Decagonal-icosahedral duoprism

The decagonal-icosahedral duoprism or dike is a convex uniform duoprism that consists of 10 icosahedral prisms and 20 triangular-decagonal duoprisms.

Vertex coordinates
The vertices of a decagonal-icosahedral duoprism of edge length 1 are given by all even permutations and all sign changes of the last three coordinates of:
 * (0, ±(1+$\sqrt{34+10√5}$)/2, 0, 1/2, (1+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, 1/2, (1+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/2, ±1/2, 0, 1/2, (1+$\sqrt{5+2√5}$)/4)