Acronym ripperhin
Name retroprismatorhombidemipenteract
Circumradius sqrt(37/8) = 2.150581
Coordinates (5, 3, 1, 1, 1)/sqrt(8)   & all permutations, all changes of sign
Colonel of regiment pirhin
Face vector 320, 1120, 1360, 640, 92
Confer
general polytopal classes:
Wythoffian polytera  
External
links 		polytopewiki

Incidence matrix according to Dynkin symbol

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

x3x3x3o3o3/2*b

. . . . .      | 320 |   1   3   3 |   3   3   6   3   3 |  6  3   3  3  3  1  1 |  3  3  1  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x . . . .      |   2 | 160   *   * |   3   3   0   0   0 |  6  3   3  0  0  0  0 |  3  3  1  1  0
. x . . .      |   2 |   * 480   * |   1   0   2   2   0 |  2  2   0  1  2  1  0 |  1  2  1  0  1
. . x . .      |   2 |   *   * 480 |   0   1   2   0   2 |  2  0   2  2  1  0  1 |  2  1  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x . . .      |   6 |   3   3   0 | 160   *   *   *   * |  2  2   0  0  0  0  0 |  1  2  1  0  0
x . x . .      |   4 |   2   0   2 |   * 240   *   *   * |  2  0   2  0  0  0  0 |  2  1  0  1  0
. x3x . .      |   6 |   0   3   3 |   *   * 320   *   * |  1  0   0  1  1  0  0 |  1  1  0  0  1
. x . . o3/2*b |   3 |   0   3   0 |   *   *   * 320   * |  0  1   0  0  1  1  0 |  0  1  1  0  1
. . x3o .      |   3 |   0   0   3 |   *   *   *   * 320 |  0  0   1  1  0  0  1 |  1  0  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x3x . .      ♦  24 |  12  12  12 |   4   6   4   0   0 | 80  *   *  *  *  *  * |  1  1  0  0  0
x3x . . o3/2*b ♦  12 |   6  12   0 |   4   0   0   4   0 |  * 80   *  *  *  *  * |  0  1  1  0  0
x . x3o .      ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 160  *  *  *  * |  1  0  0  1  0
. x3x3o .      ♦  12 |   0   6  12 |   0   0   4   0   4 |  *  *   * 80  *  *  * |  1  0  0  0  1
. x3x . o3/2*b ♦  12 |   0  12   6 |   0   0   4   4   0 |  *  *   *  * 80  *  * |  0  1  0  0  1
. x . o3o3/2*b ♦   4 |   0   6   0 |   0   0   0   4   0 |  *  *   *  *  * 80  * |  0  0  1  0  1
. . x3o3o      ♦   4 |   0   0   6 |   0   0   0   0   4 |  *  *   *  *  *  * 80 |  0  0  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x3x3o .      ♦  60 |  30  30  60 |  10  30  20   0  20 |  5  0  10  5  0  0  0 | 16  *  *  *  *
x3x3x . o3/2*b ♦  96 |  48  96  48 |  32  24  32  32   0 |  8  8   0  0  8  0  0 |  * 10  *  *  *
x3x . o3o3/2*b ♦  20 |  10  30   0 |  10   0   0  20   0 |  0  5   0  0  0  5  0 |  *  * 16  *  *
x . x3o3o      ♦   8 |   4   0  12 |   0   6   0   0   8 |  0  0   4  0  0  0  2 |  *  *  * 40  *
. x3x3o3o3/2*b ♦  32 |   0  48  48 |   0   0  32  32  32 |  0  0   0  8  8  8  8 |  *  *  *  * 10


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

x3x3x3o3/2o3*b

. . . .   .    | 320 |   1   3   3 |   3   3   6   3   3 |  6  3   3  3  3  1  1 |  3  3  1  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x . . .   .    |   2 | 160   *   * |   3   3   0   0   0 |  6  3   3  0  0  0  0 |  3  3  1  1  0
. x . .   .    |   2 |   * 480   * |   1   0   2   2   0 |  2  2   0  1  2  1  0 |  1  2  1  0  1
. . x .   .    |   2 |   *   * 480 |   0   1   2   0   2 |  2  0   2  2  1  0  1 |  2  1  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x . .   .    |   6 |   3   3   0 | 160   *   *   *   * |  2  2   0  0  0  0  0 |  1  2  1  0  0
x . x .   .    |   4 |   2   0   2 |   * 240   *   *   * |  2  0   2  0  0  0  0 |  2  1  0  1  0
. x3x .   .    |   6 |   0   3   3 |   *   * 320   *   * |  1  0   0  1  1  0  0 |  1  1  0  0  1
. x . .   o3*b |   3 |   0   3   0 |   *   *   * 320   * |  0  1   0  0  1  1  0 |  0  1  1  0  1
. . x3o   .    |   3 |   0   0   3 |   *   *   *   * 320 |  0  0   1  1  0  0  1 |  1  0  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x3x .   .    ♦  24 |  12  12  12 |   4   6   4   0   0 | 80  *   *  *  *  *  * |  1  1  0  0  0
x3x . .   o3*b ♦  12 |   6  12   0 |   4   0   0   4   0 |  * 80   *  *  *  *  * |  0  1  1  0  0
x . x3o   .    ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 160  *  *  *  * |  1  0  0  1  0
. x3x3o   .    ♦  12 |   0   6  12 |   0   0   4   0   4 |  *  *   * 80  *  *  * |  1  0  0  0  1
. x3x .   o3*b ♦  12 |   0  12   6 |   0   0   4   4   0 |  *  *   *  * 80  *  * |  0  1  0  0  1
. x . o3/2o3*b ♦   4 |   0   6   0 |   0   0   0   4   0 |  *  *   *  *  * 80  * |  0  0  1  0  1
. . x3o3/2o    ♦   4 |   0   0   6 |   0   0   0   0   4 |  *  *   *  *  *  * 80 |  0  0  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x3x3o   .    ♦  60 |  30  30  60 |  10  30  20   0  20 |  5  0  10  5  0  0  0 | 16  *  *  *  *
x3x3x .   o3*b ♦  96 |  48  96  48 |  32  24  32  32   0 |  8  8   0  0  8  0  0 |  * 10  *  *  *
x3x . o3/2o3*b ♦  20 |  10  30   0 |  10   0   0  20   0 |  0  5   0  0  0  5  0 |  *  * 16  *  *
x . x3o3/2o    ♦   8 |   4   0  12 |   0   6   0   0   8 |  0  0   4  0  0  0  2 |  *  *  * 40  *
. x3x3o3/2o3*b ♦  32 |   0  48  48 |   0   0  32  32  32 |  0  0   0  8  8  8  8 |  *  *  *  * 10


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

x3x3x3/2o3o3*b

. . .   . .    | 320 |   1   3   3 |   3   3   6   3   3 |  6  3   3  3  3  1  1 |  3  3  1  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x . .   . .    |   2 | 160   *   * |   3   3   0   0   0 |  6  3   3  0  0  0  0 |  3  3  1  1  0
. x .   . .    |   2 |   * 480   * |   1   0   2   2   0 |  2  2   0  1  2  1  0 |  1  2  1  0  1
. . x   . .    |   2 |   *   * 480 |   0   1   2   0   2 |  2  0   2  2  1  0  1 |  2  1  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x .   . .    |   6 |   3   3   0 | 160   *   *   *   * |  2  2   0  0  0  0  0 |  1  2  1  0  0
x . x   . .    |   4 |   2   0   2 |   * 240   *   *   * |  2  0   2  0  0  0  0 |  2  1  0  1  0
. x3x   . .    |   6 |   0   3   3 |   *   * 320   *   * |  1  0   0  1  1  0  0 |  1  1  0  0  1
. x .   . o3*b |   3 |   0   3   0 |   *   *   * 320   * |  0  1   0  0  1  1  0 |  0  1  1  0  1
. . x3/2o .    |   3 |   0   0   3 |   *   *   *   * 320 |  0  0   1  1  0  0  1 |  1  0  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x3x   . .    ♦  24 |  12  12  12 |   4   6   4   0   0 | 80  *   *  *  *  *  * |  1  1  0  0  0
x3x .   . o3*b ♦  12 |   6  12   0 |   4   0   0   4   0 |  * 80   *  *  *  *  * |  0  1  1  0  0
x . x3/2o .    ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 160  *  *  *  * |  1  0  0  1  0
. x3x3/2o .    ♦  12 |   0   6  12 |   0   0   4   0   4 |  *  *   * 80  *  *  * |  1  0  0  0  1
. x3x   . o3*b ♦  12 |   0  12   6 |   0   0   4   4   0 |  *  *   *  * 80  *  * |  0  1  0  0  1
. x .   o3o3*b ♦   4 |   0   6   0 |   0   0   0   4   0 |  *  *   *  *  * 80  * |  0  0  1  0  1
. . x3/2o3o    ♦   4 |   0   0   6 |   0   0   0   0   4 |  *  *   *  *  *  * 80 |  0  0  0  1  1
---------------+-----+-------------+---------------------+-----------------------+---------------
x3x3x3/2o .    ♦  60 |  30  30  60 |  10  30  20   0  20 |  5  0  10  5  0  0  0 | 16  *  *  *  *
x3x3x   . o3*b ♦  96 |  48  96  48 |  32  24  32  32   0 |  8  8   0  0  8  0  0 |  * 10  *  *  *
x3x .   o3o3*b ♦  20 |  10  30   0 |  10   0   0  20   0 |  0  5   0  0  0  5  0 |  *  * 16  *  *
x . x3/2o3o    ♦   8 |   4   0  12 |   0   6   0   0   8 |  0  0   4  0  0  0  2 |  *  *  * 40  *
. x3x3/2o3o3*b ♦  32 |   0  48  48 |   0   0  32  32  32 |  0  0   0  8  8  8  8 |  *  *  *  * 10


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

x3x3x3/2o3/2o3/2*b

. . .   .   .      | 320 |   1   3   3 |   3   3   6   3   3 |  6  3   3  3  3  1  1 |  3  3  1  1  1
-------------------+-----+-------------+---------------------+-----------------------+---------------
x . .   .   .      |   2 | 160   *   * |   3   3   0   0   0 |  6  3   3  0  0  0  0 |  3  3  1  1  0
. x .   .   .      |   2 |   * 480   * |   1   0   2   2   0 |  2  2   0  1  2  1  0 |  1  2  1  0  1
. . x   .   .      |   2 |   *   * 480 |   0   1   2   0   2 |  2  0   2  2  1  0  1 |  2  1  0  1  1
-------------------+-----+-------------+---------------------+-----------------------+---------------
x3x .   .   .      |   6 |   3   3   0 | 160   *   *   *   * |  2  2   0  0  0  0  0 |  1  2  1  0  0
x . x   .   .      |   4 |   2   0   2 |   * 240   *   *   * |  2  0   2  0  0  0  0 |  2  1  0  1  0
. x3x   .   .      |   6 |   0   3   3 |   *   * 320   *   * |  1  0   0  1  1  0  0 |  1  1  0  0  1
. x .   .   o3/2*b |   3 |   0   3   0 |   *   *   * 320   * |  0  1   0  0  1  1  0 |  0  1  1  0  1
. . x3/2o   .      |   3 |   0   0   3 |   *   *   *   * 320 |  0  0   1  1  0  0  1 |  1  0  0  1  1
-------------------+-----+-------------+---------------------+-----------------------+---------------
x3x3x   .   .      ♦  24 |  12  12  12 |   4   6   4   0   0 | 80  *   *  *  *  *  * |  1  1  0  0  0
x3x .   .   o3/2*b ♦  12 |   6  12   0 |   4   0   0   4   0 |  * 80   *  *  *  *  * |  0  1  1  0  0
x . x3/2o   .      ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 160  *  *  *  * |  1  0  0  1  0
. x3x3/2o   .      ♦  12 |   0   6  12 |   0   0   4   0   4 |  *  *   * 80  *  *  * |  1  0  0  0  1
. x3x   .   o3/2*b ♦  12 |   0  12   6 |   0   0   4   4   0 |  *  *   *  * 80  *  * |  0  1  0  0  1
. x .   o3/2o3/2*b ♦   4 |   0   6   0 |   0   0   0   4   0 |  *  *   *  *  * 80  * |  0  0  1  0  1
. . x3/2o3/2o      ♦   4 |   0   0   6 |   0   0   0   0   4 |  *  *   *  *  *  * 80 |  0  0  0  1  1
-------------------+-----+-------------+---------------------+-----------------------+---------------
x3x3x3/2o   .      ♦  60 |  30  30  60 |  10  30  20   0  20 |  5  0  10  5  0  0  0 | 16  *  *  *  *
x3x3x   .   o3/2*b ♦  96 |  48  96  48 |  32  24  32  32   0 |  8  8   0  0  8  0  0 |  * 10  *  *  *
x3x .   o3/2o3/2*b ♦  20 |  10  30   0 |  10   0   0  20   0 |  0  5   0  0  0  5  0 |  *  * 16  *  *
x . x3/2o3/2o      ♦   8 |   4   0  12 |   0   6   0   0   8 |  0  0   4  0  0  0  2 |  *  *  * 40  *
. x3x3/2o3/2o3/2*b ♦  32 |   0  48  48 |   0   0  32  32  32 |  0  0   0  8  8  8  8 |  *  *  *  * 10

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