Acronym	gwav ditathi
Name	great sphenoverted ditrigonary triakishecatonicosachoron
Circumradius	sqrt[(15-3 sqrt(5))/2] = 2.036148
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gidditdid giid id quit gissid tut gwav ditathi 120 0 120 120 0 grawvixady 0 120 120 0 600 & others)
Face vector	3600, 10800, 6480, 360
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gwav ditathi is isomorphic to srawv ditathi, thereby replacing pentagons by pentagrams, and decagrams by decagons, respectively id by gid, quit gissid by tid, and gidditdid by sidditdid.

Incidence matrix according to Dynkin symbol

     o     
   3 |     
     x     
  5 / \ 5/3
   o---x   
     3     

o3x5o3x5/3*b

. . . .      | 3600 |    4    2 |    2    2    4    1 |   1   2   2
-------------+------+-----------+---------------------+------------
. x . .      |    2 | 7200    * |    1    1    1    0 |   1   1   1
. . . x      |    2 |    * 3600 |    0    0    2    1 |   0   1   2
-------------+------+-----------+---------------------+------------
o3x . .      |    3 |    3    0 | 2400    *    *    * |   1   1   0
. x5o .      |    5 |    5    0 |    * 1440    *    * |   1   0   1
. x . x5/3*b |   10 |    5    5 |    *    * 1440    * |   0   1   1
. . o3x      |    3 |    0    3 |    *    *    * 1200 |   0   0   2
-------------+------+-----------+---------------------+------------
o3x5o .      ♦   30 |   60    0 |   20   12    0    0 | 120   *   *
o3x . x5/3*b ♦   60 |   60   30 |   20    0   12    0 |   * 120   *
. x5o3x5/3*b ♦   60 |   60   60 |    0   12   12   20 |   *   * 120

     o     
   3 |     
     x     
5/4 / \ 5/3
   o---x   
    3/2     

o3x5/4o3/2x5/3*b

. .   .   .      | 3600 |    4    2 |    2    2    4    1 |   1   2   2
-----------------+------+-----------+---------------------+------------
. x   .   .      |    2 | 7200    * |    1    1    1    0 |   1   1   1
. .   .   x      |    2 |    * 3600 |    0    0    2    1 |   0   1   2
-----------------+------+-----------+---------------------+------------
o3x   .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0
. x5/4o   .      |    5 |    5    0 |    * 1440    *    * |   1   0   1
. x   .   x5/3*b |   10 |    5    5 |    *    * 1440    * |   0   1   1
. .   o3/2x      |    3 |    0    3 |    *    *    * 1200 |   0   0   2
-----------------+------+-----------+---------------------+------------
o3x5/4o   .      ♦   30 |   60    0 |   20   12    0    0 | 120   *   *
o3x   .   x5/3*b ♦   60 |   60   30 |   20    0   12    0 |   * 120   *
. x5/4o3/2x5/3*b ♦   60 |   60   60 |    0   12   12   20 |   *   * 120

     o     
 3/2 |     
     x     
  5 / \ 5/3
   o---x   
     3     

o3/2x5o3x5/3*b

.   . . .      | 3600 |    4    2 |    2    2    4    1 |   1   2   2
---------------+------+-----------+---------------------+------------
.   x . .      |    2 | 7200    * |    1    1    1    0 |   1   1   1
.   . . x      |    2 |    * 3600 |    0    0    2    1 |   0   1   2
---------------+------+-----------+---------------------+------------
o3/2x . .      |    3 |    3    0 | 2400    *    *    * |   1   1   0
.   x5o .      |    5 |    5    0 |    * 1440    *    * |   1   0   1
.   x . x5/3*b |   10 |    5    5 |    *    * 1440    * |   0   1   1
.   . o3x      |    3 |    0    3 |    *    *    * 1200 |   0   0   2
---------------+------+-----------+---------------------+------------
o3/2x5o .      ♦   30 |   60    0 |   20   12    0    0 | 120   *   *
o3/2x . x5/3*b ♦   60 |   60   30 |   20    0   12    0 |   * 120   *
.   x5o3x5/3*b ♦   60 |   60   60 |    0   12   12   20 |   *   * 120

     o     
 3/2 |     
     x     
5/4 / \ 5/3
   o---x   
    3/2    

o3/2x5/4o3/2x5/3*b

.   .   .   .      | 3600 |    4    2 |    2    2    4    1 |   1   2   2
-------------------+------+-----------+---------------------+------------
.   x   .   .      |    2 | 7200    * |    1    1    1    0 |   1   1   1
.   .   .   x      |    2 |    * 3600 |    0    0    2    1 |   0   1   2
-------------------+------+-----------+---------------------+------------
o3/2x   .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0
.   x5/4o   .      |    5 |    5    0 |    * 1440    *    * |   1   0   1
.   x   .   x5/3*b |   10 |    5    5 |    *    * 1440    * |   0   1   1
.   .   o3/2x      |    3 |    0    3 |    *    *    * 1200 |   0   0   2
-------------------+------+-----------+---------------------+------------
o3/2x5/4o   .      ♦   30 |   60    0 |   20   12    0    0 | 120   *   *
o3/2x   .   x5/3*b ♦   60 |   60   30 |   20    0   12    0 |   * 120   *
.   x5/4o3/2x5/3*b ♦   60 |   60   60 |    0   12   12   20 |   *   * 120