Pentagonal double prismantiprismoid

The pentagonal double prismantiprismoid is a convex isogonal polychoron and the fourth member of the double prismantiprismoid family. It consists of 20 pentagonal antiprisms, 20 pentagonal prisms, 50 rectangular trapezoprisms, 200 isosceles trapezoidal pyramids, 50 tetragonal disphenoids, and 100 digonal disphenoids. 1 pentagonal prism, 1 pentagonal antiprism, 2 rectangular trapezoprisms, 5 isosceles trapezoidal pyramids, 1 tetragonal disphenoid, and 2 digonal disphenoids join at each vertex. It can be obtained as the convex hull of two orthogonal pentagonal-decagonal prismantiprismoids. However, it cannot be made scaliform.

A variant with uniform pentagonal antiprisms and pentagonal prisms can be vertex-inscribed into a swirlprismatodiminished rectified hexacosichoron or rectified hexacosichoron.