Aperiodic Monotile Pipes

This is a decorated version of the Hat aperiodic monotile.

It includes three “pipes” joining the √3 sides of that tile. The result is quite mesmerizing, with an aesthetic reminiscent of the Tantrix/Palago-style puzzles and the Celtic Knot-style art.

This version is easy to print, fully reversible and uses less than 1.85 g of material per tile.

It is an open problem to determine which “pipe circuits” can be produced either respecting the “hat aperiodic monotiling rules” or not (i.e. leaving holes).