I modified my 3D-printable spectre montile so they fit together easily. This single tile tiles the plane aperiodically and only aperiodically. It is obtained from the polygonal tile by adding or removing semicircles on each unit-length edge.

Download: https://www.thingiverse.com/thing:6053252

More info: https://arxiv.org/abs/2305.17743

Spectre: a chiral aperiodic monotile by divbyzero

This 3d-printable tile is based on the one discovered by David Smith, Joseph Samuel Meyers, Craig S. Kaplan, and Chaim Goodman-Strauss in May 2023 (see: https://arxiv.org/abs/2305.17743). It is an example of an "einstein"—a single shape that tiles the plane aperiodically. Unlike their earlier tiles—the "hat" and the "turtle"—this tile, which the authors call a "spectre" does not require any tiles to be flipped upside down in order to tile the plane aperiodically. (In fact, if we allow reflections, then it is possible to tile the plane periodically with the spectre tile.)

Here you can see a little more clearly how the two shapes are related.