This is going to be extremely interesting as different cuts will be explored along with different numbering conventions and combinations. One trihexaflexagon configuration would be enough to keep one busy for quite a while. With the two different trihexaflexagon configurations that are now available there appears to be no end in sight for the inquisitive.
The analyses could become quite extensive when examining different number assignments and subsequent results from the cuttings. Origami enthusiasts would find endless cuts and patterns to explore. Possibly even other 'magic flexagons' could be created.
Want to really get into the 'cutting' edge? Another course of infinite
possibilities would be exploring cutting chains of flexagons. The easiest chain would be made by using the half twist trihexaflexagon. Using VELCRO or a similar connecting method would enable the insertion of one flexagon into another forming a link. Then, cuts and the ensuing phenomena could be explored. Again, we will just have to wait and see what unfolds.