This single shape creates a pattern that never repeats
David Smith, Joseph Myers, Chaim Goodman-Strauss, Craig S. Kaplan
Mathematicians have discovered a single shape that can be used to completely cover a surface without creating repeating patterns. The long-sought shape is surprisingly simple, but it took decades to discover. It could be used for anything from materials science to decoration.
Simple shapes such as squares and equilateral triangles can be tiled in repeating patterns familiar to anyone who’s ever seen a bathroom wall, or they can cover surfaces without gaps. Mathematicians are interested in…
