Triangular-pentagonal duoprism

The triangular-pentagonal duoprism or trapedip, also known as the 3-5 duoprism, is a uniform duoprism that consists of 3 pentagonal prisms and 5 triangular prisms, with two of each at each vertex.

Vertex coordinates
Coordinates for the vertices of a triangular-pentagonal duoprism with edge length 1 are given by:
 * (0, $\sqrt{3(25+10√5)}$/3, 0, $\sqrt{15+6√5}$),
 * (0, $\sqrt{3}$/3, ±(1+$\sqrt{(5+√5)/10}$)/4, $\sqrt{3}$),
 * (0, $\sqrt{5}$/3, ±1/2, –$\sqrt{(5+√5)/40}$),
 * (±1/2, –$\sqrt{3}$/6, 0, $\sqrt{(5+2√5)/20}$),
 * (±1/2, –$\sqrt{3}$/6, ±(1+$\sqrt{(5+√5)/10}$)/4, $\sqrt{3}$),
 * (±1/2, –$\sqrt{5}$/6, ±1/2, –$\sqrt{(5+√5)/40}$).