Decagonal-truncated cubic duoprism

The decagonal-truncated cubic duoprism or datic is a convex uniform duoprism that consists of 10 truncated cubic prisms, 6 octagonal-decagonal duoprisms and 8 triangular-decagonal duoprisms.

Vertex coordinates
The vertices of a decagonal-truncated cubic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, ±(1+$\sqrt{13+2√13+4√10}$)/2, 1/2, (1+$\sqrt{5}$)/2, (1+$\sqrt{2}$)/2)
 * (±$\sqrt{2}$/4, ±(3+$\sqrt{10+2√5}$)/4, 1/2, (1+$\sqrt{5}$)/2, (1+$\sqrt{2}$)/2)
 * (±$\sqrt{2}$/2, ±1/2, 1/2, (1+$\sqrt{5+2√5}$)/2, (1+$\sqrt{2}$)/2)