Acronym	fawdint
Name	frustisphenary dispenteractitriacontaditeron, fastegiverted dispenteractitriacontaditeron
Field of sections	©
Circumradius	sqrt(2)-1/2 = 0.914214
Vertex figure	©
Coordinates	((sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment	(is itself locally convex – uniform polyteral members: by cells: gaqript gittith goccope grohp ope quidpith rap tisdip tistodip wavitoth gatopin 10 0 0 40 0 0 0 0 0 0 gipbin 0 10 40 0 80 0 32 80 80 0 fawdint 0 10 0 0 0 0 32 0 0 10 quappin 0 0 0 0 80 10 32 80 0 0 & others)
Face vector	320, 1440, 1440, 480, 52
Confer	general polytopal classes: Wythoffian polytera
External links

As abstract polytope fawdint is isomorphic to sirpin, thereby replacing octagrams by octagons, resp. quith by tic and gocco by socco, resp. gittith by steth and wavitoth by rawvatoth.

Incidence matrix according to Dynkin symbol

o3x3o3o *b4/3x4*c

. . . .      .    | 320 |   6   3 |   3   6   6   3 |   3  3   2  6  1 |  1  3  2
------------------+-----+---------+-----------------+------------------+---------
. x . .      .    |   2 | 960   * |   1   2   1   0 |   2  1   1  2  0 |  1  2  1
. . . .      x    |   2 |   * 480 |   0   0   2   2 |   0  1   0  4  1 |  0  2  2
------------------+-----+---------+-----------------+------------------+---------
o3x . .      .    |   3 |   3   0 | 320   *   *   * |   2  1   0  0  0 |  1  2  0
. x3o .      .    |   3 |   3   0 |   * 640   *   * |   1  0   1  1  0 |  1  1  1
. x . . *b4/3x    |   8 |   4   4 |   *   * 240   * |   0  1   0  2  0 |  0  2  1
. . o .      x4*c |   4 |   0   4 |   *   *   * 240 |   0  0   0  2  1 |  0  1  2
------------------+-----+---------+-----------------+------------------+---------
o3x3o .      .    ♦   6 |  12   0 |   4   4   0   0 | 160  *   *  *  * |  1  1  0
o3x . . *b4/3x    ♦  24 |  24  12 |   8   0   6   0 |   * 40   *  *  * |  0  2  0
. x3o3o      .    ♦   4 |   6   0 |   0   4   0   0 |   *  * 160  *  * |  1  0  1
. x3o . *b4/3x4*c ♦  24 |  24  24 |   0   8   6   6 |   *  *   * 80  * |  0  1  1
. . o3o      x4*c ♦   8 |   0  12 |   0   0   0   6 |   *  *   *  * 40 |  0  0  2
------------------+-----+---------+-----------------+------------------+---------
o3x3o3o      .    ♦  10 |  30   0 |  10  20   0   0 |   5  0   5  0  0 | 32  *  *
o3x3o . *b4/3x4*c ♦  96 | 192  96 |  64  64  48  24 |  16  8   0  8  0 |  * 10  *
. x3o3o *b4/3x4*c ♦  64 |  96  96 |   0  64  24  48 |   0  0  16  8  8 |  *  * 10