Acronym scatnit
Name small cellitrispenteractitriacontaditeron
Circumradius sqrt[17+4 sqrt(2)]/2 = 2.379961
Coordinates (1+2 sqrt(2), 1+sqrt(2), sqrt(2)-1, 1, 1)/2   & all permutations, all changes of sign
Colonel of regiment sibacadint
Face vector 1920, 6720, 5920, 1600, 102
Confer
general polytopal classes:
Wythoffian polytera  

As abstract polytope scatnit is isomorphic to gactanet, thereby interchanging the roles of octagons and octagrams, resp. replacing the girco by quitco, stop by op, and interchanging the roles of socco and gocco, resp. replacing the thatpath by thaquitpath, goccope by soccope, and sichado by gichado.


Incidence matrix according to Dynkin symbol

                       _x     
                    _- /|     
                _3- 4/3 |     
             _-     /   |     
  x---3---x<---4---x    3     
             -_     \   |     
                3/2   4 |     
                    -_ \|     
                       -o     
x3x4x4/3x3o3/2*b3*d *c4*e

. . .   . .               | 1920 |   1    2    2    2 |   2   2   2   2   2   1   2   1   1 |  2   2   1   2   1   1  2  1   1  1 |  2  1  1  1  1
--------------------------+------+--------------------+-------------------------------------+-------------------------------------+---------------
x . .   . .               |    2 | 960    *    *    * |   2   2   2   0   0   0   0   0   0 |  2   2   1   2   1   1  0  0   0  0 |  2  1  1  1  0
. x .   . .               |    2 |   * 1920    *    * |   1   0   0   1   1   1   0   0   0 |  1   1   1   0   0   0  1  1   1  0 |  1  1  1  0  1
. . x   . .               |    2 |   *    * 1920    * |   0   1   0   1   0   0   1   1   0 |  1   0   0   1   1   0  1  1   0  1 |  1  1  0  1  1
. . .   x .               |    2 |   *    *    * 1920 |   0   0   1   0   1   0   1   0   1 |  0   1   0   1   0   1  1  0   1  1 |  1  0  1  1  1
--------------------------+------+--------------------+-------------------------------------+-------------------------------------+---------------
x3x .   . .               |    6 |   3    3    0    0 | 640   *   *   *   *   *   *   *   * |  1   1   1   0   0   0  0  0   0  0 |  1  1  1  0  0
x . x   . .               |    4 |   2    0    2    0 |   * 960   *   *   *   *   *   *   * |  1   0   0   1   1   0  0  0   0  0 |  1  1  0  1  0
x . .   x .               |    4 |   2    0    0    2 |   *   * 960   *   *   *   *   *   * |  0   1   0   1   0   1  0  0   0  0 |  1  0  1  1  0
. x4x   . .               |    8 |   0    4    4    0 |   *   *   * 480   *   *   *   *   * |  1   0   0   0   0   0  1  1   0  0 |  1  1  0  0  1  {8}
. x .   x .   *b3*d       |    6 |   0    3    0    3 |   *   *   *   * 640   *   *   *   * |  0   1   0   0   0   0  1  0   1  0 |  1  0  1  0  1
. x .   . o3/2*b          |    3 |   0    3    0    0 |   *   *   *   *   * 640   *   *   * |  0   0   1   0   0   0  0  1   1  0 |  0  1  1  0  1
. . x4/3x .               |    8 |   0    0    4    4 |   *   *   *   *   *   * 480   *   * |  0   0   0   1   0   0  1  0   0  1 |  1  0  0  1  1  {8/3}
. . x   . o         *c4*e |    4 |   0    0    4    0 |   *   *   *   *   *   *   * 480   * |  0   0   0   0   1   0  0  1   0  1 |  0  1  0  1  1
. . .   x3o               |    3 |   0    0    0    3 |   *   *   *   *   *   *   *   * 640 |  0   0   0   0   0   1  0  0   1  1 |  0  0  1  1  1
--------------------------+------+--------------------+-------------------------------------+-------------------------------------+---------------
x3x4x   . .                  48 |  24   24   24    0 |   8  12   0   6   0   0   0   0   0 | 80   *   *   *   *   *  *  *   *  * |  1  1  0  0  0
x3x .   x .   *b3*d          24 |  12   12    0   12 |   4   0   6   0   4   0   0   0   0 |  * 160   *   *   *   *  *  *   *  * |  1  0  1  0  0
x3x .   . o3/2*b             12 |   6   12    0    0 |   4   0   0   0   0   4   0   0   0 |  *   * 160   *   *   *  *  *   *  * |  0  1  1  0  0
x . x4/3x .                  16 |   8    0    8    8 |   0   4   4   0   0   0   2   0   0 |  *   *   * 240   *   *  *  *   *  * |  1  0  0  1  0
x . x   . o         *c4*e     8 |   4    0    8    0 |   0   4   0   0   0   0   0   2   0 |  *   *   *   * 240   *  *  *   *  * |  0  1  0  1  0
x . .   x3o                   6 |   3    0    0    6 |   0   0   3   0   0   0   0   0   2 |  *   *   *   *   * 320  *  *   *  * |  0  0  1  1  0
. x4x4/3x .   *b3*d          48 |   0   24   24   24 |   0   0   0   6   8   0   6   0   0 |  *   *   *   *   *   * 80  *   *  * |  1  0  0  0  1
. x4x   . o3/2*b    *c4*e    24 |   0   24   24    0 |   0   0   0   6   0   8   0   6   0 |  *   *   *   *   *   *  * 80   *  * |  0  1  0  0  1
. x .   x3o3/2*b3*d          12 |   0   12    0   12 |   0   0   0   0   4   4   0   0   4 |  *   *   *   *   *   *  *  * 160  * |  0  0  1  0  1
. . x4/3x3o         *c4*e    24 |   0    0   24   24 |   0   0   0   0   0   0   6   6   8 |  *   *   *   *   *   *  *  *   * 80 |  0  0  0  1  1
--------------------------+------+--------------------+-------------------------------------+-------------------------------------+---------------
x3x4x4/3x .   *b3*d         384 | 192  192  192  192 |  64  96  96  48  64   0  48   0   0 |  8  16   0  24   0   0  8  0   0  0 | 10  *  *  *  *
x3x4x   . o3/2*b    *c4*e   192 |  96  192  192    0 |  64  96   0  48   0  64   0  48   0 |  8   0  16   0  24   0  0  8   0  0 |  * 10  *  *  *
x3x .   x3o3/2*b3*d          60 |  30   60    0   60 |  20   0  30   0  20  20   0   0  20 |  0   5   5   0   0  10  0  0   5  0 |  *  * 32  *  *
x . x4/3x3o         *c4*e    48 |  24    0   48   48 |   0  24  24   0   0   0  12  12  16 |  0   0   0   6   6   8  0  0   0  2 |  *  *  * 40  *
. x4x4/3x3o3/2*b3*d *c4*e   192 |   0  192  192  192 |   0   0   0  48  64  64  48  48  64 |  0   0   0   0   0   0  8  8  16  8 |  *  *  *  * 10

                       _x     
                    _- /|     
                _3- 4/3 |     
             _-     /   |     
  x---3---x<---4---x   3/2    
             -_     \   |     
                -3_ 4/3 |     
                    -_ \|     
                       -o     
x3x4x4/3x3/2o3*b3*d *c4/3*e

. . .   .   .               | 1920 |   1    2    2    2 |   2   2   2   2   2   1   2   1   1 |  2   2   1   2   1   1  2  1   1  1 |  2  1  1  1  1
----------------------------+------+--------------------+-------------------------------------+-------------------------------------+---------------
x . .   .   .               |    2 | 960    *    *    * |   2   2   2   0   0   0   0   0   0 |  2   2   1   2   1   1  0  0   0  0 |  2  1  1  1  0
. x .   .   .               |    2 |   * 1920    *    * |   1   0   0   1   1   1   0   0   0 |  1   1   1   0   0   0  1  1   1  0 |  1  1  1  0  1
. . x   .   .               |    2 |   *    * 1920    * |   0   1   0   1   0   0   1   1   0 |  1   0   0   1   1   0  1  1   0  1 |  1  1  0  1  1
. . .   x   .               |    2 |   *    *    * 1920 |   0   0   1   0   1   0   1   0   1 |  0   1   0   1   0   1  1  0   1  1 |  1  0  1  1  1
----------------------------+------+--------------------+-------------------------------------+-------------------------------------+---------------
x3x .   .   .               |    6 |   3    3    0    0 | 640   *   *   *   *   *   *   *   * |  1   1   1   0   0   0  0  0   0  0 |  1  1  1  0  0
x . x   .   .               |    4 |   2    0    2    0 |   * 960   *   *   *   *   *   *   * |  1   0   0   1   1   0  0  0   0  0 |  1  1  0  1  0
x . .   x   .               |    4 |   2    0    0    2 |   *   * 960   *   *   *   *   *   * |  0   1   0   1   0   1  0  0   0  0 |  1  0  1  1  0
. x4x   .   .               |    8 |   0    4    4    0 |   *   *   * 480   *   *   *   *   * |  1   0   0   0   0   0  1  1   0  0 |  1  1  0  0  1  {8}
. x .   x   . *b3*d         |    6 |   0    3    0    3 |   *   *   *   * 640   *   *   *   * |  0   1   0   0   0   0  1  0   1  0 |  1  0  1  0  1
. x .   .   o3*b            |    3 |   0    3    0    0 |   *   *   *   *   * 640   *   *   * |  0   0   1   0   0   0  0  1   1  0 |  0  1  1  0  1
. . x4/3x   .               |    8 |   0    0    4    4 |   *   *   *   *   *   * 480   *   * |  0   0   0   1   0   0  1  0   0  1 |  1  0  0  1  1  {8/3}
. . x   .   o       *c4/3*e |    4 |   0    0    4    0 |   *   *   *   *   *   *   * 480   * |  0   0   0   0   1   0  0  1   0  1 |  0  1  0  1  1
. . .   x3/2o               |    3 |   0    0    0    3 |   *   *   *   *   *   *   *   * 640 |  0   0   0   0   0   1  0  0   1  1 |  0  0  1  1  1
----------------------------+------+--------------------+-------------------------------------+-------------------------------------+---------------
x3x4x   .   .                  48 |  24   24   24    0 |   8  12   0   6   0   0   0   0   0 | 80   *   *   *   *   *  *  *   *  * |  1  1  0  0  0
x3x .   x   . *b3*d            24 |  12   12    0   12 |   4   0   6   0   4   0   0   0   0 |  * 160   *   *   *   *  *  *   *  * |  1  0  1  0  0
x3x .   .   o3*b               12 |   6   12    0    0 |   4   0   0   0   0   4   0   0   0 |  *   * 160   *   *   *  *  *   *  * |  0  1  1  0  0
x . x4/3x   .                  16 |   8    0    8    8 |   0   4   4   0   0   0   2   0   0 |  *   *   * 240   *   *  *  *   *  * |  1  0  0  1  0
x . x   .   o       *c4/3*e     8 |   4    0    8    0 |   0   4   0   0   0   0   0   2   0 |  *   *   *   * 240   *  *  *   *  * |  0  1  0  1  0
x . .   x3/2o                   6 |   3    0    0    6 |   0   0   3   0   0   0   0   0   2 |  *   *   *   *   * 320  *  *   *  * |  0  0  1  1  0
. x4x4/3x   . *b3*d            48 |   0   24   24   24 |   0   0   0   6   8   0   6   0   0 |  *   *   *   *   *   * 80  *   *  * |  1  0  0  0  1
. x4x   .   o3*b    *c4/3*e    24 |   0   24   24    0 |   0   0   0   6   0   8   0   6   0 |  *   *   *   *   *   *  * 80   *  * |  0  1  0  0  1
. x .   x3/2o3*b3*d            12 |   0   12    0   12 |   0   0   0   0   4   4   0   0   4 |  *   *   *   *   *   *  *  * 160  * |  0  0  1  0  1
. . x4/3x3/2o       *c4/3*e    24 |   0    0   24   24 |   0   0   0   0   0   0   6   6   8 |  *   *   *   *   *   *  *  *   * 80 |  0  0  0  1  1
----------------------------+------+--------------------+-------------------------------------+-------------------------------------+---------------
x3x4x4/3x   . *b3*d           384 | 192  192  192  192 |  64  96  96  48  64   0  48   0   0 |  8  16   0  24   0   0  8  0   0  0 | 10  *  *  *  *
x3x4x   .   o3*b    *c4/3*e   192 |  96  192  192    0 |  64  96   0  48   0  64   0  48   0 |  8   0  16   0  24   0  0  8   0  0 |  * 10  *  *  *
x3x .   x3/2o3*b3*d            60 |  30   60    0   60 |  20   0  30   0  20  20   0   0  20 |  0   5   5   0   0  10  0  0   5  0 |  *  * 32  *  *
x . x4/3x3/2o       *c4/3*e    48 |  24    0   48   48 |   0  24  24   0   0   0  12  12  16 |  0   0   0   6   6   8  0  0   0  2 |  *  *  * 40  *
. x4x4/3x3/2o3*b3*d *c4/3*e   192 |   0  192  192  192 |   0   0   0  48  64  64  48  48  64 |  0   0   0   0   0   0  8  8  16  8 |  *  *  *  * 10

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