Acronym fawdint
Field of sections
` ©`
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 rap tisdip tistodip wavitoth gatopin 10 0 0 40 0 0 0 0 0 gipbin 0 10 40 0 80 32 80 80 0 fawdint 0 10 0 0 0 32 0 0 10
& others)
External

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
```