Rectangular-pyramidal 1-bidodecahedral swirlprism

The rectangular-pyramidal 1-bidodecahedral swirlprism is a convex isogonal polychoron, formed as a convex hull of two hexacosichora in a way that leaves five corealmic vertices corresponding to a rectangular pyramid. It consists of 240 skew rectangular pyramids, 720 phyllic disphenoids of three kinds, and 480 irregular tetrahedra. 1

It can be constructed as a subsymmetrical faceting of the rectified hexacosichoron. 5 rectangular pyramids, 12 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex.