Pentadiminished pentagonal duoprism

The pentadiminished pentagonal duoprism is a convex isogonal polychoron that consists of 5 tetragonal disphenoids and 10 parabidiminished pentagonal prisms.

It can be constructed by removing an inscribed pentachoron (considered as a 5-2 step prism) of edge length $\sqrt{10+2√5}$/2 from a pentagonal duoprism.