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 ...

IT may not be generally known that the Theorem of Pythagoras, Euclid I. 47, is closely connected with the Theory of Repeating Patterns in space of two dimensions. The simplest proof by dissection of ...

SOME correspondence appeared in NATURE in 1938 about the phenomenon described by Brewster 1, which is obtained by focusing on a surface covered by a repeating pattern while converging on a point ...

Scientists say that while ordinary crystals repeat precisely, quasicrystals maintain order even though their patterns fail to repeat perfectly.