Acronym	sadixady
Name	small dishexacosadishecatonicosachoron
Cross sections	©
Circumradius	sqrt[(13-3 sqrt(5))/2] = 1.773668
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gissid sidditdid tet tiggy tut sidthixhi 120 120 600 0 0 sadixady 120 0 600 120 600 & others)
Face vector	2400, 7200, 6240, 1440
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sadixady is isomorphic to gadixady, thereby replacing the pentagrams by pentagons, resp. replacing gissid by doe and tiggy by ti.

Incidence matrix according to Dynkin symbol

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

x3x3o3o5/2*a

. . . .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
-------------+------+-----------+----------------+----------------
x . . .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x . .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
-------------+------+-----------+----------------+----------------
x3x . .      |    6 |    3    3 | 2400    *    * |   1   1   0   0
x . . o5/2*a |    5 |    5    0 |    * 1440    * |   0   1   1   0
. x3o .      |    3 |    0    3 |    *    * 2400 |   1   0   0   1
-------------+------+-----------+----------------+----------------
x3x3o .      ♦   12 |    6   12 |    4    0    4 | 600   *   *   *
x3x . o5/2*a ♦   60 |   60   30 |   20   12    0 |   * 120   *   *
x . o3o5/2*a ♦   20 |   30    0 |    0   12    0 |   *   * 120   *
. x3o3o      ♦    4 |    0    6 |    0    0    6 |   *   *   * 600

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

x3x3o3/2o5/3*a

. . .   .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
---------------+------+-----------+----------------+----------------
x . .   .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x .   .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
---------------+------+-----------+----------------+----------------
x3x .   .      |    6 |    3    3 | 2400    *    * |   1   1   0   0
x . .   o5/3*a |    5 |    5    0 |    * 1440    * |   0   1   1   0
. x3o   .      |    3 |    0    3 |    *    * 2400 |   1   0   0   1
---------------+------+-----------+----------------+----------------
x3x3o   .      ♦   12 |    6   12 |    4    0    4 | 600   *   *   *
x3x .   o5/3*a ♦   60 |   60   30 |   20   12    0 |   * 120   *   *
x . o3/2o5/3*a ♦   20 |   30    0 |    0   12    0 |   *   * 120   *
. x3o3/2o      ♦    4 |    0    6 |    0    0    6 |   *   *   * 600

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

x3x3/2o3o5/3*a

. .   . .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
---------------+------+-----------+----------------+----------------
x .   . .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x   . .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
---------------+------+-----------+----------------+----------------
x3x   . .      |    6 |    3    3 | 2400    *    * |   1   1   0   0
x .   . o5/3*a |    5 |    5    0 |    * 1440    * |   0   1   1   0
. x3/2o .      |    3 |    0    3 |    *    * 2400 |   1   0   0   1
---------------+------+-----------+----------------+----------------
x3x3/2o .      ♦   12 |    6   12 |    4    0    4 | 600   *   *   *
x3x   . o5/3*a ♦   60 |   60   30 |   20   12    0 |   * 120   *   *
x .   o3o5/3*a ♦   20 |   30    0 |    0   12    0 |   *   * 120   *
. x3/2o3o      ♦    4 |    0    6 |    0    0    6 |   *   *   * 600

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

x3x3/2o3/2o5/2*a

. .   .   .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
-----------------+------+-----------+----------------+----------------
x .   .   .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x   .   .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
-----------------+------+-----------+----------------+----------------
x3x   .   .      |    6 |    3    3 | 2400    *    * |   1   1   0   0
x .   .   o5/2*a |    5 |    5    0 |    * 1440    * |   0   1   1   0
. x3/2o   .      |    3 |    0    3 |    *    * 2400 |   1   0   0   1
-----------------+------+-----------+----------------+----------------
x3x3/2o   .      ♦   12 |    6   12 |    4    0    4 | 600   *   *   *
x3x   .   o5/2*a ♦   60 |   60   30 |   20   12    0 |   * 120   *   *
x .   o3/2o5/2*a ♦   20 |   30    0 |    0   12    0 |   *   * 120   *
. x3/2o3/2o      ♦    4 |    0    6 |    0    0    6 |   *   *   * 600