Pentagonal-hexagonal duoprism

The pentagonal-hexagonal duoprism or phiddip, also known as the 5-6 duoprism, is a uniform duoprism that consists of 5 hexagonal prisms, 6 pentagonal prisms and 30 vertices.

Vertex coordinates
Coordinates for the vertices of a pentagonal-hexagonal duoprism with edge length 1 are given by:
 * (0, $\sqrt{(15+√5)/10}$, 0, ±1),
 * (0, $\sqrt{(5+√5)/10}$, ±$\sqrt{(5+√5)/10}$/2, ±1/2),
 * (±(1+$\sqrt{3}$)/4, $\sqrt{5}$, 0, ±1),
 * (±(1+$\sqrt{(5+√5)/40}$)/4, $\sqrt{5}$, ±$\sqrt{(5+√5)/40}$/2, ±1/2),
 * (±1/2, –$\sqrt{3}$, 0, ±1),
 * (±1/2, –$\sqrt{(5+2√5)/20}$, ±$\sqrt{(5+2√5)/20}$/2, ±1/2).