Acronym gokvactaden
Name great skewverted cellitriacontadiadispenteract
Circumradius sqrt[11-2 sqrt(2)]/2 = 1.429298
Coordinates (1+sqrt(2), sqrt(2)-1, sqrt(2)-1, 1, 1)/2   & all permutations, all changes of sign
Colonel of regiment gikvacadint
Face vector 960, 3840, 3920, 1240, 132
Confer
general polytopal classes:
Wythoffian polytera  

As abstract polyteron gokvactaden is isomorphic to skovactaden, thereby interchanging the roles of sirco and querco, resp. replacing qrit by srit.


Incidence matrix according to Dynkin symbol

  4/3  3   3   
 x---o---x---o 
  3/2 \ / 3    
       x       
x4/3o3x3o *b3/2x3*c

.   . . .      .    | 960 |   2    4   2 |   1   4   2   2   1   2   4 |  2  1   2   4   1   2   2 |  1  2  2  1
--------------------+-----+--------------+-----------------------------+---------------------------+------------
x   . . .      .    |   2 | 960    *   * |   1   2   1   0   0   0   0 |  2  1   1   2   0   0   0 |  1  2  1  0
.   . x .      .    |   2 |   * 1920   * |   0   1   0   1   0   1   1 |  1  0   1   1   1   1   1 |  1  1  1  1
.   . . .      x    |   2 |   *    * 960 |   0   0   1   0   1   0   2 |  0  1   0   2   0   2   1 |  0  2  1  1
--------------------+-----+--------------+-----------------------------+---------------------------+------------
x4/3o . .      .    |   4 |   4    0   0 | 240   *   *   *   *   *   * |  2  1   0   0   0   0   0 |  1  2  0  0
x   . x .      .    |   4 |   2    2   0 |   * 960   *   *   *   *   * |  1  0   1   1   0   0   0 |  1  1  1  0
x   . . .      x    |   4 |   2    0   2 |   *   * 480   *   *   *   * |  0  1   0   2   0   0   0 |  0  2  1  0
.   o3x .      .    |   3 |   0    3   0 |   *   *   * 640   *   *   * |  1  0   0   0   1   1   0 |  1  1  0  1
.   o . . *b3/2x    |   3 |   0    0   3 |   *   *   *   * 320   *   * |  0  1   0   0   0   2   0 |  0  2  0  1
.   . x3o      .    |   3 |   0    3   0 |   *   *   *   *   * 640   * |  0  0   1   0   1   0   1 |  1  0  1  1
.   . x .      x3*c |   6 |   0    3   3 |   *   *   *   *   *   * 640 |  0  0   0   1   0   1   1 |  0  1  1  1
--------------------+-----+--------------+-----------------------------+---------------------------+------------
x4/3o3x .      .      24 |  24   24   0 |   6  12   0   8   0   0   0 | 80  *   *   *   *   *   * |  1  1  0  0
x4/3o . . *b3/2x      24 |  24    0  24 |   6   0  12   0   8   0   0 |  * 40   *   *   *   *   * |  0  2  0  0
x   . x3o      .       6 |   3    6   0 |   0   3   0   0   0   2   0 |  *  * 320   *   *   *   * |  1  0  1  0
x   . x .      x3*c   12 |   6    6   6 |   0   3   3   0   0   0   2 |  *  *   * 320   *   *   * |  0  1  1  0
.   o3x3o      .       6 |   0   12   0 |   0   0   0   4   0   4   0 |  *  *   *   * 160   *   * |  1  0  0  1
.   o3x . *b3/2x3*c   12 |   0   12  12 |   0   0   0   4   4   0   4 |  *  *   *   *   * 160   * |  0  1  0  1
.   . x3o      x3*c   12 |   0   12   6 |   0   0   0   0   0   4   4 |  *  *   *   *   *   * 160 |  0  0  1  1
--------------------+-----+--------------+-----------------------------+---------------------------+------------
x4/3o3x3o      .      96 |  96  192   0 |  24  96   0  64   0  64   0 |  8  0  32   0  16   0   0 | 10  *  *  *
x4/3o3x . *b3/2x3*c  192 | 192  192 192 |  48  96  96  64  64   0  64 |  8  8   0  32   0  16   0 |  * 10  *  *
x   . x3o      x3*c   24 |  12   24  12 |   0  12   6   0   0   8   8 |  0  0   4   4   0   0   2 |  *  * 80  *
.   o3x3o *b3/2x3*c   30 |   0   60  30 |   0   0   0  20  10  20  20 |  0  0   0   0   5   5   5 |  *  *  * 32

  4/3  3  3/2  
 x---o---x---o 
  3/2 \ / 3    
       x       
x4/3o3x3/2o *b3/2x3*c

.   . .   .      .    | 960 |   2    4   2 |   1   4   2   2   1   2   4 |  2  1   2   4   1   2   2 |  1  2  2  1
----------------------+-----+--------------+-----------------------------+---------------------------+------------
x   . .   .      .    |   2 | 960    *   * |   1   2   1   0   0   0   0 |  2  1   1   2   0   0   0 |  1  2  1  0
.   . x   .      .    |   2 |   * 1920   * |   0   1   0   1   0   1   1 |  1  0   1   1   1   1   1 |  1  1  1  1
.   . .   .      x    |   2 |   *    * 960 |   0   0   1   0   1   0   2 |  0  1   0   2   0   2   1 |  0  2  1  1
----------------------+-----+--------------+-----------------------------+---------------------------+------------
x4/3o .   .      .    |   4 |   4    0   0 | 240   *   *   *   *   *   * |  2  1   0   0   0   0   0 |  1  2  0  0
x   . x   .      .    |   4 |   2    2   0 |   * 960   *   *   *   *   * |  1  0   1   1   0   0   0 |  1  1  1  0
x   . .   .      x    |   4 |   2    0   2 |   *   * 480   *   *   *   * |  0  1   0   2   0   0   0 |  0  2  1  0
.   o3x   .      .    |   3 |   0    3   0 |   *   *   * 640   *   *   * |  1  0   0   0   1   1   0 |  1  1  0  1
.   o .   . *b3/2x    |   3 |   0    0   3 |   *   *   *   * 320   *   * |  0  1   0   0   0   2   0 |  0  2  0  1
.   . x3/2o      .    |   3 |   0    3   0 |   *   *   *   *   * 640   * |  0  0   1   0   1   0   1 |  1  0  1  1
.   . x   .      x3*c |   6 |   0    3   3 |   *   *   *   *   *   * 640 |  0  0   0   1   0   1   1 |  0  1  1  1
----------------------+-----+--------------+-----------------------------+---------------------------+------------
x4/3o3x   .      .      24 |  24   24   0 |   6  12   0   8   0   0   0 | 80  *   *   *   *   *   * |  1  1  0  0
x4/3o .   . *b3/2x      24 |  24    0  24 |   6   0  12   0   8   0   0 |  * 40   *   *   *   *   * |  0  2  0  0
x   . x3/2o      .       6 |   3    6   0 |   0   3   0   0   0   2   0 |  *  * 320   *   *   *   * |  1  0  1  0
x   . x   .      x3*c   12 |   6    6   6 |   0   3   3   0   0   0   2 |  *  *   * 320   *   *   * |  0  1  1  0
.   o3x3/2o      .       6 |   0   12   0 |   0   0   0   4   0   4   0 |  *  *   *   * 160   *   * |  1  0  0  1
.   o3x   . *b3/2x3*c   12 |   0   12  12 |   0   0   0   4   4   0   4 |  *  *   *   *   * 160   * |  0  1  0  1
.   . x3/2o      x3*c   12 |   0   12   6 |   0   0   0   0   0   4   4 |  *  *   *   *   *   * 160 |  0  0  1  1
----------------------+-----+--------------+-----------------------------+---------------------------+------------
x4/3o3x3/2o      .      96 |  96  192   0 |  24  96   0  64   0  64   0 |  8  0  32   0  16   0   0 | 10  *  *  *
x4/3o3x   . *b3/2x3*c  192 | 192  192 192 |  48  96  96  64  64   0  64 |  8  8   0  32   0  16   0 |  * 10  *  *
x   . x3/2o      x3*c   24 |  12   24  12 |   0  12   6   0   0   8   8 |  0  0   4   4   0   0   2 |  *  * 80  *
.   o3x3/2o *b3/2x3*c   30 |   0   60  30 |   0   0   0  20  10  20  20 |  0  0   0   0   5   5   5 |  *  *  * 32

   4  3/2  3   
 x---o---x---o 
    3 \ / 3    
       x       
x4o3/2x3o *b3x3*c

. .   . .    .    | 960 |   2    4   2 |   1   4   2   2   1   2   4 |  2  1   2   4   1   2   2 |  1  2  2  1
------------------+-----+--------------+-----------------------------+---------------------------+------------
x .   . .    .    |   2 | 960    *   * |   1   2   1   0   0   0   0 |  2  1   1   2   0   0   0 |  1  2  1  0
. .   x .    .    |   2 |   * 1920   * |   0   1   0   1   0   1   1 |  1  0   1   1   1   1   1 |  1  1  1  1
. .   . .    x    |   2 |   *    * 960 |   0   0   1   0   1   0   2 |  0  1   0   2   0   2   1 |  0  2  1  1
------------------+-----+--------------+-----------------------------+---------------------------+------------
x4o   . .    .    |   4 |   4    0   0 | 240   *   *   *   *   *   * |  2  1   0   0   0   0   0 |  1  2  0  0
x .   x .    .    |   4 |   2    2   0 |   * 960   *   *   *   *   * |  1  0   1   1   0   0   0 |  1  1  1  0
x .   . .    x    |   4 |   2    0   2 |   *   * 480   *   *   *   * |  0  1   0   2   0   0   0 |  0  2  1  0
. o3/2x .    .    |   3 |   0    3   0 |   *   *   * 640   *   *   * |  1  0   0   0   1   1   0 |  1  1  0  1
. o   . . *b3x    |   3 |   0    0   3 |   *   *   *   * 320   *   * |  0  1   0   0   0   2   0 |  0  2  0  1
. .   x3o    .    |   3 |   0    3   0 |   *   *   *   *   * 640   * |  0  0   1   0   1   0   1 |  1  0  1  1
. .   x .    x3*c |   6 |   0    3   3 |   *   *   *   *   *   * 640 |  0  0   0   1   0   1   1 |  0  1  1  1
------------------+-----+--------------+-----------------------------+---------------------------+------------
x4o3/2x .    .      24 |  24   24   0 |   6  12   0   8   0   0   0 | 80  *   *   *   *   *   * |  1  1  0  0
x4o   . . *b3x      24 |  24    0  24 |   6   0  12   0   8   0   0 |  * 40   *   *   *   *   * |  0  2  0  0
x .   x3o    .       6 |   3    6   0 |   0   3   0   0   0   2   0 |  *  * 320   *   *   *   * |  1  0  1  0
x .   x .    x3*c   12 |   6    6   6 |   0   3   3   0   0   0   2 |  *  *   * 320   *   *   * |  0  1  1  0
. o3/2x3o    .       6 |   0   12   0 |   0   0   0   4   0   4   0 |  *  *   *   * 160   *   * |  1  0  0  1
. o3/2x . *b3x3*c   12 |   0   12  12 |   0   0   0   4   4   0   4 |  *  *   *   *   * 160   * |  0  1  0  1
. .   x3o    x3*c   12 |   0   12   6 |   0   0   0   0   0   4   4 |  *  *   *   *   *   * 160 |  0  0  1  1
------------------+-----+--------------+-----------------------------+---------------------------+------------
x4o3/2x3o    .      96 |  96  192   0 |  24  96   0  64   0  64   0 |  8  0  32   0  16   0   0 | 10  *  *  *
x4o3/2x . *b3x3*c  192 | 192  192 192 |  48  96  96  64  64   0  64 |  8  8   0  32   0  16   0 |  * 10  *  *
x .   x3o    x3*c   24 |  12   24  12 |   0  12   6   0   0   8   8 |  0  0   4   4   0   0   2 |  *  * 80  *
. o3/2x3o *b3x3*c   30 |   0   60  30 |   0   0   0  20  10  20  20 |  0  0   0   0   5   5   5 |  *  *  * 32

   4  3/2 3/2  
 x---o---x---o 
    3 \ / 3    
       x       
x4o3/2x3/2o *b3x3*c

. .   .   .    .    | 960 |   2    4   2 |   1   4   2   2   1   2   4 |  2  1   2   4   1   2   2 |  1  2  2  1
--------------------+-----+--------------+-----------------------------+---------------------------+------------
x .   .   .    .    |   2 | 960    *   * |   1   2   1   0   0   0   0 |  2  1   1   2   0   0   0 |  1  2  1  0
. .   x   .    .    |   2 |   * 1920   * |   0   1   0   1   0   1   1 |  1  0   1   1   1   1   1 |  1  1  1  1
. .   .   .    x    |   2 |   *    * 960 |   0   0   1   0   1   0   2 |  0  1   0   2   0   2   1 |  0  2  1  1
--------------------+-----+--------------+-----------------------------+---------------------------+------------
x4o   .   .    .    |   4 |   4    0   0 | 240   *   *   *   *   *   * |  2  1   0   0   0   0   0 |  1  2  0  0
x .   x   .    .    |   4 |   2    2   0 |   * 960   *   *   *   *   * |  1  0   1   1   0   0   0 |  1  1  1  0
x .   .   .    x    |   4 |   2    0   2 |   *   * 480   *   *   *   * |  0  1   0   2   0   0   0 |  0  2  1  0
. o3/2x   .    .    |   3 |   0    3   0 |   *   *   * 640   *   *   * |  1  0   0   0   1   1   0 |  1  1  0  1
. o   .   . *b3x    |   3 |   0    0   3 |   *   *   *   * 320   *   * |  0  1   0   0   0   2   0 |  0  2  0  1
. .   x3/2o    .    |   3 |   0    3   0 |   *   *   *   *   * 640   * |  0  0   1   0   1   0   1 |  1  0  1  1
. .   x   .    x3*c |   6 |   0    3   3 |   *   *   *   *   *   * 640 |  0  0   0   1   0   1   1 |  0  1  1  1
--------------------+-----+--------------+-----------------------------+---------------------------+------------
x4o3/2x   .    .      24 |  24   24   0 |   6  12   0   8   0   0   0 | 80  *   *   *   *   *   * |  1  1  0  0
x4o   .   . *b3x      24 |  24    0  24 |   6   0  12   0   8   0   0 |  * 40   *   *   *   *   * |  0  2  0  0
x .   x3/2o    .       6 |   3    6   0 |   0   3   0   0   0   2   0 |  *  * 320   *   *   *   * |  1  0  1  0
x .   x   .    x3*c   12 |   6    6   6 |   0   3   3   0   0   0   2 |  *  *   * 320   *   *   * |  0  1  1  0
. o3/2x3/2o    .       6 |   0   12   0 |   0   0   0   4   0   4   0 |  *  *   *   * 160   *   * |  1  0  0  1
. o3/2x   . *b3x3*c   12 |   0   12  12 |   0   0   0   4   4   0   4 |  *  *   *   *   * 160   * |  0  1  0  1
. .   x3/2o    x3*c   12 |   0   12   6 |   0   0   0   0   0   4   4 |  *  *   *   *   *   * 160 |  0  0  1  1
--------------------+-----+--------------+-----------------------------+---------------------------+------------
x4o3/2x3/2o    .      96 |  96  192   0 |  24  96   0  64   0  64   0 |  8  0  32   0  16   0   0 | 10  *  *  *
x4o3/2x   . *b3x3*c  192 | 192  192 192 |  48  96  96  64  64   0  64 |  8  8   0  32   0  16   0 |  * 10  *  *
x .   x3/2o    x3*c   24 |  12   24  12 |   0  12   6   0   0   8   8 |  0  0   4   4   0   0   2 |  *  * 80  *
. o3/2x3/2o *b3x3*c   30 |   0   60  30 |   0   0   0  20  10  20  20 |  0  0   0   0   5   5   5 |  *  *  * 32

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