Acronym kevuthi
Name skewverted tetrishecatonicosachoron
Circumradius sqrt(8) = 2.828427
Vertex figure
 ©
Colonel of regiment sik vipathi
Face vector 7200, 21600, 10560, 480
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki  

As abstract polytope kevuthi is automorph, thereby interchanging the roles both of decagons and decagrams as well as of pantagons and pentagrams, resp. interchanging the roles of gaddid and saddid.


Incidence matrix according to Dynkin symbol

       x       
      /|\      
     / 5 \     
  5 /  |  \ 3  
   /  _x_  \   
  /_3/2 5/3_\  
 o-----------x 
      5/3      
x5x5o5/3x5/3*a3/2*c *b3*d

. . .   .                 | 7200 |    2    2    2 |    2    1    2    1    2    1 |   1   2   1   1
--------------------------+------+----------------+-------------------------------+----------------
x . .   .                 |    2 | 7200    *    * |    1    1    1    0    0    0 |   1   1   1   0
. x .   .                 |    2 |    * 7200    * |    1    0    0    1    1    0 |   1   1   0   1
. . .   x                 |    2 |    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1
--------------------------+------+----------------+-------------------------------+----------------
x5x .   .                 |   10 |    5    5    0 | 1440    *    *    *    *    * |   1   1   0   0
x . o   .   *a3/2*c       |    3 |    3    0    0 |    * 2400    *    *    *    * |   1   0   1   0
x . .   x5/3*a            |   10 |    5    0    5 |    *    * 1440    *    *    * |   0   1   1   0
. x5o   .                 |    5 |    0    5    0 |    *    *    * 1440    *    * |   1   0   0   1
. x .   x           *b3*d |    6 |    0    3    3 |    *    *    *    * 2400    * |   0   1   0   1
. . o5/3x                 |    5 |    0    0    5 |    *    *    *    *    * 1440 |   0   0   1   1
--------------------------+------+----------------+-------------------------------+----------------
x5x5o   .   *a3/2*c          60 |   60   60    0 |   12   20    0   12    0    0 | 120   *   *   *
x5x .   x5/3*a      *b3*d   120 |   60   60   60 |   12    0   12    0   20    0 |   * 120   *   *
x . o5/3x5/3*a3/2*c          60 |   60    0   60 |    0   20   12    0    0   12 |   *   * 120   *
. x5o5/3x           *b3*d    60 |    0   60   60 |    0    0    0   12   20   12 |   *   *   * 120

       x       
      /|\      
     / 5 \     
5/4 /  |  \ 3  
   /  _x_  \   
  /_3-  5/3_\  
 o-----------x 
      5/2      
x5x5/4o5/2x5/3*a3*c *b3*d

. .   .   .               | 7200 |    2    2    2 |    2    1    2    1    2    1 |   1   2   1   1
--------------------------+------+----------------+-------------------------------+----------------
x .   .   .               |    2 | 7200    *    * |    1    1    1    0    0    0 |   1   1   1   0
. x   .   .               |    2 |    * 7200    * |    1    0    0    1    1    0 |   1   1   0   1
. .   .   x               |    2 |    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1
--------------------------+------+----------------+-------------------------------+----------------
x5x   .   .               |   10 |    5    5    0 | 1440    *    *    *    *    * |   1   1   0   0
x .   o   .   *a3*c       |    3 |    3    0    0 |    * 2400    *    *    *    * |   1   0   1   0
x .   .   x5/3*a          |   10 |    5    0    5 |    *    * 1440    *    *    * |   0   1   1   0
. x5/4o   .               |    5 |    0    5    0 |    *    *    * 1440    *    * |   1   0   0   1
. x   .   x         *b3*d |    6 |    0    3    3 |    *    *    *    * 2400    * |   0   1   0   1
. .   o5/2x               |    5 |    0    0    5 |    *    *    *    *    * 1440 |   0   0   1   1
--------------------------+------+----------------+-------------------------------+----------------
x5x5/4o   .   *a3*c          60 |   60   60    0 |   12   20    0   12    0    0 | 120   *   *   *
x5x   .   x5/3*a    *b3*d   120 |   60   60   60 |   12    0   12    0   20    0 |   * 120   *   *
x .   o5/2x5/3*a3*c          60 |   60    0   60 |    0   20   12    0    0   12 |   *   * 120   *
. x5/4o5/2x         *b3*d    60 |    0   60   60 |    0    0    0   12   20   12 |   *   *   * 120

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