Acronym danpit Name dispenteractiprismated triacontaditeron Field of sections ` ©` Circumradius 5/2 = 2.5 Vertex figure ` ©` Colonel of regiment (is itself locally convex – no other uniform polyteral members) Externallinks

As abstract polytope danpit is automorph, thereby interchanging the roles of octagons and octagrams, resp. of girco and quitco, of op and stop, resp. of thatpath and thaquitpath, and of gircope and quitcope.

Incidence matrix according to Dynkin symbol

```x3x3x3x *b4x4/3*c
. . . .    .      | 3840 |    1    1    1    1    1 |   1   1   1   1   1   1   1   1   1   1 |   1   1  1   1   1   1   1  1   1  1 |  1  1  1  1  1
------------------+------+--------------------------+-----------------------------------------+--------------------------------------+---------------
x . . .    .      |    2 | 1920    *    *    *    * |   1   1   1   1   0   0   0   0   0   0 |   1   1  1   1   1   1   0  0   0  0 |  1  1  1  1  0
. x . .    .      |    2 |    * 1920    *    *    * |   1   0   0   0   1   1   1   0   0   0 |   1   1  1   0   0   0   1  1   1  0 |  1  1  1  0  1
. . x .    .      |    2 |    *    * 1920    *    * |   0   1   0   0   1   0   0   1   1   0 |   1   0  0   1   1   0   1  1   0  1 |  1  1  0  1  1
. . . x    .      |    2 |    *    *    * 1920    * |   0   0   1   0   0   1   0   1   0   1 |   0   1  0   1   0   1   1  0   1  1 |  1  0  1  1  1
. . . .    x      |    2 |    *    *    *    * 1920 |   0   0   0   1   0   0   1   0   1   1 |   0   0  1   0   1   1   0  1   1  1 |  0  1  1  1  1
------------------+------+--------------------------+-----------------------------------------+--------------------------------------+---------------
x3x . .    .      |    6 |    3    3    0    0    0 | 640   *   *   *   *   *   *   *   *   * |   1   1  1   0   0   0   0  0   0  0 |  1  1  1  0  0
x . x .    .      |    4 |    2    0    2    0    0 |   * 960   *   *   *   *   *   *   *   * |   1   0  0   1   1   0   0  0   0  0 |  1  1  0  1  0
x . . x    .      |    4 |    2    0    0    2    0 |   *   * 960   *   *   *   *   *   *   * |   0   1  0   1   0   1   0  0   0  0 |  1  0  1  1  0
x . . .    x      |    4 |    2    0    0    0    2 |   *   *   * 960   *   *   *   *   *   * |   0   0  1   0   1   1   0  0   0  0 |  0  1  1  1  0
. x3x .    .      |    6 |    0    3    3    0    0 |   *   *   *   * 640   *   *   *   *   * |   1   0  0   0   0   0   1  1   0  0 |  1  1  0  0  1
. x . x    .      |    4 |    0    2    0    2    0 |   *   *   *   *   * 960   *   *   *   * |   0   1  0   0   0   0   1  0   1  0 |  1  0  1  0  1
. x . . *b4x      |    8 |    0    4    0    0    4 |   *   *   *   *   *   * 480   *   *   * |   0   0  1   0   0   0   0  1   1  0 |  0  1  1  0  1
. . x3x    .      |    6 |    0    0    3    3    0 |   *   *   *   *   *   *   * 640   *   * |   0   0  0   1   0   0   1  0   0  1 |  1  0  0  1  1
. . x .    x4/3*c |    8 |    0    0    4    0    4 |   *   *   *   *   *   *   *   * 480   * |   0   0  0   0   1   0   0  1   0  1 |  0  1  0  1  1
. . . x    x      |    4 |    0    0    0    2    2 |   *   *   *   *   *   *   *   *   * 960 |   0   0  0   0   0   1   0  0   1  1 |  0  0  1  1  1
------------------+------+--------------------------+-----------------------------------------+--------------------------------------+---------------
x3x3x .    .      ♦   24 |   12   12   12    0    0 |   4   6   0   0   4   0   0   0   0   0 | 160   *  *   *   *   *   *  *   *  * |  1  1  0  0  0
x3x . x    .      ♦   12 |    6    6    0    6    0 |   2   0   3   0   0   3   0   0   0   0 |   * 320  *   *   *   *   *  *   *  * |  1  0  1  0  0
x3x . . *b4x      ♦   48 |   24   24    0    0   24 |   8   0   0  12   0   0   6   0   0   0 |   *   * 80   *   *   *   *  *   *  * |  0  1  1  0  0
x . x3x    .      ♦   12 |    6    0    6    6    0 |   0   3   3   0   0   0   0   2   0   0 |   *   *  * 320   *   *   *  *   *  * |  1  0  0  1  0
x . x .    x4/3*c ♦   16 |    8    0    8    0    8 |   0   4   0   4   0   0   0   0   2   0 |   *   *  *   * 240   *   *  *   *  * |  0  1  0  1  0
x . . x    x      ♦    8 |    4    0    0    4    4 |   0   0   2   2   0   0   0   0   0   2 |   *   *  *   *   * 480   *  *   *  * |  0  0  1  1  0
. x3x3x    .      ♦   24 |    0   12   12   12    0 |   0   0   0   0   4   6   0   4   0   0 |   *   *  *   *   *   * 160  *   *  * |  1  0  0  0  1
. x3x . *b4x4/3*c ♦   48 |    0   24   24    0   24 |   0   0   0   0   8   0   6   0   6   0 |   *   *  *   *   *   *   * 80   *  * |  0  1  0  0  1
. x . x *b4x      ♦   16 |    0    8    0    8    8 |   0   0   0   0   0   4   2   0   0   4 |   *   *  *   *   *   *   *  * 240  * |  0  0  1  0  1
. . x3x    x4/3*c ♦   48 |    0    0   24   24   24 |   0   0   0   0   0   0   0   8   6  12 |   *   *  *   *   *   *   *  *   * 80 |  0  0  0  1  1
------------------+------+--------------------------+-----------------------------------------+--------------------------------------+---------------
x3x3x3x    .      ♦  120 |   60   60   60   60    0 |  20  30  30   0  20  30   0  20   0   0 |   5  10  0  10   0   0   5  0   0  0 | 32  *  *  *  *
x3x3x . *b4x4/3*c ♦  384 |  192  192  192    0  192 |  64  96   0  96  64   0  48   0  48   0 |  16   0  8   0  24   0   0  8   0  0 |  * 10  *  *  *
x3x . x *b4x      ♦   96 |   48   48    0   48   48 |  16   0  24  24   0  24  12   0   0  24 |   0   8  2   0   0  12   0  0   6  0 |  *  * 40  *  *
x . x3x    x4/3*c ♦   96 |   48    0   48   48   48 |   0  24  24  24   0   0   0  16  12  24 |   0   0  0   8   6  12   0  0   0  2 |  *  *  * 40  *
. x3x3x *b4x4/3*c ♦  384 |    0  192  192  192  192 |   0   0   0   0  64  96  48  64  48  96 |   0   0  0   0   0   0  16  8  24  8 |  *  *  *  * 10
```