• A chiral aperiodic monotile, the Spectre.
• An aperiodic monotile: The Hat, a single shape that can only tile the plane non-periodically.
• Lots of Aperiodic Sets of Tiles: If one isn’t enough, how about 25,380 different aperiodic sets? Here are some pix pulled from the paper.

• The trilobite and crab are a simple pair of shapes that enforce the “L” substitution system, though the full proof is not simple at all.
• A description of Aperiodic Hierarchical Tiling.

more coming soon…