Pentagonal-tetrahedral duoprism

The pentagonal-tetrahedral duoprism or petet is a convex uniform duoprism that consists of 5 tetrahedral prisms and 4 triangular-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-tetrahedral duoprism of edge length 1 are given by all even sign changes of the last three coordinates of:
 * (0, $\sqrt{350+40√5}$/10, $\sqrt{50+10√5}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±(1+$\sqrt{2}$)/4, $\sqrt{5}$/20, $\sqrt{50–10√5}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±1/2, –$\sqrt{2}$/10, $\sqrt{25+10√5}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)