Does the attractor need the shape to be regular for the forces to be balanced in some way? What I mean is, can you make shapes like the 3x3x2 which arent regular solids?
But just like Tyler's question, can you make master pyraminxes, etc. What about pentultimate? See http://www.byrden.com/puzzles/MainFrames.html
There is also a nice icosahedral puzzle (the second one on the list). Could these puzzles be made with the attractor?