Acronym quafdidoh
Name quasifacetodecadishexadecateron
Circumradius sqrt(21/8) = 1.620185
Coordinates (3, 3, 1, 1, 1)/sqrt(8)     & all permutations, all even changes of sign
Colonel of regiment sirhin
Face vector 160, 720, 960, 440, 52
External
links 		polytopewiki

Incidence matrix according to Dynkin symbol

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

o3x3x3o3o3/2*b

. . . . .      | 160 |   6   3 |   3  12   6   3 |  6  3  6  6  2  1 |  3  3  1  2
---------------+-----+---------+-----------------+-------------------+------------
. x . . .      |   2 | 480   * |   1   2   2   0 |  2  2  1  2  1  0 |  1  2  1  1
. . x . .      |   2 |   * 240 |   0   4   0   2 |  2  0  4  2  0  1 |  2  1  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x . . .      |   3 |   3   0 | 160   *   *   * |  2  2  0  0  0  0 |  1  2  1  0
. x3x . .      |   6 |   3   3 |   * 320   *   * |  1  0  1  1  0  0 |  1  1  0  1
. x . . o3/2*b |   3 |   3   0 |   *   * 320   * |  0  1  0  1  1  0 |  0  1  1  1
. . x3o .      |   3 |   0   3 |   *   *   * 160 |  0  0  2  0  0  1 |  1  0  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x3x . .      ♦  12 |  12   6 |   4   4   0   0 | 80  *  *  *  *  * |  1  1  0  0
o3x . . o3/2*b ♦   6 |  12   0 |   4   0   4   0 |  * 80  *  *  *  * |  0  1  1  0
. x3x3o .      ♦  12 |   6  12 |   0   4   0   4 |  *  * 80  *  *  * |  1  0  0  1
. x3x . o3/2*b ♦  12 |  12   6 |   0   4   4   0 |  *  *  * 80  *  * |  0  1  0  1
. x . o3o3/2*b ♦   4 |   6   0 |   0   0   4   0 |  *  *  *  * 80  * |  0  0  1  1
. . x3o3o      ♦   4 |   0   6 |   0   0   0   4 |  *  *  *  *  * 40 |  0  0  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x3x3o .      ♦  30 |  30  30 |  10  20   0  10 |  5  0  5  0  0  0 | 16  *  *  *
o3x3x . o3/2*b ♦  48 |  96  24 |  32  32  32   0 |  8  8  0  8  0  0 |  * 10  *  *
o3x . o3o3/2*b ♦  10 |  30   0 |  10   0  20   0 |  0  5  0  0  5  0 |  *  * 16  *
. x3x3o3o3/2*b ♦  32 |  48  48 |   0  32  32  32 |  0  0  8  8  8  8 |  *  *  * 10


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

o3x3x3o3/2o3*b

. . . .   .    | 160 |   6   3 |   3  12   6   3 |  6  3  6  6  2  1 |  3  3  1  2
---------------+-----+---------+-----------------+-------------------+------------
. x . .   .    |   2 | 480   * |   1   2   2   0 |  2  2  1  2  1  0 |  1  2  1  1
. . x .   .    |   2 |   * 240 |   0   4   0   2 |  2  0  4  2  0  1 |  2  1  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x . .   .    |   3 |   3   0 | 160   *   *   * |  2  2  0  0  0  0 |  1  2  1  0
. x3x .   .    |   6 |   3   3 |   * 320   *   * |  1  0  1  1  0  0 |  1  1  0  1
. x . .   o3*b |   3 |   3   0 |   *   * 320   * |  0  1  0  1  1  0 |  0  1  1  1
. . x3o   .    |   3 |   0   3 |   *   *   * 160 |  0  0  2  0  0  1 |  1  0  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x3x .   .    ♦  12 |  12   6 |   4   4   0   0 | 80  *  *  *  *  * |  1  1  0  0
o3x . .   o3*b ♦   6 |  12   0 |   4   0   4   0 |  * 80  *  *  *  * |  0  1  1  0
. x3x3o   .    ♦  12 |   6  12 |   0   4   0   4 |  *  * 80  *  *  * |  1  0  0  1
. x3x .   o3*b ♦  12 |  12   6 |   0   4   4   0 |  *  *  * 80  *  * |  0  1  0  1
. x . o3/2o3*b ♦   4 |   6   0 |   0   0   4   0 |  *  *  *  * 80  * |  0  0  1  1
. . x3o3/2o    ♦   4 |   0   6 |   0   0   0   4 |  *  *  *  *  * 40 |  0  0  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x3x3o   .    ♦  30 |  30  30 |  10  20   0  10 |  5  0  5  0  0  0 | 16  *  *  *
o3x3x .   o3*b ♦  48 |  96  24 |  32  32  32   0 |  8  8  0  8  0  0 |  * 10  *  *
o3x . o3/2o3*b ♦  10 |  30   0 |  10   0  20   0 |  0  5  0  0  5  0 |  *  * 16  *
. x3x3o3/2o3*b ♦  32 |  48  48 |   0  32  32  32 |  0  0  8  8  8  8 |  *  *  * 10


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

o3x3x3/2o3o3*b

. . .   . .    | 160 |   6   3 |   3  12   6   3 |  6  3  6  6  2  1 |  3  3  1  2
---------------+-----+---------+-----------------+-------------------+------------
. x .   . .    |   2 | 480   * |   1   2   2   0 |  2  2  1  2  1  0 |  1  2  1  1
. . x   . .    |   2 |   * 240 |   0   4   0   2 |  2  0  4  2  0  1 |  2  1  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x .   . .    |   3 |   3   0 | 160   *   *   * |  2  2  0  0  0  0 |  1  2  1  0
. x3x   . .    |   6 |   3   3 |   * 320   *   * |  1  0  1  1  0  0 |  1  1  0  1
. x .   . o3*b |   3 |   3   0 |   *   * 320   * |  0  1  0  1  1  0 |  0  1  1  1
. . x3/2o .    |   3 |   0   3 |   *   *   * 160 |  0  0  2  0  0  1 |  1  0  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x3x   . .    ♦  12 |  12   6 |   4   4   0   0 | 80  *  *  *  *  * |  1  1  0  0
o3x .   . o3*b ♦   6 |  12   0 |   4   0   4   0 |  * 80  *  *  *  * |  0  1  1  0
. x3x3/2o .    ♦  12 |   6  12 |   0   4   0   4 |  *  * 80  *  *  * |  1  0  0  1
. x3x   . o3*b ♦  12 |  12   6 |   0   4   4   0 |  *  *  * 80  *  * |  0  1  0  1
. x .   o3o3*b ♦   4 |   6   0 |   0   0   4   0 |  *  *  *  * 80  * |  0  0  1  1
. . x3/2o3o    ♦   4 |   0   6 |   0   0   0   4 |  *  *  *  *  * 40 |  0  0  0  2
---------------+-----+---------+-----------------+-------------------+------------
o3x3x3/2o .    ♦  30 |  30  30 |  10  20   0  10 |  5  0  5  0  0  0 | 16  *  *  *
o3x3x   . o3*b ♦  48 |  96  24 |  32  32  32   0 |  8  8  0  8  0  0 |  * 10  *  *
o3x .   o3o3*b ♦  10 |  30   0 |  10   0  20   0 |  0  5  0  0  5  0 |  *  * 16  *
. x3x3/2o3o3*b ♦  32 |  48  48 |   0  32  32  32 |  0  0  8  8  8  8 |  *  *  * 10


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

o3x3x3/2o3/2o3/2*b

. . .   .   .      | 160 |   6   3 |   3  12   6   3 |  6  3  6  6  2  1 |  3  3  1  2
-------------------+-----+---------+-----------------+-------------------+------------
. x .   .   .      |   2 | 480   * |   1   2   2   0 |  2  2  1  2  1  0 |  1  2  1  1
. . x   .   .      |   2 |   * 240 |   0   4   0   2 |  2  0  4  2  0  1 |  2  1  0  2
-------------------+-----+---------+-----------------+-------------------+------------
o3x .   .   .      |   3 |   3   0 | 160   *   *   * |  2  2  0  0  0  0 |  1  2  1  0
. x3x   .   .      |   6 |   3   3 |   * 320   *   * |  1  0  1  1  0  0 |  1  1  0  1
. x .   .   o3/2*b |   3 |   3   0 |   *   * 320   * |  0  1  0  1  1  0 |  0  1  1  1
. . x3/2o   .      |   3 |   0   3 |   *   *   * 160 |  0  0  2  0  0  1 |  1  0  0  2
-------------------+-----+---------+-----------------+-------------------+------------
o3x3x   .   .      ♦  12 |  12   6 |   4   4   0   0 | 80  *  *  *  *  * |  1  1  0  0
o3x .   .   o3/2*b ♦   6 |  12   0 |   4   0   4   0 |  * 80  *  *  *  * |  0  1  1  0
. x3x3/2o   .      ♦  12 |   6  12 |   0   4   0   4 |  *  * 80  *  *  * |  1  0  0  1
. x3x   .   o3/2*b ♦  12 |  12   6 |   0   4   4   0 |  *  *  * 80  *  * |  0  1  0  1
. x .   o3/2o3/2*b ♦   4 |   6   0 |   0   0   4   0 |  *  *  *  * 80  * |  0  0  1  1
. . x3/2o3/2o      ♦   4 |   0   6 |   0   0   0   4 |  *  *  *  *  * 40 |  0  0  0  2
-------------------+-----+---------+-----------------+-------------------+------------
o3x3x3/2o   .      ♦  30 |  30  30 |  10  20   0  10 |  5  0  5  0  0  0 | 16  *  *  *
o3x3x   .   o3/2*b ♦  48 |  96  24 |  32  32  32   0 |  8  8  0  8  0  0 |  * 10  *  *
o3x .   o3/2o3/2*b ♦  10 |  30   0 |  10   0  20   0 |  0  5  0  0  5  0 |  *  * 16  *
. x3x3/2o3/2o3/2*b ♦  32 |  48  48 |   0  32  32  32 |  0  0  8  8  8  8 |  *  *  * 10


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

o3/2x3x3o3o3/2*b

.   . . . .      | 160 |   6   3 |   3  12   6   3 |  6  3  6  6  2  1 |  3  3  1  2
-----------------+-----+---------+-----------------+-------------------+------------
.   x . . .      |   2 | 480   * |   1   2   2   0 |  2  2  1  2  1  0 |  1  2  1  1
.   . x . .      |   2 |   * 240 |   0   4   0   2 |  2  0  4  2  0  1 |  2  1  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x . . .      |   3 |   3   0 | 160   *   *   * |  2  2  0  0  0  0 |  1  2  1  0
.   x3x . .      |   6 |   3   3 |   * 320   *   * |  1  0  1  1  0  0 |  1  1  0  1
.   x . . o3/2*b |   3 |   3   0 |   *   * 320   * |  0  1  0  1  1  0 |  0  1  1  1
.   . x3o .      |   3 |   0   3 |   *   *   * 160 |  0  0  2  0  0  1 |  1  0  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x3x . .      ♦  12 |  12   6 |   4   4   0   0 | 80  *  *  *  *  * |  1  1  0  0
o3/2x . . o3/2*b ♦   6 |  12   0 |   4   0   4   0 |  * 80  *  *  *  * |  0  1  1  0
.   x3x3o .      ♦  12 |   6  12 |   0   4   0   4 |  *  * 80  *  *  * |  1  0  0  1
.   x3x . o3/2*b ♦  12 |  12   6 |   0   4   4   0 |  *  *  * 80  *  * |  0  1  0  1
.   x . o3o3/2*b ♦   4 |   6   0 |   0   0   4   0 |  *  *  *  * 80  * |  0  0  1  1
.   . x3o3o      ♦   4 |   0   6 |   0   0   0   4 |  *  *  *  *  * 40 |  0  0  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x3x3o .      ♦  30 |  30  30 |  10  20   0  10 |  5  0  5  0  0  0 | 16  *  *  *
o3/2x3x . o3/2*b ♦  48 |  96  24 |  32  32  32   0 |  8  8  0  8  0  0 |  * 10  *  *
o3/2x . o3o3/2*b ♦  10 |  30   0 |  10   0  20   0 |  0  5  0  0  5  0 |  *  * 16  *
.   x3x3o3o3/2*b ♦  32 |  48  48 |   0  32  32  32 |  0  0  8  8  8  8 |  *  *  * 10


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

o3/2x3x3o3/2o3*b

.   . . .   .    | 160 |   6   3 |   3  12   6   3 |  6  3  6  6  2  1 |  3  3  1  2
-----------------+-----+---------+-----------------+-------------------+------------
.   x . .   .    |   2 | 480   * |   1   2   2   0 |  2  2  1  2  1  0 |  1  2  1  1
.   . x .   .    |   2 |   * 240 |   0   4   0   2 |  2  0  4  2  0  1 |  2  1  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x . .   .    |   3 |   3   0 | 160   *   *   * |  2  2  0  0  0  0 |  1  2  1  0
.   x3x .   .    |   6 |   3   3 |   * 320   *   * |  1  0  1  1  0  0 |  1  1  0  1
.   x . .   o3*b |   3 |   3   0 |   *   * 320   * |  0  1  0  1  1  0 |  0  1  1  1
.   . x3o   .    |   3 |   0   3 |   *   *   * 160 |  0  0  2  0  0  1 |  1  0  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x3x .   .    ♦  12 |  12   6 |   4   4   0   0 | 80  *  *  *  *  * |  1  1  0  0
o3/2x . .   o3*b ♦   6 |  12   0 |   4   0   4   0 |  * 80  *  *  *  * |  0  1  1  0
.   x3x3o   .    ♦  12 |   6  12 |   0   4   0   4 |  *  * 80  *  *  * |  1  0  0  1
.   x3x .   o3*b ♦  12 |  12   6 |   0   4   4   0 |  *  *  * 80  *  * |  0  1  0  1
.   x . o3/2o3*b ♦   4 |   6   0 |   0   0   4   0 |  *  *  *  * 80  * |  0  0  1  1
.   . x3o3/2o    ♦   4 |   0   6 |   0   0   0   4 |  *  *  *  *  * 40 |  0  0  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x3x3o   .    ♦  30 |  30  30 |  10  20   0  10 |  5  0  5  0  0  0 | 16  *  *  *
o3/2x3x .   o3*b ♦  48 |  96  24 |  32  32  32   0 |  8  8  0  8  0  0 |  * 10  *  *
o3/2x . o3/2o3*b ♦  10 |  30   0 |  10   0  20   0 |  0  5  0  0  5  0 |  *  * 16  *
.   x3x3o3/2o3*b ♦  32 |  48  48 |   0  32  32  32 |  0  0  8  8  8  8 |  *  *  * 10


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

o3/2x3x3/2o3o3*b

.   . .   . .    | 160 |   6   3 |   3  12   6   3 |  6  3  6  6  2  1 |  3  3  1  2
-----------------+-----+---------+-----------------+-------------------+------------
.   x .   . .    |   2 | 480   * |   1   2   2   0 |  2  2  1  2  1  0 |  1  2  1  1
.   . x   . .    |   2 |   * 240 |   0   4   0   2 |  2  0  4  2  0  1 |  2  1  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x .   . .    |   3 |   3   0 | 160   *   *   * |  2  2  0  0  0  0 |  1  2  1  0
.   x3x   . .    |   6 |   3   3 |   * 320   *   * |  1  0  1  1  0  0 |  1  1  0  1
.   x .   . o3*b |   3 |   3   0 |   *   * 320   * |  0  1  0  1  1  0 |  0  1  1  1
.   . x3/2o .    |   3 |   0   3 |   *   *   * 160 |  0  0  2  0  0  1 |  1  0  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x3x   . .    ♦  12 |  12   6 |   4   4   0   0 | 80  *  *  *  *  * |  1  1  0  0
o3/2x .   . o3*b ♦   6 |  12   0 |   4   0   4   0 |  * 80  *  *  *  * |  0  1  1  0
.   x3x3/2o .    ♦  12 |   6  12 |   0   4   0   4 |  *  * 80  *  *  * |  1  0  0  1
.   x3x   . o3*b ♦  12 |  12   6 |   0   4   4   0 |  *  *  * 80  *  * |  0  1  0  1
.   x .   o3o3*b ♦   4 |   6   0 |   0   0   4   0 |  *  *  *  * 80  * |  0  0  1  1
.   . x3/2o3o    ♦   4 |   0   6 |   0   0   0   4 |  *  *  *  *  * 40 |  0  0  0  2
-----------------+-----+---------+-----------------+-------------------+------------
o3/2x3x3/2o .    ♦  30 |  30  30 |  10  20   0  10 |  5  0  5  0  0  0 | 16  *  *  *
o3/2x3x   . o3*b ♦  48 |  96  24 |  32  32  32   0 |  8  8  0  8  0  0 |  * 10  *  *
o3/2x .   o3o3*b ♦  10 |  30   0 |  10   0  20   0 |  0  5  0  0  5  0 |  *  * 16  *
.   x3x3/2o3o3*b ♦  32 |  48  48 |   0  32  32  32 |  0  0  8  8  8  8 |  *  *  * 10


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

o3/2x3x3/2o3/2o3/2*b

.   . .   .   .      | 160 |   6   3 |   3  12   6   3 |  6  3  6  6  2  1 |  3  3  1  2
---------------------+-----+---------+-----------------+-------------------+------------
.   x .   .   .      |   2 | 480   * |   1   2   2   0 |  2  2  1  2  1  0 |  1  2  1  1
.   . x   .   .      |   2 |   * 240 |   0   4   0   2 |  2  0  4  2  0  1 |  2  1  0  2
---------------------+-----+---------+-----------------+-------------------+------------
o3/2x .   .   .      |   3 |   3   0 | 160   *   *   * |  2  2  0  0  0  0 |  1  2  1  0
.   x3x   .   .      |   6 |   3   3 |   * 320   *   * |  1  0  1  1  0  0 |  1  1  0  1
.   x .   .   o3/2*b |   3 |   3   0 |   *   * 320   * |  0  1  0  1  1  0 |  0  1  1  1
.   . x3/2o   .      |   3 |   0   3 |   *   *   * 160 |  0  0  2  0  0  1 |  1  0  0  2
---------------------+-----+---------+-----------------+-------------------+------------
o3/2x3x   .   .      ♦  12 |  12   6 |   4   4   0   0 | 80  *  *  *  *  * |  1  1  0  0
o3/2x .   .   o3/2*b ♦   6 |  12   0 |   4   0   4   0 |  * 80  *  *  *  * |  0  1  1  0
.   x3x3/2o   .      ♦  12 |   6  12 |   0   4   0   4 |  *  * 80  *  *  * |  1  0  0  1
.   x3x   .   o3/2*b ♦  12 |  12   6 |   0   4   4   0 |  *  *  * 80  *  * |  0  1  0  1
.   x .   o3/2o3/2*b ♦   4 |   6   0 |   0   0   4   0 |  *  *  *  * 80  * |  0  0  1  1
.   . x3/2o3/2o      ♦   4 |   0   6 |   0   0   0   4 |  *  *  *  *  * 40 |  0  0  0  2
---------------------+-----+---------+-----------------+-------------------+------------
o3/2x3x3/2o   .      ♦  30 |  30  30 |  10  20   0  10 |  5  0  5  0  0  0 | 16  *  *  *
o3/2x3x   .   o3/2*b ♦  48 |  96  24 |  32  32  32   0 |  8  8  0  8  0  0 |  * 10  *  *
o3/2x .   o3/2o3/2*b ♦  10 |  30   0 |  10   0  20   0 |  0  5  0  0  5  0 |  *  * 16  *
.   x3x3/2o3/2o3/2*b ♦  32 |  48  48 |   0  32  32  32 |  0  0  8  8  8  8 |  *  *  * 10

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