Acronym	sibtadin
Name	small biprismatotriacontadiadispenteract
Field of sections	©
Circumradius	sqrt[23+10 sqrt(2)]/2 = 3.047217
Vertex figure	©
Coordinates	((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army	prin
Colonel of regiment	prin
Face vector	960, 2880, 2720, 1000, 132
Confer	general polytopal classes: Wythoffian polytera
External links

As abstract polytope sibtadin is isomorphic to gibtadin, thereby replacing octagons by octagrams, resp. girco by quitco and socco by gocco, resp. grit by gaqrit and sichado by gichado. – As such sibtadin is a lieutenant.

Incidence matrix according to Dynkin symbol

o3x3x3o4/3x4*c

. . . .   .    | 960 |   2   2   2 |   1   4   4   1   2   1 |   2   2   2  4   2  1 |  1  2  1  2
---------------+-----+-------------+-------------------------+-----------------------+------------
. x . .   .    |   2 | 960   *   * |   1   2   2   0   0   0 |   2   2   1  2   1  0 |  1  2  1  1
. . x .   .    |   2 |   * 960   * |   0   2   0   1   1   0 |   1   0   2  2   0  1 |  1  1  0  2
. . . .   x    |   2 |   *   * 960 |   0   0   2   0   1   1 |   0   1   0  2   2  1 |  0  1  1  2
---------------+-----+-------------+-------------------------+-----------------------+------------
o3x . .   .    |   3 |   3   0   0 | 320   *   *   *   *   * |   2   2   0  0   0  0 |  1  2  1  0
. x3x .   .    |   6 |   3   3   0 |   * 640   *   *   *   * |   1   0   1  1   0  0 |  1  1  0  1
. x . .   x    |   4 |   2   0   2 |   *   * 960   *   *   * |   0   1   0  1   1  0 |  0  1  1  1
. . x3o   .    |   3 |   0   3   0 |   *   *   * 320   *   * |   0   0   2  0   0  1 |  1  0  0  2
. . x .   x4*c |   8 |   0   4   4 |   *   *   *   * 240   * |   0   0   0  2   0  1 |  0  1  0  2
. . . o4/3x    |   4 |   0   0   4 |   *   *   *   *   * 240 |   0   0   0  0   2  1 |  0  0  1  2
---------------+-----+-------------+-------------------------+-----------------------+------------
o3x3x .   .    ♦  12 |  12   6   0 |   4   4   0   0   0   0 | 160   *   *  *   *  * |  1  1  0  0
o3x . .   x    ♦   6 |   6   0   3 |   2   0   3   0   0   0 |   * 320   *  *   *  * |  0  1  1  0
. x3x3o   .    ♦  12 |   6  12   0 |   0   4   0   4   0   0 |   *   * 160  *   *  * |  1  0  0  1
. x3x .   x4*c ♦  48 |  24  24  24 |   0   8  12   0   6   0 |   *   *   * 80   *  * |  0  1  0  1
. x . o4/3x    ♦   8 |   4   0   8 |   0   0   4   0   0   2 |   *   *   *  * 240  * |  0  0  1  1
. . x3o4/3x4*c ♦  24 |   0  24  24 |   0   0   0   8   6   6 |   *   *   *  *   * 40 |  0  0  0  2
---------------+-----+-------------+-------------------------+-----------------------+------------
o3x3x3o   .    ♦  30 |  30  30   0 |  10  20   0  10   0   0 |   5   0   5  0   0  0 | 32  *  *  *
o3x3x .   x4*c ♦ 192 | 192  96  96 |  64  64  96   0  24   0 |  16  32   0  8   0  0 |  * 10  *  *
o3x . o4/3x    ♦  12 |  12   0  12 |   4   0  12   0   0   3 |   0   4   0  0   3  0 |  *  * 80  *
. x3x3o4/3x4*c ♦ 192 |  96 192 192 |   0  64  96  64  48  48 |   0   0  16  8  24  8 |  *  *  * 10