Improved "einstein tiles" (aperiodic monotiles) with hidden snap fittings

An aperiodic monotile was discovered in 2023 by David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss. It is “a single shape which tiles the plane, and can’t be arranged to have translational symmetry.” The discoverers call the shape a “hat” (though it looks a lot more like a v-neck T shirt to me). It is also sometimes called an “einstein” tile, punning on German for “one stone" (I find this confusing, and don't like it, but I seem to be outvoted. It has nothing to do with Albert Einstein, anyway.)

To make these usable, I have added snap tabs on the sides. I had a previous design, which you can look at, but I think this is an improvement. The tabs extend only slightly from the tile edge, but fit into matching holes. They are designed to lock in place, and the tabs are fully hidden where tiles snap together. The geometry of the tiling only depends on the main shape, not the snaps, and in some cases, these tiles adjoin with two holes. The snaps are, however, sufficient to hold the tiles well, and the assembly is liftable.

I have placed a small circle on the underside to identify flipped tiles. For a more visible effect, I recommend printing into two colors, as I have done here, by switching the filament midway through printing.

Snapping depends on very precise spacing. These printed well at this size on a Flashforge Adventurer 3 Pro 2. Please let me know if you have any trouble getting them to make on your printer.