Acronym	getit xethi
Name	great tritrigonal hexacositrishecatonicosachoron
Cross sections	©
Circumradius	sqrt[8-3 sqrt(5)] = 1.136572
Vertex figure	©
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co ditdid gaddid gidditdid gidtid giid oho pip qrid quit gissid sidtid tet tiggy getit phiddix 600 0 0 0 120 0 0 720 0 0 0 600 0 getatixady 600 0 0 0 0 0 0 0 120 0 120 0 0 getit thix 0 120 0 0 0 120 0 0 0 0 0 600 120 getit pixady 0 120 0 0 0 0 0 720 120 0 0 600 0 getit xethi 0 0 120 0 0 0 0 0 0 120 120 600 0 git thixady 0 0 0 120 120 0 0 0 0 120 0 600 0 getit dixady 0 0 0 0 0 0 600 0 0 0 120 600 120 & others)
Face vector	2400, 10800, 7680, 960
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope getit xethi is isomorphic to stut xethi, thereby replacing the decagrams by decagons and the pentagrams by pentagons, resp. replacing the sidtid by gidtid, gaddid by saddid, and quit gissid by tid.

Incidence matrix according to Dynkin symbol

o3o3x5/3x3*a5/2*c

. . .   .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
------------------+------+-----------+---------------------+----------------
. . x   .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
. . .   x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
------------------+------+-----------+---------------------+----------------
o . x   . *a5/2*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o . .   x3*a      |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
. o3x   .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
. . x5/3x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+---------------------+----------------
o3o3x   . *a5/2*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o .   x3*a      ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o . x5/3x3*a5/2*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
. o3x5/3x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120

o3o3/2x5/3x3/2*a5/3*c

. .   .   .           | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
----------------------+------+-----------+---------------------+----------------
. .   x   .           |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
. .   .   x           |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
----------------------+------+-----------+---------------------+----------------
o .   x   .   *a5/3*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o .   .   x3/2*a      |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
. o3/2x   .           |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
. .   x5/3x           |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
----------------------+------+-----------+---------------------+----------------
o3o3/2x   .   *a5/3*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o   .   x3/2*a      ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o .   x5/3x3/2*a5/3*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
. o3/2x5/3x           ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120

o3/2o3x5/3x3/2*a5/3*c

.   . .   .           | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
----------------------+------+-----------+---------------------+----------------
.   . x   .           |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
.   . .   x           |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
----------------------+------+-----------+---------------------+----------------
o   . x   .   *a5/3*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   . .   x3/2*a      |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
.   o3x   .           |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
.   . x5/3x           |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
----------------------+------+-----------+---------------------+----------------
o3/2o3x   .   *a5/3*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o .   x3/2*a      ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o   . x5/3x3/2*a5/3*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
.   o3x5/3x           ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120

o3/2o3/2x5/3x3*a5/2*c

.   .   .   .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
----------------------+------+-----------+---------------------+----------------
.   .   x   .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
.   .   .   x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
----------------------+------+-----------+---------------------+----------------
o   .   x   . *a5/2*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   .   .   x3*a      |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
.   o3/2x   .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
.   .   x5/3x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
----------------------+------+-----------+---------------------+----------------
o3/2o3/2x   . *a5/2*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o   .   x3*a      ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o   .   x5/3x3*a5/2*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
.   o3/2x5/3x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120