Acronym getitdin
Name great tesseractitriacontidiadispenteract
Circumradius sqrt[15-6 sqrt(2)]/2 = 1.276197
Coordinates ((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – other uniform polyteral members:
by facets: gichado girpdo gittith gnappoth quidpith shiddip tes tip tuttip
getitdin 1001000040320
gancpan 0100100003280
caquapin 00001080403280
& others)
Face vector 640, 2240, 2160, 760, 92
Confer
general polytopal classes:
Wythoffian polytera  
External
links
polytopewiki

As abstract polytope getitdin is isomorphic to setitdin, thereby replacing octagrams by octagons, resp. quitco by girco and gocco by socco, resp. gittith by steth and gichado by sichado.


Incidence matrix according to Dynkin symbol

   3   3   3   
 x---x---o---o 
  4/3 \ / 4    
       x       
x3x3o3o *b4/3x4*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
------------------+-----+-------------+---------------------+----------------------+------------
x3x . .      .    |   6 |   3   3   0 | 320   *   *   *   * |   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 . . *b4/3x    |   8 |   0   4   4 |   *   *   * 240   * |   0  1   0   0  2  0 |  0  2  0  1
. . o .      x4*c |   4 |   0   0   4 |   *   *   *   * 480 |   0  0   1   0  1  1 |  0  1  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x3x3o .      .      12 |   6  12   0 |   4   0   4   0   0 | 160  *   *   *  *  * |  1  1  0  0
x3x . . *b4/3x      48 |  24  24  24 |   8  12   0   6   0 |   * 40   *   *  *  * |  0  2  0  0
x . o .      x4*c    8 |   4   0   8 |   0   4   0   0   2 |   *  * 240   *  *  * |  0  1  1  0
. x3o3o      .       4 |   0   6   0 |   0   0   4   0   0 |   *  *   * 160  *  * |  1  0  0  1
. x3o . *b4/3x4*c   24 |   0  24  24 |   0   0   8   6   6 |   *  *   *   * 80  * |  0  1  0  1
. . o3o      x4*c    8 |   0   0  12 |   0   0   0   0   6 |   *  *   *   *  * 80 |  0  0  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x3x3o3o      .      20 |  10  30   0 |  10   0  20   0   0 |   5  0   0   5  0  0 | 32  *  *  *
x3x3o . *b4/3x4*c  192 |  96 192 192 |  64  96  64  48  48 |  16  8  24   0  8  0 |  * 10  *  *
x . o3o      x4*c   16 |   8   0  24 |   0  12   0   0  12 |   0  0   6   0  0  2 |  *  * 40  *
. x3o3o *b4/3x4*c   64 |   0  96  96 |   0   0  64  24  48 |   0  0   0  16  8  8 |  *  *  * 10

   3   3  3/2  
 x---x---o---o 
  4/3 \ / 4    
       x       
x3x3o3/2o *b4/3x4*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
--------------------+-----+-------------+---------------------+----------------------+------------
x3x .   .      .    |   6 |   3   3   0 | 320   *   *   *   * |   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 .   . *b4/3x    |   8 |   0   4   4 |   *   *   * 240   * |   0  1   0   0  2  0 |  0  2  0  1
. . o   .      x4*c |   4 |   0   0   4 |   *   *   *   * 480 |   0  0   1   0  1  1 |  0  1  1  1
--------------------+-----+-------------+---------------------+----------------------+------------
x3x3o   .      .      12 |   6  12   0 |   4   0   4   0   0 | 160  *   *   *  *  * |  1  1  0  0
x3x .   . *b4/3x      48 |  24  24  24 |   8  12   0   6   0 |   * 40   *   *  *  * |  0  2  0  0
x . o   .      x4*c    8 |   4   0   8 |   0   4   0   0   2 |   *  * 240   *  *  * |  0  1  1  0
. x3o3/2o      .       4 |   0   6   0 |   0   0   4   0   0 |   *  *   * 160  *  * |  1  0  0  1
. x3o   . *b4/3x4*c   24 |   0  24  24 |   0   0   8   6   6 |   *  *   *   * 80  * |  0  1  0  1
. . o3/2o      x4*c    8 |   0   0  12 |   0   0   0   0   6 |   *  *   *   *  * 80 |  0  0  1  1
--------------------+-----+-------------+---------------------+----------------------+------------
x3x3o3/2o      .      20 |  10  30   0 |  10   0  20   0   0 |   5  0   0   5  0  0 | 32  *  *  *
x3x3o   . *b4/3x4*c  192 |  96 192 192 |  64  96  64  48  48 |  16  8  24   0  8  0 |  * 10  *  *
x . o3/2o      x4*c   16 |   8   0  24 |   0  12   0   0  12 |   0  0   6   0  0  2 |  *  * 40  *
. x3o3/2o *b4/3x4*c   64 |   0  96  96 |   0   0  64  24  48 |   0  0   0  16  8  8 |  *  *  * 10

   3  3/2  3   
 x---x---o---o 
  4/3 \ / 4/3  
       x       
x3x3/2o3o *b4/3x4/3*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
----------------------+-----+-------------+---------------------+----------------------+------------
x3x   . .      .      |   6 |   3   3   0 | 320   *   *   *   * |   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   . . *b4/3x      |   8 |   0   4   4 |   *   *   * 240   * |   0  1   0   0  2  0 |  0  2  0  1
. .   o .      x4/3*c |   4 |   0   0   4 |   *   *   *   * 480 |   0  0   1   0  1  1 |  0  1  1  1
----------------------+-----+-------------+---------------------+----------------------+------------
x3x3/2o .      .        12 |   6  12   0 |   4   0   4   0   0 | 160  *   *   *  *  * |  1  1  0  0
x3x   . . *b4/3x        48 |  24  24  24 |   8  12   0   6   0 |   * 40   *   *  *  * |  0  2  0  0
x .   o .      x4/3*c    8 |   4   0   8 |   0   4   0   0   2 |   *  * 240   *  *  * |  0  1  1  0
. x3/2o3o      .         4 |   0   6   0 |   0   0   4   0   0 |   *  *   * 160  *  * |  1  0  0  1
. x3/2o . *b4/3x4/3*c   24 |   0  24  24 |   0   0   8   6   6 |   *  *   *   * 80  * |  0  1  0  1
. .   o3o      x4/3*c    8 |   0   0  12 |   0   0   0   0   6 |   *  *   *   *  * 80 |  0  0  1  1
----------------------+-----+-------------+---------------------+----------------------+------------
x3x3/2o3o      .        20 |  10  30   0 |  10   0  20   0   0 |   5  0   0   5  0  0 | 32  *  *  *
x3x3/2o . *b4/3x4/3*c  192 |  96 192 192 |  64  96  64  48  48 |  16  8  24   0  8  0 |  * 10  *  *
x .   o3o      x4/3*c   16 |   8   0  24 |   0  12   0   0  12 |   0  0   6   0  0  2 |  *  * 40  *
. x3/2o3o *b4/3x4/3*c   64 |   0  96  96 |   0   0  64  24  48 |   0  0   0  16  8  8 |  *  *  * 10

   3  3/2 3/2  
 x---x---o---o 
  4/3 \ / 4/3    
       x       
x3x3/2o3/2o *b4/3x4/3*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
------------------------+-----+-------------+---------------------+----------------------+------------
x3x   .   .      .      |   6 |   3   3   0 | 320   *   *   *   * |   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   .   . *b4/3x      |   8 |   0   4   4 |   *   *   * 240   * |   0  1   0   0  2  0 |  0  2  0  1
. .   o   .      x4/3*c |   4 |   0   0   4 |   *   *   *   * 480 |   0  0   1   0  1  1 |  0  1  1  1
------------------------+-----+-------------+---------------------+----------------------+------------
x3x3/2o   .      .        12 |   6  12   0 |   4   0   4   0   0 | 160  *   *   *  *  * |  1  1  0  0
x3x   .   . *b4/3x        48 |  24  24  24 |   8  12   0   6   0 |   * 40   *   *  *  * |  0  2  0  0
x .   o   .      x4/3*c    8 |   4   0   8 |   0   4   0   0   2 |   *  * 240   *  *  * |  0  1  1  0
. x3/2o3/2o      .         4 |   0   6   0 |   0   0   4   0   0 |   *  *   * 160  *  * |  1  0  0  1
. x3/2o   . *b4/3x4/3*c   24 |   0  24  24 |   0   0   8   6   6 |   *  *   *   * 80  * |  0  1  0  1
. .   o3/2o      x4/3*c    8 |   0   0  12 |   0   0   0   0   6 |   *  *   *   *  * 80 |  0  0  1  1
------------------------+-----+-------------+---------------------+----------------------+------------
x3x3/2o3/2o      .        20 |  10  30   0 |  10   0  20   0   0 |   5  0   0   5  0  0 | 32  *  *  *
x3x3/2o   . *b4/3x4/3*c  192 |  96 192 192 |  64  96  64  48  48 |  16  8  24   0  8  0 |  * 10  *  *
x .   o3/2o      x4/3*c   16 |   8   0  24 |   0  12   0   0  12 |   0  0   6   0  0  2 |  *  * 40  *
. x3/2o3/2o *b4/3x4/3*c   64 |   0  96  96 |   0   0  64  24  48 |   0  0   0  16  8  8 |  *  *  * 10

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