Octagonal-icosahedral duoprism

The octagonal-icosahedral duoprism or oike is a convex uniform duoprism that consists of 8 icosahedral prisms and 20 triangular-octagonal duoprisms.

Vertex coordinates
The vertices of an octagonal-icosahedral duoprism of edge length 1 are given by all even permutations and all sign changes of the last three coordinates of:
 * (±1/2, ±(1+$\sqrt{26+2√37+8√10}$)/2, 0, 1/2, (1+$\sqrt{2}$)/4)
 * (±(1+$\sqrt{5}$)/2, ±1/2, 0, 1/2, (1+$\sqrt{2}$)/4)