Acronym cappin Name celliprismated penteract,steritruncated pentacross Circumradius sqrt[15+6 sqrt(2)]/2 = 2.423081 Vertex figure ` ©` Coordinates ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign General of army (is itself convex) Colonel of regiment (is itself locally convex – other uniform polyteral members: setitdin   & others) Confer related segmentotera: prittip Externallinks

Incidence matrix according to Dynkin symbol

```x3x3o3o4x

. . . . . | 640 |   1   3   3 |   3   3   3   6   3 |   3   6   3   1   3   3  1 |  1  3  3  1  1
----------+-----+-------------+---------------------+----------------------------+---------------
x . . . . |   2 | 320   *   * |   3   3   0   0   0 |   3   6   3   0   0   0  0 |  1  3  3  1  0
. x . . . |   2 |   * 960   * |   1   0   2   2   0 |   2   2   0   1   2   1  0 |  1  2  1  0  1
. . . . x |   2 |   *   * 960 |   0   1   0   2   2 |   0   2   2   0   1   2  1 |  0  1  2  1  1
----------+-----+-------------+---------------------+----------------------------+---------------
x3x . . . |   6 |   3   3   0 | 320   *   *   *   * |   2   2   0   0   0   0  0 |  1  2  1  0  0
x . . . x |   4 |   2   0   2 |   * 480   *   *   * |   0   2   2   0   0   0  0 |  0  1  2  1  0
. x3o . . |   3 |   0   3   0 |   *   * 640   *   * |   1   0   0   1   1   0  0 |  1  1  0  0  1
. x . . x |   4 |   0   2   2 |   *   *   * 960   * |   0   1   0   0   1   1  0 |  0  1  1  0  1
. . . o4x |   4 |   0   0   4 |   *   *   *   * 480 |   0   0   1   0   0   1  1 |  0  0  1  1  1
----------+-----+-------------+---------------------+----------------------------+---------------
x3x3o . . ♦  12 |   6  12   0 |   4   0   4   0   0 | 160   *   *   *   *   *  * |  1  1  0  0  0
x3x . . x ♦  12 |   6   6   6 |   2   3   0   3   0 |   * 320   *   *   *   *  * |  0  1  1  0  0
x . . o4x ♦   8 |   4   0   8 |   0   4   0   0   2 |   *   * 240   *   *   *  * |  0  0  1  1  0
. x3o3o . ♦   4 |   0   6   0 |   0   0   4   0   0 |   *   *   * 160   *   *  * |  1  0  0  0  1
. x3o . x ♦   6 |   0   6   3 |   0   0   2   3   0 |   *   *   *   * 320   *  * |  0  1  0  0  1
. x . o4x ♦   8 |   0   4   8 |   0   0   0   4   2 |   *   *   *   *   * 240  * |  0  0  1  0  1
. . o3o4x ♦   8 |   0   0  12 |   0   0   0   0   6 |   *   *   *   *   *   * 80 |  0  0  0  1  1
----------+-----+-------------+---------------------+----------------------------+---------------
x3x3o3o . ♦  20 |  10  30   0 |  10   0  20   0   0 |   5   0   0   5   0   0  0 | 32  *  *  *  *
x3x3o . x ♦  24 |  12  24  12 |   8   6   8  12   0 |   2   4   0   0   4   0  0 |  * 80  *  *  *
x3x . o4x ♦  24 |  12  12  24 |   4  12   0  12   6 |   0   4   3   0   0   3  0 |  *  * 80  *  *
x . o3o4x ♦  16 |   8   0  24 |   0  12   0   0  12 |   0   0   6   0   0   0  2 |  *  *  * 40  *
. x3o3o4x ♦  64 |   0  96  96 |   0   0  64  96  48 |   0   0   0  16  32  24  8 |  *  *  *  * 10
```