You coy 2-manifold you
You take out your trusty möbius band from your utility belt and with one deft movement attach the mysterious dark figure to the boundary of the band. He shrieks in agony as the realisation sets in that he is now non-orientable and thus no longer poses a threat to you. Looking around you notice some wary police officers who have become suspicious of your hand-waving topological tantrum. You sprint off quickly and before you know it you run into a cupboard, guess you should've remembered to open your eyes. Nearby there is a pier but no speedboat, only a hovercraft. Do you?