Acronym	nottant
Name	penteractitruncated penteractitriacontaditeron
Field of sections	©
Circumradius	sqrt[13+4 sqrt(2)]/2 = 2.159679
Vertex figure	©
Coordinates	((1+sqrt(2))/2, (1+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	640, 1600, 1280, 440, 52
Confer	general polytopal classes: Wythoffian polytera
External links

As abstract polytope nottant is isomorphic to naquitant, thereby interchanging the roles of octagrams and octagons, resp. replacing tic by quith, resp. tat by quitit, and thatoth by thaquitoth.

Incidence matrix according to Dynkin symbol

o3o3x3x4/3x4*c

. . . .   .    | 640 |   3   1   1 |   3   3   3  1 |   1   3  3  3 |  1  1  3
---------------+-----+-------------+----------------+---------------+---------
. . x .   .    |   2 | 960   *   * |   2   1   1  0 |   1   2  2  1 |  1  1  2
. . . x   .    |   2 |   * 320   * |   0   3   0  1 |   0   3  0  3 |  1  0  3
. . . .   x    |   2 |   *   * 320 |   0   0   3  1 |   0   0  3  3 |  0  1  3
---------------+-----+-------------+----------------+---------------+---------
. o3x .   .    |   3 |   3   0   0 | 640   *   *  * |   1   1  1  0 |  1  1  1
. . x3x   .    |   6 |   3   3   0 |   * 320   *  * |   0   2  0  1 |  1  0  2
. . x .   x4*c |   8 |   4   0   4 |   *   * 240  * |   0   0  2  1 |  0  1  2
. . . x4/3x    |   8 |   0   4   4 |   *   *   * 80 |   0   0  0  3 |  0  0  3
---------------+-----+-------------+----------------+---------------+---------
o3o3x .   .    ♦   4 |   6   0   0 |   4   0   0  0 | 160   *  *  * |  1  1  0
. o3x3x   .    ♦  12 |  12   6   0 |   4   4   0  0 |   * 160  *  * |  1  0  1
. o3x .   x4*c ♦  24 |  24   0  12 |   8   0   6  0 |   *   * 80  * |  0  1  1
. . x3x4/3x4*c ♦  48 |  24  24  24 |   0   8   6  6 |   *   *  * 40 |  0  0  2
---------------+-----+-------------+----------------+---------------+---------
o3o3x3x   .    ♦  20 |  30  10   0 |  20  10   0  0 |   5   5  0  0 | 32  *  *
o3o3x .   x4*c ♦  64 |  96   0  32 |  64   0  24  0 |  16   0  8  0 |  * 10  *
. o3x3x4/3x4*c ♦ 192 | 192  96  96 |  64  64  48 24 |   0  16  8  8 |  *  * 10