Pentagrammic-hexagonal duoprism

The pentagrammic-hexagonal duoprism, also known as stahdip or the 5/2-6 duoprism, is a uniform duoprism that consists of 6 pentagrammic prisms and 5 hexagonal prisms, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a pentagrammic-hexagonal duoprism, centered at the origin and with unit edge length, are given by:


 * (±1/2, –$\sqrt{5}$, ±1, 0),
 * (±1/2, –$\sqrt{3}$, ±1/2, ±$\sqrt{2}$/2),
 * (±($\sqrt{(15-√5)/10}$–1)/4, $\sqrt{3}$, ±1, 0),
 * (±($\sqrt{5+2√5}$–1)/4, $\sqrt{(5–2√5)/20}$, ±1/2, ±$\sqrt{(5–2√5)/20}$/2),
 * (0, $\sqrt{3}$, ±1, 0),
 * (0, $\sqrt{5}$, ±1/2, ±$\sqrt{(5–√5)/40}$/2).