Acronym	daj (old: dije)
Name	disicosiheptapeton, vertex figure of nal
Circumradius	sqrt(2/3) = 0.816497
Coordinates	(0, 0, 0, 0, 0; sqrt(2/3)) (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8); 1/sqrt(24))    & all even changes of sign in one but last coord. (1/sqrt(2), 0, 0, 0, 0; -1/sqrt(6))                                                  & all permutations and all changes of sign in one but last coord.
Colonel of regiment	jak
Face vector	27, 216, 720, 1080, 783, 54
External links

Incidence matrix

  27 ♦  16 |  80 |  160 |  40  80  40 | 10 16
-----+-----+-----+------+-------------+------
   2 | 216 ♦  10 |   30 |  10  20  15 |  5 10
-----+-----+-----+------+-------------+------
   3 |   3 | 720 |    6 |   3   6   6 |  3  6
-----+-----+-----+------+-------------+------
♦  4 |   6 |   4 | 1080 |   1   2   2 |  2  3
-----+-----+-----+------+-------------+------
♦  5 |  10 |  10 |    5 | 216   *   * |  2  0
♦  5 |  10 |  10 |    5 |   * 432   * |  1  1
♦  8 |  24 |  32 |   16 |   *   * 135 |  0  2
-----+-----+-----+------+-------------+------
♦ 10 |  40 |  80 |   80 |  16  16   0 | 27  *
♦ 16 |  80 | 160 |  120 |   0  16  10 |  * 27