Acronym ripthin
Name retroprismatotruncatodemipenteract
Circumradius sqrt(45/8) = 2.371708
Coordinates (5, 3, 3, 1, 1)/sqrt(8)     & all permutations, all even changes of sign
Colonel of regiment pithin
Face vector 480, 1680, 1680, 560, 52
Confer
general polytopal classes:
Wythoffian polytera  
External
links 		polytopewiki  

Incidence matrix according to Dynkin symbol

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

x3x3x3/2o3*b3o

. . .   .    . | 480 |   1   4   2 |   4   2   4   2   2   1 |  4  2  2  1  2  2  1 |  2  2  1  1
---------------+-----+-------------+-------------------------+----------------------+------------
x . .   .    . |   2 | 240   *   * |   4   2   0   0   0   0 |  4  2  2  1  0  0  0 |  2  2  1  0
. x .   .    . |   2 |   * 960   * |   1   0   1   1   1   0 |  1  1  1  0  1  1  1 |  1  1  1  1
. . x   .    . |   2 |   *   * 480 |   0   1   2   0   0   1 |  2  0  0  1  2  1  0 |  2  1  0  1
---------------+-----+-------------+-------------------------+----------------------+------------
x3x .   .    . |   6 |   3   3   0 | 320   *   *   *   *   * |  1  1  1  0  0  0  0 |  1  1  1  0
x . x   .    . |   4 |   2   0   2 |   * 240   *   *   *   * |  2  0  0  1  0  0  0 |  2  1  0  0
. x3x   .    . |   6 |   0   3   3 |   *   * 320   *   *   * |  1  0  0  0  1  1  0 |  1  1  0  1
. x .   o3*b . |   3 |   0   3   0 |   *   *   * 320   *   * |  0  1  0  0  1  0  1 |  1  0  1  1
. x .   . *b3o |   3 |   0   3   0 |   *   *   *   * 320   * |  0  0  1  0  0  1  1 |  0  1  1  1
. . x3/2o    . |   3 |   0   0   3 |   *   *   *   *   * 160 |  0  0  0  1  2  0  0 |  2  0  0  1
---------------+-----+-------------+-------------------------+----------------------+------------
x3x3x   .    . ♦  24 |  12  12  12 |   4   6   4   0   0   0 | 80  *  *  *  *  *  * |  1  1  0  0
x3x .   o3*b . ♦  12 |   6  12   0 |   4   0   0   4   0   0 |  * 80  *  *  *  *  * |  1  0  1  0
x3x .   . *b3o ♦  12 |   6  12   0 |   4   0   0   0   4   0 |  *  * 80  *  *  *  * |  0  1  1  0
x . x3/2o    . ♦   6 |   3   0   6 |   0   3   0   0   0   2 |  *  *  * 80  *  *  * |  2  0  0  0
. x3x3/2o3*b . ♦  12 |   0  12  12 |   0   0   4   4   0   4 |  *  *  *  * 80  *  * |  1  0  0  1
. x3x   . *b3o ♦  12 |   0  12   6 |   0   0   4   0   4   0 |  *  *  *  *  * 80  * |  0  1  0  1
. x .   o3*b3o ♦   6 |   0  12   0 |   0   0   0   4   4   0 |  *  *  *  *  *  * 80 |  0  0  1  1
---------------+-----+-------------+-------------------------+----------------------+------------
x3x3x3/2o3*b . ♦  60 |  30  60  60 |  20  30  20  20   0  20 |  5  5  0 10  5  0  0 | 16  *  *  *
x3x3x   . *b3o ♦  96 |  48  96  48 |  32  24  32   0  32   0 |  8  0  8  0  0  8  0 |  * 10  *  *
x3x .   o3*b3o ♦  48 |  24  96   0 |  32   0   0  32  32   0 |  0  8  8  0  0  0  8 |  *  * 10  *
. x3x3/2o3*b3o ♦  30 |   0  60  30 |   0   0  20  20  20  10 |  0  0  0  0  5  5  5 |  *  *  * 16


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

x3x3x3o3/2*b3o

. . . .      . | 480 |   1   4   2 |   4   2   4   2   2   1 |  4  2  2  1  2  2  1 |  2  2  1  1
---------------+-----+-------------+-------------------------+----------------------+------------
x . . .      . |   2 | 240   *   * |   4   2   0   0   0   0 |  4  2  2  1  0  0  0 |  2  2  1  0
. x . .      . |   2 |   * 960   * |   1   0   1   1   1   0 |  1  1  1  0  1  1  1 |  1  1  1  1
. . x .      . |   2 |   *   * 480 |   0   1   2   0   0   1 |  2  0  0  1  2  1  0 |  2  1  0  1
---------------+-----+-------------+-------------------------+----------------------+------------
x3x . .      . |   6 |   3   3   0 | 320   *   *   *   *   * |  1  1  1  0  0  0  0 |  1  1  1  0
x . x .      . |   4 |   2   0   2 |   * 240   *   *   *   * |  2  0  0  1  0  0  0 |  2  1  0  0
. x3x .      . |   6 |   0   3   3 |   *   * 320   *   *   * |  1  0  0  0  1  1  0 |  1  1  0  1
. x . o3/2*b . |   3 |   0   3   0 |   *   *   * 320   *   * |  0  1  0  0  1  0  1 |  1  0  1  1
. x . .   *b3o |   3 |   0   3   0 |   *   *   *   * 320   * |  0  0  1  0  0  1  1 |  0  1  1  1
. . x3o      . |   3 |   0   0   3 |   *   *   *   *   * 160 |  0  0  0  1  2  0  0 |  2  0  0  1
---------------+-----+-------------+-------------------------+----------------------+------------
x3x3x .      . ♦  24 |  12  12  12 |   4   6   4   0   0   0 | 80  *  *  *  *  *  * |  1  1  0  0
x3x . o3/2*b . ♦  12 |   6  12   0 |   4   0   0   4   0   0 |  * 80  *  *  *  *  * |  1  0  1  0
x3x . .   *b3o ♦  12 |   6  12   0 |   4   0   0   0   4   0 |  *  * 80  *  *  *  * |  0  1  1  0
x . x3o      . ♦   6 |   3   0   6 |   0   3   0   0   0   2 |  *  *  * 80  *  *  * |  2  0  0  0
. x3x3o3/2*b . ♦  12 |   0  12  12 |   0   0   4   4   0   4 |  *  *  *  * 80  *  * |  1  0  0  1
. x3x .   *b3o ♦  12 |   0  12   6 |   0   0   4   0   4   0 |  *  *  *  *  * 80  * |  0  1  0  1
. x . o3/2*b3o ♦   6 |   0  12   0 |   0   0   0   4   4   0 |  *  *  *  *  *  * 80 |  0  0  1  1
---------------+-----+-------------+-------------------------+----------------------+------------
x3x3x3o3/2*b . ♦  60 |  30  60  60 |  20  30  20  20   0  20 |  5  5  0 10  5  0  0 | 16  *  *  *
x3x3x .   *b3o ♦  96 |  48  96  48 |  32  24  32   0  32   0 |  8  0  8  0  0  8  0 |  * 10  *  *
x3x . o3/2*b3o ♦  48 |  24  96   0 |  32   0   0  32  32   0 |  0  8  8  0  0  0  8 |  *  * 10  *
. x3x3o3/2*b3o ♦  30 |   0  60  30 |   0   0  20  20  20  10 |  0  0  0  0  5  5  5 |  *  *  * 16


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

x3x3x3/2o3*b3/2o

. . .   .      . | 480 |   1   4   2 |   4   2   4   2   2   1 |  4  2  2  1  2  2  1 |  2  2  1  1
-----------------+-----+-------------+-------------------------+----------------------+------------
x . .   .      . |   2 | 240   *   * |   4   2   0   0   0   0 |  4  2  2  1  0  0  0 |  2  2  1  0
. x .   .      . |   2 |   * 960   * |   1   0   1   1   1   0 |  1  1  1  0  1  1  1 |  1  1  1  1
. . x   .      . |   2 |   *   * 480 |   0   1   2   0   0   1 |  2  0  0  1  2  1  0 |  2  1  0  1
-----------------+-----+-------------+-------------------------+----------------------+------------
x3x .   .      . |   6 |   3   3   0 | 320   *   *   *   *   * |  1  1  1  0  0  0  0 |  1  1  1  0
x . x   .      . |   4 |   2   0   2 |   * 240   *   *   *   * |  2  0  0  1  0  0  0 |  2  1  0  0
. x3x   .      . |   6 |   0   3   3 |   *   * 320   *   *   * |  1  0  0  0  1  1  0 |  1  1  0  1
. x .   o3*b   . |   3 |   0   3   0 |   *   *   * 320   *   * |  0  1  0  0  1  0  1 |  1  0  1  1
. x .   . *b3/2o |   3 |   0   3   0 |   *   *   *   * 320   * |  0  0  1  0  0  1  1 |  0  1  1  1
. . x3/2o      . |   3 |   0   0   3 |   *   *   *   *   * 160 |  0  0  0  1  2  0  0 |  2  0  0  1
-----------------+-----+-------------+-------------------------+----------------------+------------
x3x3x   .      . ♦  24 |  12  12  12 |   4   6   4   0   0   0 | 80  *  *  *  *  *  * |  1  1  0  0
x3x .   o3*b   . ♦  12 |   6  12   0 |   4   0   0   4   0   0 |  * 80  *  *  *  *  * |  1  0  1  0
x3x .   . *b3/2o ♦  12 |   6  12   0 |   4   0   0   0   4   0 |  *  * 80  *  *  *  * |  0  1  1  0
x . x3/2o      . ♦   6 |   3   0   6 |   0   3   0   0   0   2 |  *  *  * 80  *  *  * |  2  0  0  0
. x3x3/2o3*b   . ♦  12 |   0  12  12 |   0   0   4   4   0   4 |  *  *  *  * 80  *  * |  1  0  0  1
. x3x   . *b3/2o ♦  12 |   0  12   6 |   0   0   4   0   4   0 |  *  *  *  *  * 80  * |  0  1  0  1
. x .   o3*b3/2o ♦   6 |   0  12   0 |   0   0   0   4   4   0 |  *  *  *  *  *  * 80 |  0  0  1  1
-----------------+-----+-------------+-------------------------+----------------------+------------
x3x3x3/2o3*b   . ♦  60 |  30  60  60 |  20  30  20  20   0  20 |  5  5  0 10  5  0  0 | 16  *  *  *
x3x3x   . *b3/2o ♦  96 |  48  96  48 |  32  24  32   0  32   0 |  8  0  8  0  0  8  0 |  * 10  *  *
x3x .   o3*b3/2o ♦  48 |  24  96   0 |  32   0   0  32  32   0 |  0  8  8  0  0  0  8 |  *  * 10  *
. x3x3/2o3*b3/2o ♦  30 |   0  60  30 |   0   0  20  20  20  10 |  0  0  0  0  5  5  5 |  *  *  * 16


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

x3x3x3o3/2*b3/2o

. . . .        . | 480 |   1   4   2 |   4   2   4   2   2   1 |  4  2  2  1  2  2  1 |  2  2  1  1
-----------------+-----+-------------+-------------------------+----------------------+------------
x . . .        . |   2 | 240   *   * |   4   2   0   0   0   0 |  4  2  2  1  0  0  0 |  2  2  1  0
. x . .        . |   2 |   * 960   * |   1   0   1   1   1   0 |  1  1  1  0  1  1  1 |  1  1  1  1
. . x .        . |   2 |   *   * 480 |   0   1   2   0   0   1 |  2  0  0  1  2  1  0 |  2  1  0  1
-----------------+-----+-------------+-------------------------+----------------------+------------
x3x . .        . |   6 |   3   3   0 | 320   *   *   *   *   * |  1  1  1  0  0  0  0 |  1  1  1  0
x . x .        . |   4 |   2   0   2 |   * 240   *   *   *   * |  2  0  0  1  0  0  0 |  2  1  0  0
. x3x .        . |   6 |   0   3   3 |   *   * 320   *   *   * |  1  0  0  0  1  1  0 |  1  1  0  1
. x . o3/2*b   . |   3 |   0   3   0 |   *   *   * 320   *   * |  0  1  0  0  1  0  1 |  1  0  1  1
. x . .   *b3/2o |   3 |   0   3   0 |   *   *   *   * 320   * |  0  0  1  0  0  1  1 |  0  1  1  1
. . x3o        . |   3 |   0   0   3 |   *   *   *   *   * 160 |  0  0  0  1  2  0  0 |  2  0  0  1
-----------------+-----+-------------+-------------------------+----------------------+------------
x3x3x .        . ♦  24 |  12  12  12 |   4   6   4   0   0   0 | 80  *  *  *  *  *  * |  1  1  0  0
x3x . o3/2*b   . ♦  12 |   6  12   0 |   4   0   0   4   0   0 |  * 80  *  *  *  *  * |  1  0  1  0
x3x . .   *b3/2o ♦  12 |   6  12   0 |   4   0   0   0   4   0 |  *  * 80  *  *  *  * |  0  1  1  0
x . x3o        . ♦   6 |   3   0   6 |   0   3   0   0   0   2 |  *  *  * 80  *  *  * |  2  0  0  0
. x3x3o3/2*b   . ♦  12 |   0  12  12 |   0   0   4   4   0   4 |  *  *  *  * 80  *  * |  1  0  0  1
. x3x .   *b3/2o ♦  12 |   0  12   6 |   0   0   4   0   4   0 |  *  *  *  *  * 80  * |  0  1  0  1
. x . o3/2*b3/2o ♦   6 |   0  12   0 |   0   0   0   4   4   0 |  *  *  *  *  *  * 80 |  0  0  1  1
-----------------+-----+-------------+-------------------------+----------------------+------------
x3x3x3o3/2*b   . ♦  60 |  30  60  60 |  20  30  20  20   0  20 |  5  5  0 10  5  0  0 | 16  *  *  *
x3x3x .   *b3/2o ♦  96 |  48  96  48 |  32  24  32   0  32   0 |  8  0  8  0  0  8  0 |  * 10  *  *
x3x . o3/2*b3/2o ♦  48 |  24  96   0 |  32   0   0  32  32   0 |  0  8  8  0  0  0  8 |  *  * 10  *
. x3x3o3/2*b3/2o ♦  30 |   0  60  30 |   0   0  20  20  20  10 |  0  0  0  0  5  5  5 |  *  *  * 16

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