Feature Column from the AMS

An Aperiodic Tiling

This is a tiling of the plane with just two tiles, the "trilobite" and the"cross". Any such tiling must be aperiodic (i.e., can never repeat itself).The construction generalizes to any dimension Euclidean space.

An aperiodic tiling by Chaim Goodman-Strauss, 1995. Copyright by The Geometry Center, University of Minnesota. Used with permission.

- Steven Weintraub