Acronym	wavinant
Name	sphenoverted penteractipenteractitriacontaditeron
Field of sections	©
Circumradius	sqrt[11-6 sqrt(2)]/2 = 0.792893
Vertex figure	©
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	(is itself locally convex – other uniform polyteral members: by cells: qrit quithip quitit rap tepe tistodip wavitoth quarn 10 0 0 32 80 0 0 gafwan 0 40 10 0 80 80 0 wavinant 0 0 10 32 0 0 10   & others)
Face vector	320, 1280, 1280, 440, 52
Confer	general polytopal classes: Wythoffian polytera
External links

As abstract polytope wavinant is isomorphic to rawn, thereby replacing octagrams by octagons, resp. quith by tic and gocco by socco, resp. quitit by tat and wavitoth by rawvatoth.

Incidence matrix according to Dynkin symbol

o3o3x3o4x4/3*c

. . . . .      | 320 |   6   2 |   6   3   6  1 |   2   3  6  3 |  1  2  3
---------------+-----+---------+----------------+---------------+---------
. . x . .      |   2 | 960   * |   2   1   1  0 |   1   2  2  1 |  1  1  2
. . . . x      |   2 |   * 320 |   0   0   3  1 |   0   0  3  3 |  0  1  3
---------------+-----+---------+----------------+---------------+---------
. o3x . .      |   3 |   3   0 | 640   *   *  * |   1   1  1  0 |  1  1  1
. . x3o .      |   3 |   3   0 |   * 320   *  * |   0   2  0  1 |  1  0  2
. . x . x4/3*c |   8 |   4   4 |   *   * 240  * |   0   0  2  1 |  0  1  2
. . . o4x      |   4 |   0   4 |   *   *   * 80 |   0   0  0  3 |  0  0  3
---------------+-----+---------+----------------+---------------+---------
o3o3x . .      ♦   4 |   6   0 |   4   0   0  0 | 160   *  *  * |  1  1  0
. o3x3o .      ♦   6 |  12   0 |   4   4   0  0 |   * 160  *  * |  1  0  1
. o3x . x4/3*c ♦  24 |  24  12 |   8   0   6  0 |   *   * 80  * |  0  1  1
. . x3o4x4/3*c ♦  24 |  24  24 |   0   8   6  6 |   *   *  * 40 |  0  0  2
---------------+-----+---------+----------------+---------------+---------
o3o3x3o .      ♦  10 |  30   0 |  20  10   0  0 |   5   5  0  0 | 32  *  *
o3o3x . x4/3*c ♦  64 |  96  32 |  64   0  24  0 |  16   0  8  0 |  * 10  *
. o3x3o4x4/3*c ♦  96 | 192  96 |  64  64  48 24 |   0  16  8  8 |  *  * 10