At some point in your life you've probably created a tiling on a piece of paper. Take a shape and repeat it infinitely across the plane by matching up sides, leaving no gaps anywhere. The simplest ...

Tiling the plane with a single pattern is a mathematical problem that has interested humans since Antiquity, notably for the aesthetic quality of tiles in mosaics or tiling. One of the unresolved ...

Consider the ceramic on the floor beneath you. Those squares or rectangles tile the plane. That's a mathematical term, and finding a new shape that covers a flat surface using only exact copies of ...