Dodecagonal-icosahedral duoprism

The dodecagonal-icosahedral duoprism or twike is a convex uniform duoprism that consists of 12 icosahedral prisms and 20 triangular-dodecagonal duoprisms.

Vertex coordinates
The vertices of a dodecagonal-icosahedral duoprism of edge length 1 are given by all even permutations and all sign changes of the last three coordinates of:
 * (±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{18-6√5}$)/2, 0, 1/2, (1+$\sqrt{3}$)/4)
 * (±1/2, ±(2+$\sqrt{3}$)/2, 0, 1/2, (1+$\sqrt{5}$)/4)
 * (±(2+$\sqrt{3}$)/2, ±1/2, 0, 1/2, (1+$\sqrt{5}$)/4)