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

   3   3   3   
 o---x---x---o 
    4 \ / 4/3  
       x       

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


   3   3  3/2  
 o---x---x---o 
    4 \ / 4/3  
       x       

o3x3x3/2o *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
. . x3/2o    .      |   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
. x3x3/2o    .      ♦  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
. . x3/2o    x4/3*c ♦  24 |   0  24  12 |   0   0   0   8   6 |   *  *   *  * 40 |  0  0  2
--------------------+-----+-------------+---------------------+------------------+---------
o3x3x3/2o    .      ♦  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  *
. x3x3/2o *b4x4/3*c ♦ 192 |  96 192  96 |   0  64  24  64  48 |   0  0  16  8  8 |  *  * 10


  3/2   3   3   
 o---x---x---o 
    4 \ / 4/3  
       x       

o3/2x3x3o *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
--------------------+-----+-------------+---------------------+------------------+---------
o3/2x . .    .      |   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
--------------------+-----+-------------+---------------------+------------------+---------
o3/2x3x .    .      ♦  12 |  12   6   0 |   4   4   0   0   0 | 160  *   *  *  * |  1  1  0
o3/2x . . *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
--------------------+-----+-------------+---------------------+------------------+---------
o3/2x3x3o    .      ♦  30 |  30  30   0 |  10  20   0  10   0 |   5  0   5  0  0 | 32  *  *
o3/2x3x . *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


  3/2  3  3/2  
 o---x---x---o 
    4 \ / 4/3  
       x       

o3/2x3x3/2o *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
----------------------+-----+-------------+---------------------+------------------+---------
o3/2x .   .    .      |   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
.   . x3/2o    .      |   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
----------------------+-----+-------------+---------------------+------------------+---------
o3/2x3x   .    .      ♦  12 |  12   6   0 |   4   4   0   0   0 | 160  *   *  *  * |  1  1  0
o3/2x .   . *b4x      ♦  24 |  24   0  12 |   8   0   6   0   0 |   * 40   *  *  * |  0  2  0
.   x3x3/2o    .      ♦  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
.   . x3/2o    x4/3*c ♦  24 |   0  24  12 |   0   0   0   8   6 |   *  *   *  * 40 |  0  0  2
----------------------+-----+-------------+---------------------+------------------+---------
o3/2x3x3/2o    .      ♦  30 |  30  30   0 |  10  20   0  10   0 |   5  0   5  0  0 | 32  *  *
o3/2x3x   . *b4x4/3*c ♦ 192 | 192  96  96 |  64  64  48   0  24 |  16  8   0  8  0 |  * 10  *
.   x3x3/2o *b4x4/3*c ♦ 192 |  96 192  96 |   0  64  24  64  48 |   0  0  16  8  8 |  *  * 10

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