Acronym	nurrant
Name	penteractirhombated penteractitriacontaditeron
Field of sections	©
Circumradius	sqrt[25+8 sqrt(2)]/2 = 3.013043
Vertex figure	©
Coordinates	((1+2 sqrt(2))/2, (1+2 sqrt(2))/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 nurrant is isomorphic to noqrant, thereby interchanging the roles of octagrams and octagons, resp. replacing girco by quitco and stop by op, resp. grit by gaqrit, tistodip by todipand thatpath by thaquitpath.

Incidence matrix according to Dynkin symbol

o3x3x3x4/3x4*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*c |    8 |    0   4   0   4 |   *   *   *   *   * 240   * |   0   0   0   0  2   0  1 |  0  1  0  2
. . . x4/3x    |    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*c ♦   48 |   24  24   0  24 |   0   8   0  12   0   6   0 |   *   *   *   * 80   *  * |  0  1  0  1
. x . x4/3x    ♦   16 |    8   0   8   8 |   0   0   4   4   0   0   2 |   *   *   *   *  * 240  * |  0  0  1  1
. . x3x4/3x4*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*c ♦  192 |  192  96   0  96 |  64  64   0  96   0  24   0 |  16   0  32   0  8   0  0 |  * 10  *  *
o3x . x4/3x    ♦   24 |   24   0  12  12 |   8   0  12  12   0   0   3 |   0   4   4   0  0   3  0 |  *  * 80  *
. x3x3x4/3x4*c ♦  384 |  192 192 192 192 |   0  64  96  96  64  48  48 |   0   0   0  16  8  24  8 |  *  *  * 10