Acronym	noqrant
Name	penteractiquasirhombated penteractitriacontaditeron
Field of sections	©
Circumradius	sqrt[25-8 sqrt(2)]/2 = 1.849749
Vertex figure	©
Coordinates	((2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (1+sqrt(2))/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment	(is itself locally convex – no other uniform polyteral members)
Face vector	1920, 4800, 4000, 1320, 132
Confer	general polytopal classes: Wythoffian polytera
External links

As abstract polytope noqrant is isomorphic to nurrant, thereby interchanging the roles of octagrams and octagons, resp. replacing quitco by girco and op by stop, resp. gaqrit by grit, todip by tistodipand thaquitpath by thatpath.

Incidence matrix according to Dynkin symbol

o3x3x3x4x4/3*c

. . . . .      | 1920 |    2   1   1   1 |   1   2   2   2   1   1   1 |   1   1   1   2  2   2  1 |  1  1  1  2
---------------+------+------------------+-----------------------------+---------------------------+------------
. x . . .      |    2 | 1920   *   *   * |   1   1   1   1   0   0   0 |   1   1   1   1  1   1  0 |  1  1  1  1
. . x . .      |    2 |    * 960   *   * |   0   2   0   0   1   1   0 |   1   0   0   2  2   0  1 |  1  1  0  2
. . . x .      |    2 |    *   * 960   * |   0   0   2   0   1   0   1 |   0   1   0   2  0   2  1 |  1  0  1  2
. . . . x      |    2 |    *   *   * 960 |   0   0   0   2   0   1   1 |   0   0   1   0  2   2  1 |  0  1  1  2
---------------+------+------------------+-----------------------------+---------------------------+------------
o3x . . .      |    3 |    3   0   0   0 | 640   *   *   *   *   *   * |   1   1   1   0  0   0  0 |  1  1  1  0
. x3x . .      |    6 |    3   3   0   0 |   * 640   *   *   *   *   * |   1   0   0   1  1   0  0 |  1  1  0  1
. x . x .      |    4 |    2   0   2   0 |   *   * 960   *   *   *   * |   0   1   0   1  0   1  0 |  1  0  1  1
. x . . x      |    4 |    2   0   0   2 |   *   *   * 960   *   *   * |   0   0   1   0  1   1  0 |  0  1  1  1
. . x3x .      |    6 |    0   3   3   0 |   *   *   *   * 320   *   * |   0   0   0   2  0   0  1 |  1  0  0  2
. . x . x4/3*c |    8 |    0   4   0   4 |   *   *   *   *   * 240   * |   0   0   0   0  2   0  1 |  0  1  0  2
. . . x4x      |    8 |    0   0   4   4 |   *   *   *   *   *   * 240 |   0   0   0   0  0   2  1 |  0  0  1  2
---------------+------+------------------+-----------------------------+---------------------------+------------
o3x3x . .      ♦   12 |   12   6   0   0 |   4   4   0   0   0   0   0 | 160   *   *   *  *   *  * |  1  1  0  0
o3x . x .      ♦    6 |    6   0   3   0 |   2   0   3   0   0   0   0 |   * 320   *   *  *   *  * |  1  0  1  0
o3x . . x      ♦    6 |    6   0   0   3 |   2   0   0   3   0   0   0 |   *   * 320   *  *   *  * |  0  1  1  0
. x3x3x .      ♦   24 |   12  12  12   0 |   0   4   6   0   4   0   0 |   *   *   * 160  *   *  * |  1  0  0  1
. x3x . x4/3*c ♦   48 |   24  24   0  24 |   0   8   0  12   0   6   0 |   *   *   *   * 80   *  * |  0  1  0  1
. x . x4x      ♦   16 |    8   0   8   8 |   0   0   4   4   0   0   2 |   *   *   *   *  * 240  * |  0  0  1  1
. . x3x4x4/3*c ♦   48 |    0  24  24  24 |   0   0   0   0   8   6   6 |   *   *   *   *  *   * 40 |  0  0  0  2
---------------+------+------------------+-----------------------------+---------------------------+------------
o3x3x3x .      ♦   60 |   60  30  30   0 |  20  20  30   0  10   0   0 |   5  10   0   5  0   0  0 | 32  *  *  *
o3x3x . x4/3*c ♦  192 |  192  96   0  96 |  64  64   0  96   0  24   0 |  16   0  32   0  8   0  0 |  * 10  *  *
o3x . x4x      ♦   24 |   24   0  12  12 |   8   0  12  12   0   0   3 |   0   4   4   0  0   3  0 |  *  * 80  *
. x3x3x4x4/3*c ♦  384 |  192 192 192 192 |   0  64  96  96  64  48  48 |   0   0   0  16  8  24  8 |  *  *  * 10