Acronym crohax (old: scrohax)
Name (small) cellirhombated hemihexeract,
pentiruncinated demihexeract,
pentiruncic hexeract
Circumradius sqrt(23)/2 = 2.397916
Face vector 1920, 10560, 16960, 11040, 3016, 296
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

x3o3o *b3x3o3x

. . .    . . . | 1920 |    3    6    2 |    3    6    6    6    3    6   1 |   1   6    6   3    6   3   2   3    6   3 |   2   2   3   6   3   3   1   2   3 |  1  2   1  3  1
---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
x . .    . . . |    2 | 2880    *    * |    2    2    2    0    0    0   0 |   1   4    4   1    2   1   0   0    0   0 |   2   2   2   4   2   1   0   0   0 |  1  2   1  2  0
. . .    x . . |    2 |    * 5760    * |    0    1    0    2    1    1   0 |   0   2    0   1    1   0   1   2    2   1 |   1   0   2   2   0   1   1   1   2 |  1  1   0  2  1
. . .    . . x |    2 |    *    * 1920 |    0    0    3    0    0    3   1 |   0   0    3   0    3   3   0   0    3   3 |   0   1   0   3   3   3   0   1   3 |  0  1   1  3  1
---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
x3o .    . . . |    3 |    3    0    0 | 1920    *    *    *    *    *   * |   1   2    2   0    0   0   0   0    0   0 |   2   2   1   2   1   0   0   0   0 |  1  2   1  1  0
x . .    x . . |    4 |    2    2    0 |    * 2880    *    *    *    *   * |   0   2    0   1    1   0   0   0    0   0 |   1   0   2   2   0   1   0   0   0 |  1  1   0  2  0
x . .    . . x |    4 |    2    0    2 |    *    * 2880    *    *    *   * |   0   0    2   0    1   1   0   0    0   0 |   0   1   0   2   2   1   0   0   0 |  0  1   1  2  0
. o . *b3x . . |    3 |    0    3    0 |    *    *    * 3840    *    *   * |   0   1    0   0    0   0   1   1    1   0 |   1   0   1   1   0   0   1   1   1 |  1  1   0  1  1
. . .    x3o . |    3 |    0    3    0 |    *    *    *    * 1920    *   * |   0   0    0   1    0   0   0   2    0   1 |   0   0   2   0   0   1   1   0   2 |  1  0   0  2  1
. . .    x . x |    4 |    0    2    2 |    *    *    *    *    * 2880   * |   0   0    0   0    1   0   0   0    2   1 |   0   0   0   2   0   1   0   1   2 |  0  1   0  2  1
. . .    . o3x |    3 |    0    0    3 |    *    *    *    *    *    * 640 |   0   0    0   0    0   3   0   0    0   3 |   0   0   0   0   3   3   0   0   3 |  0  0   1  3  1
---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
x3o3o    . . .     4 |    6    0    0 |    4    0    0    0    0    0   0 | 480   *    *   *    *   *   *   *    *   * |   2   2   0   0   0   0   0   0   0 |  1  2   1  0  0
x3o . *b3x . .    12 |   12   12    0 |    4    6    0    4    0    0   0 |   * 960    *   *    *   *   *   *    *   * |   1   0   1   1   0   0   0   0   0 |  1  1   0  1  0
x3o .    . . x     6 |    6    0    3 |    2    0    3    0    0    0   0 |   *   * 1920   *    *   *   *   *    *   * |   0   1   0   1   1   0   0   0   0 |  0  1   1  1  0
x . .    x3o .     6 |    3    6    0 |    0    3    0    0    2    0   0 |   *   *    * 960    *   *   *   *    *   * |   0   0   2   0   0   1   0   0   0 |  1  0   0  2  0
x . .    x . x     8 |    4    4    4 |    0    2    2    0    0    2   0 |   *   *    *   * 1440   *   *   *    *   * |   0   0   0   2   0   1   0   0   0 |  0  1   0  2  0
x . .    . o3x     6 |    3    0    6 |    0    0    3    0    0    0   2 |   *   *    *   *    * 960   *   *    *   * |   0   0   0   0   2   1   0   0   0 |  0  0   1  2  0
. o3o *b3x . .     4 |    0    6    0 |    0    0    0    4    0    0   0 |   *   *    *   *    *   * 960   *    *   * |   1   0   0   0   0   0   1   1   0 |  1  1   0  0  1
. o . *b3x3o .     6 |    0   12    0 |    0    0    0    4    4    0   0 |   *   *    *   *    *   *   * 960    *   * |   0   0   1   0   0   0   1   0   1 |  1  0   0  1  1
. o . *b3x . x     6 |    0    6    3 |    0    0    0    2    0    3   0 |   *   *    *   *    *   *   *   * 1920   * |   0   0   0   1   0   0   0   1   1 |  0  1   0  1  1
. . .    x3o3x    12 |    0   12   12 |    0    0    0    0    4    6   4 |   *   *    *   *    *   *   *   *    * 480 |   0   0   0   0   0   1   0   0   2 |  0  0   0  2  1
---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
x3o3o *b3x . .    32 |   48   48    0 |   32   24    0   32    0    0   0 |   8   8    0   0    0   0   8   0    0   0 | 120   *   *   *   *   *   *   *   * |  1  1   0  0  0
x3o3o    . . x     8 |   12    0    4 |    8    0    6    0    0    0   0 |   2   0    4   0    0   0   0   0    0   0 |   * 480   *   *   *   *   *   *   * |  0  1   1  0  0
x3o . *b3x3o .    30 |   30   60    0 |   10   30    0   20   20    0   0 |   0   5    0  10    0   0   0   5    0   0 |   *   * 192   *   *   *   *   *   * |  1  0   0  1  0
x3o . *b3x . x    24 |   24   24   12 |    8   12   12    8    0   12   0 |   0   2    4   0    6   0   0   0    4   0 |   *   *   * 480   *   *   *   *   * |  0  1   0  1  0
x3o .    . o3x     9 |    9    0    9 |    3    0    9    0    0    0   3 |   0   0    3   0    0   3   0   0    0   0 |   *   *   *   * 640   *   *   *   * |  0  0   1  1  0
x . .    x3o3x    24 |   12   24   24 |    0   12   12    0    8   12   8 |   0   0    0   4    6   4   0   0    0   2 |   *   *   *   *   * 240   *   *   * |  0  0   0  2  0
. o3o *b3x3o .    10 |    0   30    0 |    0    0    0   20   10    0   0 |   0   0    0   0    0   0   5   5    0   0 |   *   *   *   *   *   * 192   *   * |  1  0   0  0  1
. o3o *b3x . x     8 |    0   12    4 |    0    0    0    8    0    6   0 |   0   0    0   0    0   0   2   0    4   0 |   *   *   *   *   *   *   * 480   * |  0  1   0  0  1
. o . *b3x3o3x    30 |    0   60   30 |    0    0    0   20   20   30  10 |   0   0    0   0    0   0   0   5   10   5 |   *   *   *   *   *   *   *   * 192 |  0  0   0  1  1
---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
x3o3o *b3x3o .   160 |  240  480    0 |  160  240    0  320  160    0   0 |  40  80    0  80    0   0  80  80    0   0 |  10   0  16   0   0   0  16   0   0 | 12  *   *  *  *
x3o3o *b3x . x    64 |   96   96   32 |   64   48   48   64    0   48   0 |  16  16   32   0   24   0  16   0   32   0 |   2   8   0   8   0   0   0   8   0 |  * 60   *  *  *
x3o3o    . o3x    12 |   18    0   12 |   12    0   18    0    0    0   4 |   3   0   12   0    0   6   0   0    0   0 |   0   3   0   0   4   0   0   0   0 |  *  * 160  *  *
x3o . *b3x3o3x   180 |  180  360  180 |   60  180  180  120  120  180  60 |   0  30   60  60   90  60   0  30   60  30 |   0   0   6  15  20  15   0   0   6 |  *  *   * 32  *
. o3o *b3x3o3x    60 |    0  180   60 |    0    0    0  120   60   90  20 |   0   0    0   0    0   0  30  30   60  15 |   0   0   0   0   0   0   6  15   6 |  *  *   *  * 32

x3o3x3o3o4s

demi( . . . . . . ) | 1920 |    2    6    3 |   1    6    3    6    6    6    3 |   3    6   3   2   3    6   3   1    6   6 |   3   2   1   3   2   2   3   6   3 |  1   1  2  1  3
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x . . . . . ) |    2 | 1920    *    * |   1    3    0    0    3    0    0 |   3    3   0   0   3    3   0   0    3   0 |   3   1   0   3   1   0   3   3   0 |  1   1  1  0  3
demi( . . x . . . ) |    2 |    * 5760    * |   0    1    1    2    0    1    0 |   1    2   2   1   0    1   1   0    0   2 |   2   1   1   1   0   1   0   2   2 |  1   0  1  1  2
      . . . . o4s   |    2 |    *    * 2880 |   0    0    0    0    2    2    2 |   0    0   0   0   1    2   1   1    4   4 |   0   0   0   1   2   2   2   4   2 |  0   1  2  1  2
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x3o . . . . ) |    3 |    3    0    0 | 640    *    *    *    *    *    * |   3    0   0   0   3    0   0   0    0   0 |   3   0   0   3   0   0   3   0   0 |  1   1  0  0  3
demi( x . x . . . ) |    4 |    2    2    0 |   * 2880    *    *    *    *    * |   1    2   0   0   0    1   0   0    0   0 |   2   1   0   1   0   0   0   2   0 |  1   0  1  0  2
demi( . o3x . . . ) |    3 |    0    3    0 |   *    * 1920    *    *    *    * |   1    0   2   0   0    0   1   0    0   0 |   2   0   1   1   0   0   0   0   2 |  1   0  0  1  2
demi( . . x3o . . ) |    3 |    0    3    0 |   *    *    * 3840    *    *    * |   0    1   1   1   0    0   0   0    0   1 |   1   1   1   0   0   1   0   1   1 |  1   0  1  1  1
      x . 2 . o4s   |    4 |    2    0    2 |   *    *    *    * 2880    *    * |   0    0   0   0   1    1   0   0    2   0 |   0   0   0   1   1   0   2   2   0 |  0   1  1  0  2
      . . x 2 o4s   |    4 |    0    2    2 |   *    *    *    *    * 2880    * |   0    0   0   0   0    1   1   0    0   2 |   0   0   0   1   0   1   0   2   2 |  0   0  1  1  2
sefa( . . . o3o4s ) |    3 |    0    0    3 |   *    *    *    *    *    * 1920 |   0    0   0   0   0    0   0   1    2   2 |   0   0   0   0   2   2   1   2   1 |  0   1  2  1  1
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x3o3x . . . )    12 |   12   12    0 |   4    6    4    0    0    0    0 | 480    *   *   *   *    *   *   *    *   * |   2   0   0   1   0   0   0   0   0 |  1   0  0  0  2
demi( x . x3o . . )     6 |    3    6    0 |   0    3    0    2    0    0    0 |   * 1920   *   *   *    *   *   *    *   * |   1   1   0   0   0   0   0   1   0 |  1   0  1  0  1
demi( . o3x3o . . )     6 |    0   12    0 |   0    0    4    4    0    0    0 |   *    * 960   *   *    *   *   *    *   * |   1   0   1   0   0   0   0   0   1 |  1   0  0  1  1
demi( . . x3o3o . )     4 |    0    6    0 |   0    0    0    4    0    0    0 |   *    *   * 960   *    *   *   *    *   * |   0   1   1   0   0   1   0   0   0 |  1   0  1  1  0
      x3o . 2 o4s       6 |    6    0    3 |   2    0    0    0    3    0    0 |   *    *   *   * 960    *   *   *    *   * |   0   0   0   1   0   0   2   0   0 |  0   1  0  0  2
      x 2 x 2 o4s       8 |    4    4    4 |   0    2    0    0    2    2    0 |   *    *   *   *   * 1440   *   *    *   * |   0   0   0   1   0   0   0   2   0 |  0   0  1  0  2
      . o3x 2 o4s       6 |    0    6    3 |   0    0    2    0    0    3    0 |   *    *   *   *   *    * 960   *    *   * |   0   0   0   1   0   0   0   0   2 |  0   0  0  1  2
      . . . o3o4s       4 |    0    0    6 |   0    0    0    0    0    0    4 |   *    *   *   *   *    *   * 480    *   * |   0   0   0   0   2   2   0   0   0 |  0   1  2  1  0
sefa( x 2 . o3o4s )     6 |    3    0    6 |   0    0    0    0    3    0    2 |   *    *   *   *   *    *   *   * 1920   * |   0   0   0   0   1   0   1   1   0 |  0   1  1  0  1
sefa( . . x3o3o4s )    12 |    0   12   12 |   0    0    0    4    0    6    4 |   *    *   *   *   *    *   *   *    * 960 |   0   0   0   0   0   1   0   1   1 |  0   0  1  1  1
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x3o3x3o . . )    30 |   30   60    0 |  10   30   20   20    0    0    0 |   5   10   5   0   0    0   0   0    0   0 | 192   *   *   *   *   *   *   *   * |  1   0  0  0  1
demi( x . x3o3o . )     8 |    4   12    0 |   0    6    0    8    0    0    0 |   0    4   0   2   0    0   0   0    0   0 |   * 480   *   *   *   *   *   *   * |  1   0  1  0  0
demi( . o3x3o3o . )    10 |    0   30    0 |   0    0   10   20    0    0    0 |   0    0   5   5   0    0   0   0    0   0 |   *   * 192   *   *   *   *   *   * |  1   0  0  1  0
      x3o3x 2 o4s      24 |   24   24   12 |   8   12    8    0   12   12    0 |   2    0   0   0   4    6   4   0    0   0 |   *   *   * 240   *   *   *   *   * |  0   0  0  0  2
      x 2 . o3o4s       8 |    4    0   12 |   0    0    0    0    6    0    8 |   0    0   0   0   0    0   0   2    4   0 |   *   *   *   * 480   *   *   *   * |  0   1  1  0  0
      . . x3o3o4s      32 |    0   48   48 |   0    0    0   32    0   24   32 |   0    0   0   8   0    0   0   8    0   8 |   *   *   *   *   * 120   *   *   * |  0   0  1  1  0
sefa( x3o 2 o3o4s )     9 |    9    0    9 |   3    0    0    0    9    0    3 |   0    0   0   0   3    0   0   0    3   0 |   *   *   *   *   *   * 640   *   * |  0   1  0  0  1
sefa( x 2 x3o3o4s )    24 |   12   24   24 |   0   12    0    8   12   12    8 |   0    4   0   0   0    6   0   0    4   2 |   *   *   *   *   *   *   * 480   * |  0   0  1  0  1
sefa( . o3x3o3o4s )    30 |    0   60   30 |   0    0   20   20    0   30   10 |   0    0   5   0   0    0  10   0    0   5 |   *   *   *   *   *   *   *   * 192 |  0   0  0  1  1
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x3o3x3o3o . )    60 |   60  180    0 |  20   90   60  120    0    0    0 |  15   60  30  30   0    0   0   0    0   0 |   6  15   6   0   0   0   0   0   0 | 32   *  *  *  *
      x3o 2 o3o4s      12 |   12    0   18 |   4    0    0    0   18    0   12 |   0    0   0   0   6    0   0   3   12   0 |   0   0   0   0   3   0   4   0   0 |  * 160  *  *  *
      x 2 x3o3o4s      64 |   32   96   96 |   0   48    0   64   48   48   64 |   0   32   0  16   0   24   0  16   32  16 |   0   8   0   0   8   2   0   8   0 |  *   * 60  *  *
      . o3x3o3o4s     160 |    0  480  240 |   0    0  160  320    0  240  160 |   0    0  80  80   0    0  80  40    0  80 |   0   0  16   0   0  10   0   0  16 |  *   *  * 12  *
sefa( x3o3x3o3o4s )   180 |  180  360  180 |  60  180  120  120  180  180   60 |  30   60  30   0  60   90  60   0   60  30 |   6   0   0  15   0   0  20  15   6 |  *   *  *  * 32

starting figure: x3o3x3o3o4x

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