Quasi-Crystalline Pattern

Tile pattern at Darb-i Imam shrine in Iran, built in 1453

A Quasicrystal is a structurally ordered pattern but is not repeated at regular intervals. In the 1970s Mathematician Roger Penrose was able to describe similar patterns and reproduce the Aperiodic Tiling.

Quasicrystal pattern on a sunflower head

Professor Dan Shechtman discusses his discovery of Quasicrystal in this video.

Referenced Links:
Reuters Article on Quasicrystals in Arabic Tile

http://wonderfulscience.blog.com/2011/10/07/quasicrystal/

http://paintasyoulike.tumblr.com/