Acronym	grawvathi
Name	great retrosphenoverted triakishecatonicosachoron
Cross sections	©
Circumradius	sqrt[(11+sqrt(5))/2] = 2.572554
Colonel of regiment	swav ditathi
Face vector	3600, 10800, 6960, 360
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope grawvathi is isomorphic to swavathi, thereby replacing pentagons by pentagrams, respectively ti by tiggy, id by gid, and giid by siid. – As such grawvathi is a lieutenant.

Incidence matrix according to Dynkin symbol

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

o5x3x5o3/2*b

. . . .      | 3600 |    4    2 |    2    4    2   1 |   2   1   2
-------------+------+-----------+--------------------+------------
. x . .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
. . x .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
-------------+------+-----------+--------------------+------------
o5x . .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
. x3x .      |    6 |    3    3 |    * 2400    *   * |   1   0   1
. x . o3/2*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
. . x5o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-------------+------+-----------+--------------------+------------
o5x3x .      ♦   60 |   60   30 |   12   20    0   0 | 120   *   *
o5x . o3/2*b ♦   30 |   60    0 |   12    0   20   0 |   * 120   *
. x3x5o3/2*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120

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

o5x3x5/4o3*b

. . .   .    | 3600 |    4    2 |    2    4    2   1 |   2   1   2
-------------+------+-----------+--------------------+------------
. x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
. . x   .    |    2 |    * 3600 |    0    2    0   1 |   1   0   2
-------------+------+-----------+--------------------+------------
o5x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
. x3x   .    |    6 |    3    3 |    * 2400    *   * |   1   0   1
. x .   o3*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
. . x5/4o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
-------------+------+-----------+--------------------+------------
o5x3x   .    ♦   60 |   60   30 |   12   20    0   0 | 120   *   *
o5x .   o3*b ♦   30 |   60    0 |   12    0   20   0 |   * 120   *
. x3x5/4o3*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120

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

o5/4x3x5o3/2*b

.   . . .      | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x . .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o5/4x . .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3x .      |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x . o3/2*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/4x3x .      ♦   60 |   60   30 |   12   20    0   0 | 120   *   *
o5/4x . o3/2*b ♦   30 |   60    0 |   12    0   20   0 |   * 120   *
.   x3x5o3/2*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120

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

o5/4x3x5/4o3*b

.   . .   .    | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x   .    |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o5/4x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3x   .    |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x .   o3*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5/4o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/4x3x   .    ♦   60 |   60   30 |   12   20    0   0 | 120   *   *
o5/4x .   o3*b ♦   30 |   60    0 |   12    0   20   0 |   * 120   *
.   x3x5/4o3*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120