Acronym skatbacadint
Name small skewtrigonary biprismatocellidispenteractitriacontiditeron
Field of sections
 ©
Circumradius 3/2 = 1.5
Vertex figure
 ©
Colonel of regiment (is itself locally convex)

As abstract polytope skatbacadint is isomorphic to gektabcadont, thereby replacing octagrams by octagons, resp. gocco by socco and stop by op, resp. gittith by steth, goccope by soccope, and tistodip by todip.


Incidence matrix according to Dynkin symbol

x3o3o3x4/3x4*c

. . . .   .    | 640 |   3   3   3 |   3   6   6   3   3   3 |   1   3   3   3   3   6   1  1  3 |  1  1  3  3  1
---------------+-----+-------------+-------------------------+-----------------------------------+---------------
x . . .   .    |   2 | 960   *   * |   2   2   2   0   0   0 |   1   2   2   1   1   2   0  0  0 |  1  1  2  1  0
. . . x   .    |   2 |   * 960   * |   0   2   0   2   0   1 |   0   1   0   2   0   2   1  0  2 |  1  0  1  2  1
. . . .   x    |   2 |   *   * 960 |   0   0   2   0   2   1 |   0   0   1   0   2   2   0  1  2 |  0  1  1  2  1
---------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o . .   .    |   3 |   3   0   0 | 640   *   *   *   *   * |   1   1   1   0   0   0   0  0  0 |  1  1  1  0  0
x . . x   .    |   4 |   2   2   0 |   * 960   *   *   *   * |   0   1   0   1   0   1   0  0  0 |  1  0  1  1  0
x . . .   x    |   4 |   2   0   2 |   *   * 960   *   *   * |   0   0   1   0   1   1   0  0  0 |  0  1  1  1  0
. . o3x   .    |   3 |   0   3   0 |   *   *   * 640   *   * |   0   0   0   1   0   0   1  0  1 |  1  0  0  1  1
. . o .   x4*c |   4 |   0   0   4 |   *   *   *   * 480   * |   0   0   0   0   1   0   0  1  1 |  0  1  0  1  1
. . . x4/3x    |   8 |   0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2   0  0  2 |  0  0  1  2  1
---------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o3o .   .       4 |   6   0   0 |   4   0   0   0   0   0 | 160   *   *   *   *   *   *  *  * |  1  1  0  0  0
x3o . x   .       6 |   6   3   0 |   2   3   0   0   0   0 |   * 320   *   *   *   *   *  *  * |  1  0  1  0  0
x3o . .   x       6 |   6   0   3 |   2   0   3   0   0   0 |   *   * 320   *   *   *   *  *  * |  0  1  1  0  0
x . o3x   .       6 |   3   6   0 |   0   3   0   2   0   0 |   *   *   * 320   *   *   *  *  * |  1  0  0  1  0
x . o .   x4*c    8 |   4   0   8 |   0   0   4   0   2   0 |   *   *   *   * 240   *   *  *  * |  0  1  0  1  0
x . . x4/3x      16 |   8   8   8 |   0   4   4   0   0   2 |   *   *   *   *   * 240   *  *  * |  0  0  1  1  0
. o3o3x   .       4 |   0   6   0 |   0   0   0   4   0   0 |   *   *   *   *   *   * 160  *  * |  1  0  0  0  1
. o3o .   x4*c    8 |   0   0  12 |   0   0   0   0   6   0 |   *   *   *   *   *   *   * 80  * |  0  1  0  0  1
. . o3x4/3x4*c   24 |   0  24  24 |   0   0   0   8   6   6 |   *   *   *   *   *   *   *  * 80 |  0  0  0  1  1
---------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o3o3x   .      20 |  30  30   0 |  20  30   0  20   0   0 |   5  10   0  10   0   0   5  0  0 | 32  *  *  *  *
x3o3o .   x4*c   64 |  96   0  96 |  64   0  96   0  48   0 |  16   0  32   0  24   0   0  8  0 |  * 10  *  *  *
x3o . x4/3x      24 |  24  12  12 |   8  12  12   0   0   3 |   0   4   4   0   0   3   0  0  0 |  *  * 80  *  *
x . o3x4/3x4*c   48 |  24  48  48 |   0  24  24  16  12  12 |   0   0   0   8   6   6   0  0  2 |  *  *  * 40  *
. o3o3x4/3x4*c   64 |   0  96  96 |   0   0   0  64  48  24 |   0   0   0   0   0   0  16  8  8 |  *  *  *  * 10

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