Square-icosahedral duoprism

The square-icosahedral duoprism or squike is a convex uniform duoprism that consists of 4 icosahedral prisms and 20 triangular-square duoprisms.

Vertex coordinates
The vertices of a square-icosahedral duoprism of edge length 1 are given by all even permutations and all sign changes of the last three coordinates of:
 * (±1/2, ±1/2, 0, 1/2, (1+$\sqrt{18+2√5}$)/4)