Acronym	wavaty
Name	sphenoverted triakisicositetrachoron
Cross sections	©
Circumradius	sqrt[4-2 sqrt(2)] = 1.082392
General of army	srico
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co gocco querco quitco quith trip wavaty 24 24 0 0 24 0 inti 24 0 24 24 24 0 qrico 24 0 24 0 0 96 & others)
Face vector	288, 864, 576, 72
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope wavaty is isomorphic to rawvaty, thereby replacing octagrams by octagons, and thus quith by tic and gocco by socco.

Incidence matrix according to Dynkin symbol

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

o3x4o3x4/3*b

. . . .      | 288 |   4   2 |   2   2   4  1 |  1  2  2
-------------+-----+---------+----------------+---------
. x . .      |   2 | 576   * |   1   1   1  0 |  1  1  1
. . . x      |   2 |   * 288 |   0   0   2  1 |  0  1  2
-------------+-----+---------+----------------+---------
o3x . .      |   3 |   3   0 | 192   *   *  * |  1  1  0
. x4o .      |   4 |   4   0 |   * 144   *  * |  1  0  1
. x . x4/3*b |   8 |   4   4 |   *   * 144  * |  0  1  1
. . o3x      |   3 |   0   3 |   *   *   * 96 |  0  0  2
-------------+-----+---------+----------------+---------
o3x4o .      ♦  12 |  24   0 |   8   6   0  0 | 24  *  *
o3x . x4/3*b ♦  24 |  24  12 |   8   0   6  0 |  * 24  *
. x4o3x4/3*b ♦  24 |  24  24 |   0   6   6  8 |  *  * 24

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

o3x4/3o3/2x4/3*b

. .   .   .      | 288 |   4   2 |   2   2   4  1 |  1  2  2
-----------------+-----+---------+----------------+---------
. x   .   .      |   2 | 576   * |   1   1   1  0 |  1  1  1
. .   .   x      |   2 |   * 288 |   0   0   2  1 |  0  1  2
-----------------+-----+---------+----------------+---------
o3x   .   .      |   3 |   3   0 | 192   *   *  * |  1  1  0
. x4/3o   .      |   4 |   4   0 |   * 144   *  * |  1  0  1
. x   .   x4/3*b |   8 |   4   4 |   *   * 144  * |  0  1  1
. .   o3/2x      |   3 |   0   3 |   *   *   * 96 |  0  0  2
-----------------+-----+---------+----------------+---------
o3x4/3o   .      ♦  12 |  24   0 |   8   6   0  0 | 24  *  *
o3x   .   x4/3*b ♦  24 |  24  12 |   8   0   6  0 |  * 24  *
. x4/3o3/2x4/3*b ♦  24 |  24  24 |   0   6   6  8 |  *  * 24

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

o3/2x4o3x4/3*b

.   . . .      | 288 |   4   2 |   2   2   4  1 |  1  2  2
---------------+-----+---------+----------------+---------
.   x . .      |   2 | 576   * |   1   1   1  0 |  1  1  1
.   . . x      |   2 |   * 288 |   0   0   2  1 |  0  1  2
---------------+-----+---------+----------------+---------
o3/2x . .      |   3 |   3   0 | 192   *   *  * |  1  1  0
.   x4o .      |   4 |   4   0 |   * 144   *  * |  1  0  1
.   x . x4/3*b |   8 |   4   4 |   *   * 144  * |  0  1  1
.   . o3x      |   3 |   0   3 |   *   *   * 96 |  0  0  2
---------------+-----+---------+----------------+---------
o3/2x4o .      ♦  12 |  24   0 |   8   6   0  0 | 24  *  *
o3/2x . x4/3*b ♦  24 |  24  12 |   8   0   6  0 |  * 24  *
.   x4o3x4/3*b ♦  24 |  24  24 |   0   6   6  8 |  *  * 24

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

o3/2x4/3o3/2x4/3*b

.   .   .   .      | 288 |   4   2 |   2   2   4  1 |  1  2  2
-------------------+-----+---------+----------------+---------
.   x   .   .      |   2 | 576   * |   1   1   1  0 |  1  1  1
.   .   .   x      |   2 |   * 288 |   0   0   2  1 |  0  1  2
-------------------+-----+---------+----------------+---------
o3/2x   .   .      |   3 |   3   0 | 192   *   *  * |  1  1  0
.   x4/3o   .      |   4 |   4   0 |   * 144   *  * |  1  0  1
.   x   .   x4/3*b |   8 |   4   4 |   *   * 144  * |  0  1  1
.   .   o3/2x      |   3 |   0   3 |   *   *   * 96 |  0  0  2
-------------------+-----+---------+----------------+---------
o3/2x4/3o   .      ♦  12 |  24   0 |   8   6   0  0 | 24  *  *
o3/2x   .   x4/3*b ♦  24 |  24  12 |   8   0   6  0 |  * 24  *
.   x4/3o3/2x4/3*b ♦  24 |  24  24 |   0   6   6  8 |  *  * 24