This chiral polyhedral compound was generated from a partial faceting of the polyhedron shown in the last post here, using Stella 4d‘s faceting function, plus its “try to make faces regular” operation afterwards. Making the six-prism compound in the first place was suggested by Tony Hartley, on Facebook, where I posted a link to that last post in a mathematical group for discussion. Thanks, Tony!
I found this by further stellation of the polyhedra shown in the two posts right before this one, using a program called Stella 4d: Polyhedron Navigator. You can try Stella for free at http://www.software3d.com/Stella.php.