These triangular tiles by Brooklyn studio GRT Architects can be arranged to look like the fluted columns of ancient Greek and Roman buildings, or rotated to form abstract patterns. Produced by ...

A possible solution has been discovered in a series of shapes found by Roger Penrose in 1974. These shapes fit together to tile a plane, yet they can have five and ten-fold symmetry.

The Reed tile can be arranged diagonally, unaligned, rotated, or quilted. In this example, a Single Reed tile wall follows the “Perfect Reed” arrangement, with each fold located approximately ...