In May 2023, David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss bested their earlier “Hat” tile. They introduced a continuum of what they call “spectre” tiles that only tile aperiodically without mirroring.
I’ve created a curved version with handles on the top so that you won’t be tempted to flip any tiles over.
Handle was added using Mathematica.
The author remixed this model.