Acronym danbitot
Name dispenteractibitruncated triacontaditeron
Field of sections
 ©
Circumradius sqrt(13)/2 = 1.802776
Vertex figure
 ©
Coordinates ((1+sqrt(2))/2, (1+sqrt(2))/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – no other uniform polyteral members)
Face vector 960, 2400, 1760, 480, 52
Confer
general polytopal classes:
Wythoffian polytera  
External
links
hedrondude   polytopewiki

As abstract polytope danbitot is automorph, thereby interchanging the roles of octagons and octagrams, resp. of tic and quith, resp. of thatoth and thaquitoth.


Incidence matrix according to Dynkin symbol

o3x3x3o *b4x4/3*c

. . . .    .      | 960 |   2   2   1 |   1   4   2   1   2 |   2  1   2  4  1 |  1  2  2
------------------+-----+-------------+---------------------+------------------+---------
. x . .    .      |   2 | 960   *   * |   1   2   1   0   0 |   2  1   1  2  0 |  1  2  1
. . x .    .      |   2 |   * 960   * |   0   2   0   1   1 |   1  0   2  2  1 |  1  1  2
. . . .    x      |   2 |   *   * 480 |   0   0   2   0   2 |   0  1   0  4  1 |  0  2  2
------------------+-----+-------------+---------------------+------------------+---------
o3x . .    .      |   3 |   3   0   0 | 320   *   *   *   * |   2  1   0  0  0 |  1  2  0
. x3x .    .      |   6 |   3   3   0 |   * 640   *   *   * |   1  0   1  1  0 |  1  1  1
. x . . *b4x      |   8 |   4   0   4 |   *   * 240   *   * |   0  1   0  2  0 |  0  2  1
. . x3o    .      |   3 |   0   3   0 |   *   *   * 320   * |   0  0   2  0  1 |  1  0  2
. . x .    x4/3*c |   8 |   0   4   4 |   *   *   *   * 240 |   0  0   0  2  1 |  0  1  2
------------------+-----+-------------+---------------------+------------------+---------
o3x3x .    .        12 |  12   6   0 |   4   4   0   0   0 | 160  *   *  *  * |  1  1  0
o3x . . *b4x        24 |  24   0  12 |   8   0   6   0   0 |   * 40   *  *  * |  0  2  0
. x3x3o    .        12 |   6  12   0 |   0   4   0   4   0 |   *  * 160  *  * |  1  0  1
. x3x . *b4x4/3*c   48 |  24  24  24 |   0   8   6   0   6 |   *  *   * 80  * |  0  1  1
. . x3o    x4/3*c   24 |   0  24  12 |   0   0   0   8   6 |   *  *   *  * 40 |  0  0  2
------------------+-----+-------------+---------------------+------------------+---------
o3x3x3o    .        30 |  30  30   0 |  10  20   0  10   0 |   5  0   5  0  0 | 32  *  *
o3x3x . *b4x4/3*c  192 | 192  96  96 |  64  64  48   0  24 |  16  8   0  8  0 |  * 10  *
. x3x3o *b4x4/3*c  192 |  96 192  96 |   0  64  24  64  48 |   0  0  16  8  8 |  *  * 10

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