy, and the pip by stip.

Incidence matrix according to Dynkin symbol

x5/3x3x5o

.   . . . | 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
----------+------+----------------+--------------------+------------
x5/3x . . |   10 |    5    5    0 | 720    *    *    * |   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
----------+------+----------------+--------------------+------------
x5/3x3x . ♦  120 |   60   60   60 |  12   30   20    0 | 120   *   *
x   . x5o ♦   10 |    5    0   10 |   0    5    0    2 |   * 720   *
.   x3x5o ♦   60 |    0   30   60 |   0    0   20   12 |   *   * 120

x5/3x3x5/4o

.   . .   . | 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
------------+------+----------------+--------------------+------------
x5/3x .   . |   10 |    5    5    0 | 720    *    *    * |   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
------------+------+----------------+--------------------+------------
x5/3x3x   . ♦  120 |   60   60   60 |  12   30   20    0 | 120   *   *
x   . x5/4o ♦   10 |    5    0   10 |   0    5    0    2 |   * 720   *
.   x3x5/4o ♦   60 |    0   30   60 |   0    0   20   12 |   *   * 120