Smooth Version
The polyhedral version is very simple. You can indeed imagine an infinite number of them and build them from cardboard. By making two holes to pass the eyes, on the "square back," you can check that the central cuspidal point, viewed from this angle, is indeed identical to the other one. This is what I did in 85 when presenting the object at a Lacanian psychoanalysis congress, in Aix-en-Provence.
The 400 psychoanalysts then seriously passed the object around, to visually confirm this "identification" (I also showed that one could "merge" the two points). Thus, the fundamental fantasy dear to Lacan had two linguistic phalluses instead of one.
Unresolved (psychoanalytic) problem.