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 100040000000
gipbin 0104008003280800
fawdint 0100000320010
quappin 00008010328000
& others)
Face vector 320, 1440, 1440, 480, 52
Confer
general polytopal classes:
Wythoffian polytera  
External
links
polytopewiki  

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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