Early in the morning during festivals, many Indian homes wake up to patterns forming quietly at the doorstep. White powder falls in steady lines. Dots appear fi ...

Frank A. Farris does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

Pattern formation in physical, biological, and sociological systems has been studied for many years. One area where it has been of growing interest is in crime modeling. Pattern formation in physical, ...

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 ...