Acronym	wavdatixady
Name	sphenoverted ditrigonary hexacosadishecatonicosachoron
Circumradius	sqrt[15-6 sqrt(5)] = 1.258409
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gidditdid giid oct quit gissid tut wavdatixady 120 0 600 120 0 rawvhiddix 0 120 600 0 600 & others)
Face vector	3600, 10800, 6960, 840
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope wavdatixady is isomorphic to rawvid tixady, thereby replacing pentagons by pentagrams and decagrams by decagons, respectively quit gissid by tid and gidditdid by sidditdid.

Incidence matrix according to Dynkin symbol

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

o3x3o5x5/3*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
. x3o .      |    3 |    3    0 |    * 2400    *   * |   1   0   1
. x . x5/3*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
. . o5x      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-------------+------+-----------+--------------------+------------
o3x3o .      ♦    6 |   12    0 |    4    4    0   0 | 600   *   *
o3x . x5/3*b ♦   60 |   60   30 |   20    0   12   0 |   * 120   *
. x3o5x5/3*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

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

o3x3/2o5/4x5/3*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
. x3/2o   .      |    3 |    3    0 |    * 2400    *   * |   1   0   1
. x   .   x5/3*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
. .   o5/4x      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o3x3/2o   .      ♦    6 |   12    0 |    4    4    0   0 | 600   *   *
o3x   .   x5/3*b ♦   60 |   60   30 |   20    0   12   0 |   * 120   *
. x3/2o5/4x5/3*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

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

o3/2x3o5x5/3*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
.   x3o .      |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x . x5/3*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   . o5x      |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o3/2x3o .      ♦    6 |   12    0 |    4    4    0   0 | 600   *   *
o3/2x . x5/3*b ♦   60 |   60   30 |   20    0   12   0 |   * 120   *
.   x3o5x5/3*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

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

o3/2x3/2o5/4x5/3*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
.   x3/2o   .      |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x   .   x5/3*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   .   o5/4x      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-------------------+------+-----------+--------------------+------------
o3/2x3/2o   .      ♦    6 |   12    0 |    4    4    0   0 | 600   *   *
o3/2x   .   x5/3*b ♦   60 |   60   30 |   20    0   12   0 |   * 120   *
.   x3/2o5/4x5/3*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120