Acronym	han
Name	hexadecapenteract, vertex figure of daj
Field of sections	©
Circumradius	sqrt(5/8) = 0.790569
Vertex figure	©
Coordinates	(1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8))   & all even permutations, all even changes of sign
Colonel of regiment	hin
Face vector	16, 80, 160, 160, 26
External links

Incidence matrix

  16 ♦ 10 |  30 | 10 20 15 |  5 10
-----+----+-----+----------+------
   2 | 80 |   6 |  3  6  6 |  3  6
-----+----+-----+----------+------
   3 |  3 | 160 |  1  2  2 |  2  3
-----+----+-----+----------+------
♦  4 |  6 |   4 | 40  *  * |  2  0
♦  4 |  6 |   4 |  * 80  * |  1  1
♦  6 | 12 |   8 |  *  * 40 |  0  2
-----+----+-----+----------+------
♦  8 | 24 |  32 |  8  8  0 | 10  *
♦ 10 | 30 |  30 |  0  5  5 |  * 16