www.tweedledum.com/rwg/semisesquisphericon.png, www.tweedledum.com/rwg/quinquangularsphericon.png A single (nonplanar) face is divided by a single edge into--a single face. www.tweedledum.com/rwg/pentagrammaticsphericon.png A single (nonplanar) face is divided by two edges into--a single face. I may have seen the first one as an oriental snack package. Anyway, you should be able to curl (not fold) them from single paper cutouts. I wonder if they're patented as packaging or something. --rwg