Remember the graph paper you used at school, the kind that's covered with tiny squares? It's the perfect illustration of what mathematicians call a "periodic tiling of space", with shapes covering an ...
The original version of this story appeared in Quanta Magazine. If you want to tile a bathroom floor, square tiles are the simplest option—they fit together without any gaps in a grid pattern that can ...
Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...
The shape 'chiral', which achieves aperiodic tiling, is shown filling a plane without a repeating pattern. Courtesy of David Smith Amateur mathematicians have discovered a shape that can infinitely ...
A database, collecting and classifying tile-like patterns in biology, aims to be a resource and research catalyst. The human eye is drawn to the rhythmic beauty of tiled patterns, which occur ...
Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...