Acronym quacrant
Name quasicellirhombipenteractitriacontiditeron
Circumradius sqrt[17-8 sqrt(2)]/2 = 1.192297
Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment wacbinant  
Face vector 960, 3840, 4720, 2080, 242
Confer
general polytopal classes:
Wythoffian polytera  
External
links
polytopewiki

As abstract polytope quacrant is isomorphic to carnit, thereby replacing querco with sirco, resp. quercope by sircope and qrit by srit.


Incidence matrix according to Dynkin symbol

x3o3x3o4/3x

. . . .   . | 960 |   2    4   2 |   1   4   4   2   2   4   1 |   2   2   2   4   2   1   2  2 |  1  2  1  2  1
------------+-----+--------------+-----------------------------+--------------------------------+---------------
x . . .   . |   2 | 960    *   * |   1   2   2   0   0   0   0 |   2   2   1   2   1   0   0  0 |  1  2  1  1  0
. . x .   . |   2 |   * 1920   * |   0   1   0   1   1   1   0 |   1   0   1   1   0   1   1  1 |  1  1  0  1  1
. . . .   x |   2 |   *    * 960 |   0   0   2   0   0   2   1 |   0   1   0   2   2   0   1  2 |  0  1  1  2  1
------------+-----+--------------+-----------------------------+--------------------------------+---------------
x3o . .   . |   3 |   3    0   0 | 320   *   *   *   *   *   * |   2   2   0   0   0   0   0  0 |  1  2  1  0  0
x . x .   . |   4 |   2    2   0 |   * 960   *   *   *   *   * |   1   0   1   1   0   0   0  0 |  1  1  0  1  0
x . . .   x |   4 |   2    0   2 |   *   * 960   *   *   *   * |   0   1   0   1   1   0   0  0 |  0  1  1  1  0
. o3x .   . |   3 |   0    3   0 |   *   *   * 640   *   *   * |   1   0   0   0   0   1   1  0 |  1  1  0  0  1
. . x3o   . |   3 |   0    3   0 |   *   *   *   * 640   *   * |   0   0   1   0   0   1   0  1 |  1  0  0  1  1
. . x .   x |   4 |   0    2   2 |   *   *   *   *   * 960   * |   0   0   0   1   0   0   1  1 |  0  1  0  1  1
. . . o4/3x |   4 |   0    0   4 |   *   *   *   *   *   * 240 |   0   0   0   0   2   0   0  2 |  0  0  1  2  1
------------+-----+--------------+-----------------------------+--------------------------------+---------------
x3o3x .   .   12 |  12   12   0 |   4   6   0   4   0   0   0 | 160   *   *   *   *   *   *  * |  1  1  0  0  0
x3o . .   x    6 |   6    0   3 |   2   0   3   0   0   0   0 |   * 320   *   *   *   *   *  * |  0  1  1  0  0
x . x3o   .    6 |   3    6   0 |   0   3   0   0   2   0   0 |   *   * 320   *   *   *   *  * |  1  0  0  1  0
x . x .   x    8 |   4    4   4 |   0   2   2   0   0   2   0 |   *   *   * 480   *   *   *  * |  0  1  0  1  0
x . . o4/3x    8 |   4    0   8 |   0   0   4   0   0   0   2 |   *   *   *   * 240   *   *  * |  0  0  1  1  0
. o3x3o   .    6 |   0   12   0 |   0   0   0   4   4   0   0 |   *   *   *   *   * 160   *  * |  1  0  0  0  1
. o3x .   x    6 |   0    6   3 |   0   0   0   2   0   3   0 |   *   *   *   *   *   * 320  * |  0  1  0  0  1
. . x3o4/3x   24 |   0   24  24 |   0   0   0   0   8  12   6 |   *   *   *   *   *   *   * 80 |  0  0  0  1  1
------------+-----+--------------+-----------------------------+--------------------------------+---------------
x3o3x3o   .   30 |  30   60   0 |  10  30   0  20  20   0   0 |   5   0  10   0   0   5   0  0 | 32  *  *  *  *
x3o3x .   x   24 |  24   24  12 |   8  12  12   8   0  12   0 |   2   4   0   6   0   0   4  0 |  * 80  *  *  *
x3o . o4/3x   12 |  12    0  12 |   4   0  12   0   0   0   3 |   0   4   0   0   3   0   0  0 |  *  * 80  *  *
x . x3o4/3x   48 |  24   48  48 |   0  24  24   0  16  24  12 |   0   0   8  12   6   0   0  2 |  *  *  * 40  *
. o3x3o4/3x   96 |   0  192  96 |   0   0   0  64  64  96  24 |   0   0   0   0   0  16  32  8 |  *  *  *  * 10

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