Not all tessellations repeat. Such a pattern (if it can be called that) is described as "aperiodic." Below are three versions of Penrose Tiling, named after English mathematical physicist Rodger ...

one that he called a “spectre” that could tile the plane without requiring reflected copies. A true einstein had finally appeared. We are now in the midst of a resurgence in the mathematical ...

One of the oldest problems in geometry asks which shapes tile the plane, locking together with copies of themselves to cover a flat area in an endless pattern called a tessellation. M.C. Escher’s ...

Earlier this spring, tiling aficionados thought maybe they’d found the shape of their dreams. Now they’re certain. By Siobhan Roberts In March, a team of mathematical tilers announced their ...

Medieval Islamic designers used elaborate geometrical tiling patterns at least 500 ... used to decorate Islamic buildings but the advanced mathematical concept within the patterns was not ...