Acronym	gadatady
Name	grand ditetrahedral dishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	gadtaxady
Face vector	600, 3600, 2160, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gadatady is isomorphic to siddatady, thereby replacing pentagons by pentagrams, resp. gissid by doe.

Incidence matrix according to Dynkin symbol

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

o3o3o5x5/3*b

. . . .      | 600 |   12 |   12   6 |   4   4
-------------+-----+------+----------+--------
. . . x      |   2 | 3600 |    2   1 |   1   2
-------------+-----+------+----------+--------
. o . x5/3*b |   5 |    5 | 1440   * |   1   1
. . o5x      |   5 |    5 |    * 720 |   0   2
-------------+-----+------+----------+--------
o3o . x5/3*b ♦  20 |   30 |   12   0 | 120   *
. o3o5x5/3*b ♦  20 |   60 |   12  12 |   * 120

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

o3o3o5/4x5/2*b

. . .   .      | 600 |   12 |   12   6 |   4   4
---------------+-----+------+----------+--------
. . .   x      |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
. o .   x5/2*b |   5 |    5 | 1440   * |   1   1
. . o5/4x      |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o3o .   x5/2*b ♦  20 |   30 |   12   0 | 120   *
. o3o5/4x5/2*b ♦  20 |   60 |   12  12 |   * 120

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

o3o3/2o5x5/2*b

. .   . .      | 600 |   12 |   12   6 |   4   4
---------------+-----+------+----------+--------
. .   . x      |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
. o   . x5/2*b |   5 |    5 | 1440   * |   1   1
. .   o5x      |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o3o   . x5/2*b ♦  20 |   30 |   12   0 | 120   *
. o3/2o5x5/2*b ♦  20 |   60 |   12  12 |   * 120

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

o3o3/2o5/4x5/3*b

. .   .   .      | 600 |   12 |   12   6 |   4   4
-----------------+-----+------+----------+--------
. .   .   x      |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
. o   .   x5/3*b |   5 |    5 | 1440   * |   1   1
. .   o5/4x      |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o3o   .   x5/3*b ♦  20 |   30 |   12   0 | 120   *
. o3/2o5/4x5/3*b ♦  20 |   60 |   12  12 |   * 120

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

o3/2o3o5x5/3*b

.   . . .      | 600 |   12 |   12   6 |   4   4
---------------+-----+------+----------+--------
.   . . x      |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o . x5/3*b |   5 |    5 | 1440   * |   1   1
.   . o5x      |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o3/2o . x5/3*b ♦  20 |   30 |   12   0 | 120   *
.   o3o5x5/3*b ♦  20 |   60 |   12  12 |   * 120

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

o3/2o3o5/4x5/2*b

.   . .   .      | 600 |   12 |   12   6 |   4   4
-----------------+-----+------+----------+--------
.   . .   x      |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
.   o .   x5/2*b |   5 |    5 | 1440   * |   1   1
.   . o5/4x      |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o3/2o .   x5/2*b ♦  20 |   30 |   12   0 | 120   *
.   o3o5/4x5/2*b ♦  20 |   60 |   12  12 |   * 120

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

o3/2o3/2o5x5/2*b

.   .   . .      | 600 |   12 |   12   6 |   4   4
-----------------+-----+------+----------+--------
.   .   . x      |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
.   o   . x5/2*b |   5 |    5 | 1440   * |   1   1
.   .   o5x      |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o3/2o   . x5/2*b ♦  20 |   30 |   12   0 | 120   *
.   o3/2o5x5/2*b ♦  20 |   60 |   12  12 |   * 120

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

o3/2o3/2o5/4x5/3*b

.   .   .   .      | 600 |   12 |   12   6 |   4   4
-------------------+-----+------+----------+--------
.   .   .   x      |   2 | 3600 |    2   1 |   1   2
-------------------+-----+------+----------+--------
.   o   .   x5/3*b |   5 |    5 | 1440   * |   1   1
.   .   o5/4x      |   5 |    5 |    * 720 |   0   2
-------------------+-----+------+----------+--------
o3/2o   .   x5/3*b ♦  20 |   30 |   12   0 | 120   *
.   o3/2o5/4x5/3*b ♦  20 |   60 |   12  12 |   * 120