Acronym gorcpit
Name great retrocelliprismated triacontiditeron
Circumradius sqrt[19-10 sqrt(2)]/2 = 1.102028
Coordinates (2 sqrt(2)-1, sqrt(2)-1, sqrt(2)-1, sqrt(2)-1, 1)/2   & all permutations, all changes of sign
Colonel of regiment quacpot
Face vector 640, 2240, 2320, 920, 132
Confer
general polytopal classes:
Wythoffian polytera  

As abstract polyteron gorcpit is isomorphic to sorcpit, thereby replacing octagrams by octagons, resp. quitco by girco and quith by tic, resp. quitit by tat and giphado by siphado.


Incidence matrix according to Dynkin symbol

  4/3  3   3   
 x---x---o---o 
    3 \ / 3/2  
       x       
x4/3x3o3o *b3x3/2*c

.   . . .    .      | 640 |   1   3   3 |   3   3   3   3   3 |  3  3   3   1   3   1 |  1  3  1  1
--------------------+-----+-------------+---------------------+-----------------------+------------
x   . . .    .      |   2 | 320   *   * |   3   3   0   0   0 |  3  3   3   0   0   0 |  1  3  1  0
.   x . .    .      |   2 |   * 960   * |   1   0   2   1   0 |  2  1   0   1   2   0 |  1  2  0  1
.   . . .    x      |   2 |   *   * 960 |   0   1   0   1   2 |  0  1   2   0   2   1 |  0  2  1  1
--------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x . .    .      |   8 |   4   4   0 | 240   *   *   *   * |  2  1   0   0   0   0 |  1  2  0  0
x   . . .    x      |   4 |   2   0   2 |   * 480   *   *   * |  0  1   2   0   0   0 |  0  2  1  0
.   x3o .    .      |   3 |   0   3   0 |   *   * 640   *   * |  1  0   0   1   1   0 |  1  1  0  1
.   x . . *b3x      |   6 |   0   3   3 |   *   *   * 320   * |  0  1   0   0   2   0 |  0  2  0  1
.   . o .    x3/2*c |   3 |   0   0   3 |   *   *   *   * 640 |  0  0   1   0   1   1 |  0  1  1  1
--------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x3o .    .        24 |  12  24   0 |   6   0   8   0   0 | 80  *   *   *   *   * |  1  1  0  0
x4/3x . . *b3x        48 |  24  24  24 |   6  12   0   8   0 |  * 40   *   *   *   * |  0  2  0  0
x   . o .    x3/2*c    6 |   3   0   6 |   0   3   0   0   2 |  *  * 320   *   *   * |  0  1  1  0
.   x3o3o    .         4 |   0   6   0 |   0   0   4   0   0 |  *  *   * 160   *   * |  1  0  0  1
.   x3o . *b3x3/2*c   12 |   0  12  12 |   0   0   4   4   4 |  *  *   *   * 160   * |  0  1  0  1
.   . o3o    x3/2*c    4 |   0   0   6 |   0   0   0   0   4 |  *  *   *   *   * 160 |  0  0  1  1
--------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x3o3o    .        64 |  32  96   0 |  24   0  64   0   0 |  8  0   0  16   0   0 | 10  *  *  *
x4/3x3o . *b3x3/2*c  192 |  96 192 192 |  48  96  64  64  64 |  8  8  32   0  16   0 |  * 10  *  *
x   . o3o    x3/2*c    8 |   4   0  12 |   0   6   0   0   8 |  0  0   4   0   0   2 |  *  * 80  *
.   x3o3o *b3x3/2*c   20 |   0  30  30 |   0   0  20  10  20 |  0  0   0   5   5   5 |  *  *  * 32

  4/3  3  3/2  
 x---x---o---o 
    3 \ / 3/2  
       x       
x4/3x3o3/2o *b3x3/2*c

.   . .   .    .      | 640 |   1   3   3 |   3   3   3   3   3 |  3  3   3   1   3   1 |  1  3  1  1
----------------------+-----+-------------+---------------------+-----------------------+------------
x   . .   .    .      |   2 | 320   *   * |   3   3   0   0   0 |  3  3   3   0   0   0 |  1  3  1  0
.   x .   .    .      |   2 |   * 960   * |   1   0   2   1   0 |  2  1   0   1   2   0 |  1  2  0  1
.   . .   .    x      |   2 |   *   * 960 |   0   1   0   1   2 |  0  1   2   0   2   1 |  0  2  1  1
----------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x .   .    .      |   8 |   4   4   0 | 240   *   *   *   * |  2  1   0   0   0   0 |  1  2  0  0
x   . .   .    x      |   4 |   2   0   2 |   * 480   *   *   * |  0  1   2   0   0   0 |  0  2  1  0
.   x3o   .    .      |   3 |   0   3   0 |   *   * 640   *   * |  1  0   0   1   1   0 |  1  1  0  1
.   x .   . *b3x      |   6 |   0   3   3 |   *   *   * 320   * |  0  1   0   0   2   0 |  0  2  0  1
.   . o   .    x3/2*c |   3 |   0   0   3 |   *   *   *   * 640 |  0  0   1   0   1   1 |  0  1  1  1
----------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x3o   .    .        24 |  12  24   0 |   6   0   8   0   0 | 80  *   *   *   *   * |  1  1  0  0
x4/3x .   . *b3x        48 |  24  24  24 |   6  12   0   8   0 |  * 40   *   *   *   * |  0  2  0  0
x   . o   .    x3/2*c    6 |   3   0   6 |   0   3   0   0   2 |  *  * 320   *   *   * |  0  1  1  0
.   x3o3/2o    .         4 |   0   6   0 |   0   0   4   0   0 |  *  *   * 160   *   * |  1  0  0  1
.   x3o   . *b3x3/2*c   12 |   0  12  12 |   0   0   4   4   4 |  *  *   *   * 160   * |  0  1  0  1
.   . o3/2o    x3/2*c    4 |   0   0   6 |   0   0   0   0   4 |  *  *   *   *   * 160 |  0  0  1  1
----------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x3o3/2o    .        64 |  32  96   0 |  24   0  64   0   0 |  8  0   0  16   0   0 | 10  *  *  *
x4/3x3o   . *b3x3/2*c  192 |  96 192 192 |  48  96  64  64  64 |  8  8  32   0  16   0 |  * 10  *  *
x   . o3/2o    x3/2*c    8 |   4   0  12 |   0   6   0   0   8 |  0  0   4   0   0   2 |  *  * 80  *
.   x3o3/2o *b3x3/2*c   20 |   0  30  30 |   0   0  20  10  20 |  0  0   0   5   5   5 |  *  *  * 32

  4/3 3/2  3   
 x---x---o---o 
    3 \ / 3    
       x       
x4/3x3/2o3o *b3x3*c

.   .   . .    .    | 640 |   1   3   3 |   3   3   3   3   3 |  3  3   3   1   3   1 |  1  3  1  1
--------------------+-----+-------------+---------------------+-----------------------+------------
x   .   . .    .    |   2 | 320   *   * |   3   3   0   0   0 |  3  3   3   0   0   0 |  1  3  1  0
.   x   . .    .    |   2 |   * 960   * |   1   0   2   1   0 |  2  1   0   1   2   0 |  1  2  0  1
.   .   . .    x    |   2 |   *   * 960 |   0   1   0   1   2 |  0  1   2   0   2   1 |  0  2  1  1
--------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x   . .    .    |   8 |   4   4   0 | 240   *   *   *   * |  2  1   0   0   0   0 |  1  2  0  0
x   .   . .    x    |   4 |   2   0   2 |   * 480   *   *   * |  0  1   2   0   0   0 |  0  2  1  0
.   x3/2o .    .    |   3 |   0   3   0 |   *   * 640   *   * |  1  0   0   1   1   0 |  1  1  0  1
.   x   . . *b3x    |   6 |   0   3   3 |   *   *   * 320   * |  0  1   0   0   2   0 |  0  2  0  1
.   .   o .    x3*c |   3 |   0   0   3 |   *   *   *   * 640 |  0  0   1   0   1   1 |  0  1  1  1
--------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x3/2o .    .      24 |  12  24   0 |   6   0   8   0   0 | 80  *   *   *   *   * |  1  1  0  0
x4/3x   . . *b3x      48 |  24  24  24 |   6  12   0   8   0 |  * 40   *   *   *   * |  0  2  0  0
x   .   o .    x3*c    6 |   3   0   6 |   0   3   0   0   2 |  *  * 320   *   *   * |  0  1  1  0
.   x3/2o3o    .       4 |   0   6   0 |   0   0   4   0   0 |  *  *   * 160   *   * |  1  0  0  1
.   x3/2o . *b3x3*c   12 |   0  12  12 |   0   0   4   4   4 |  *  *   *   * 160   * |  0  1  0  1
.   .   o3o    x3*c    4 |   0   0   6 |   0   0   0   0   4 |  *  *   *   *   * 160 |  0  0  1  1
--------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x3/2o3o    .      64 |  32  96   0 |  24   0  64   0   0 |  8  0   0  16   0   0 | 10  *  *  *
x4/3x3/2o . *b3x3*c  192 |  96 192 192 |  48  96  64  64  64 |  8  8  32   0  16   0 |  * 10  *  *
x   .   o3o    x3*c    8 |   4   0  12 |   0   6   0   0   8 |  0  0   4   0   0   2 |  *  * 80  *
.   x3/2o3o *b3x3*c   20 |   0  30  30 |   0   0  20  10  20 |  0  0   0   5   5   5 |  *  *  * 32

  4/3 3/2 3/2  
 x---x---o---o 
    3 \ / 3    
       x       
x4/3x3/2o3/2o *b3x3*c

.   .   .   .    .    | 640 |   1   3   3 |   3   3   3   3   3 |  3  3   3   1   3   1 |  1  3  1  1
----------------------+-----+-------------+---------------------+-----------------------+------------
x   .   .   .    .    |   2 | 320   *   * |   3   3   0   0   0 |  3  3   3   0   0   0 |  1  3  1  0
.   x   .   .    .    |   2 |   * 960   * |   1   0   2   1   0 |  2  1   0   1   2   0 |  1  2  0  1
.   .   .   .    x    |   2 |   *   * 960 |   0   1   0   1   2 |  0  1   2   0   2   1 |  0  2  1  1
----------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x   .   .    .    |   8 |   4   4   0 | 240   *   *   *   * |  2  1   0   0   0   0 |  1  2  0  0
x   .   .   .    x    |   4 |   2   0   2 |   * 480   *   *   * |  0  1   2   0   0   0 |  0  2  1  0
.   x3/2o   .    .    |   3 |   0   3   0 |   *   * 640   *   * |  1  0   0   1   1   0 |  1  1  0  1
.   x   .   . *b3x    |   6 |   0   3   3 |   *   *   * 320   * |  0  1   0   0   2   0 |  0  2  0  1
.   .   o   .    x3*c |   3 |   0   0   3 |   *   *   *   * 640 |  0  0   1   0   1   1 |  0  1  1  1
----------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x3/2o   .    .      24 |  12  24   0 |   6   0   8   0   0 | 80  *   *   *   *   * |  1  1  0  0
x4/3x   .   . *b3x      48 |  24  24  24 |   6  12   0   8   0 |  * 40   *   *   *   * |  0  2  0  0
x   .   o   .    x3*c    6 |   3   0   6 |   0   3   0   0   2 |  *  * 320   *   *   * |  0  1  1  0
.   x3/2o3/2o    .       4 |   0   6   0 |   0   0   4   0   0 |  *  *   * 160   *   * |  1  0  0  1
.   x3/2o   . *b3x3*c   12 |   0  12  12 |   0   0   4   4   4 |  *  *   *   * 160   * |  0  1  0  1
.   .   o3/2o    x3*c    4 |   0   0   6 |   0   0   0   0   4 |  *  *   *   *   * 160 |  0  0  1  1
----------------------+-----+-------------+---------------------+-----------------------+------------
x4/3x3/2o3/2o    .      64 |  32  96   0 |  24   0  64   0   0 |  8  0   0  16   0   0 | 10  *  *  *
x4/3x3/2o   . *b3x3*c  192 |  96 192 192 |  48  96  64  64  64 |  8  8  32   0  16   0 |  * 10  *  *
x   .   o3/2o    x3*c    8 |   4   0  12 |   0   6   0   0   8 |  0  0   4   0   0   2 |  *  * 80  *
.   x3/2o3/2o *b3x3*c   20 |   0  30  30 |   0   0  20  10  20 |  0  0   0   5   5   5 |  *  *  * 32

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