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 rap tisdip tistodip wavitoth
gatopin 10004000000
gipbin 010400803280800
fawdint 010000320010
& others)

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

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