aperiodic tiling

This pattern with kite-shaped tiles can be extended to cover any area, but however big we make it, the pattern never repeats itself. Alison Boyle investigates aperiodic tilings, which have had unexpected applications in describing new crystal structures.

Tags: tessellation : periodic tiling : aperiodic tiling : quasiperiodicity : quasicrystal : penrose tiling : escher

Will we ever be able to make computers that think and feel? If not, why not? And what has all this got to do with tiles? Plus talks to Sir Roger Penrose about all this and more.

Tags: tessellation : aperiodic tiling : Grand Unified Theory : quantum mechanics : Turing test : artificial intelligence : complex number : human consciousness : non-algorithmic thought : non-recursive mathematics

Mathematicians offer new proof of quasicrystals' strange electronic properties.

Tags: geometry : aperiodic tiling : penrose tiling : physics : crystallography : Schrödinger equation