Acronym	getit phiddix
Name	great tritrigonal prismatohecatonicosidishexacosachoron
Cross sections	©
Circumradius	sqrt[8-3 sqrt(5)] = 1.136572
Colonel of regiment	getit xethi
Face vector	2400, 10800, 9840, 2040
Confer	segmentochora: gidtidagiid   general polytopal classes: Wythoffian polychora
External links

As abstract polytope getit phiddix is isomorphic to stut phiddix, thereby replacing the pentagons by pentagrams, resp. replacing pip by stip and gidtid by sidtid. – As such getit phiddix is a lieutenant.

Incidence matrix according to Dynkin symbol

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

x3o3x5o3/2*b

. . . .      | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------+------+-----------+---------------------+----------------
x . . .      |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
. . x .      |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------+------+-----------+---------------------+----------------
x3o . .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . x .      |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
. o3x .      |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
. . x5o      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------+------+-----------+---------------------+----------------
x3o3x .      ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x3o . o3/2*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x . x5o      ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3x5o3/2*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

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

x3o3x5/4o3*b

. . .   .    | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------+------+-----------+---------------------+----------------
x . .   .    |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
. . x   .    |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------+------+-----------+---------------------+----------------
x3o .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . x   .    |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
. o3x   .    |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
. . x5/4o    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------+------+-----------+---------------------+----------------
x3o3x   .    ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x3o .   o3*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x . x5/4o    ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3x5/4o3*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

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

x3/2o3/2x5o3*b

.   .   . .    | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
---------------+------+-----------+---------------------+----------------
x   .   . .    |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
.   .   x .    |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
---------------+------+-----------+---------------------+----------------
x3/2o   . .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   x .    |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
.   o3/2x .    |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
.   .   x5o    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
---------------+------+-----------+---------------------+----------------
x3/2o3/2x .    ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x/23o   . o3*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x   .   x5o    ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2x5o3*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

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

x3/2o3/2x5/4o3/2*b

.   .   .   .      | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------------+------+-----------+---------------------+----------------
x   .   .   .      |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
.   .   x   .      |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o   .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   x   .      |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
.   o3/2x   .      |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
.   .   x5/4o      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o3/2x   .      ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x/23o   .   o3/2*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x   .   x5/4o      ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2x5/4o3/2*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120