All but the two cuploids seem to be a group of polyhedra formerly unknown. They can be regarded and manipulated with the Cortona-Player. They were found with the program "hedron" by Jim McNeill. They are still waiting to be realized as paper models. R. Klitzing inspired me to use pentagrams for these constructions. The third model in the first row was modified by R. Webb. Alex Doskey gave me good advice.