Islamic Quasicrystal Tilings
The references below describes the evidence that Islamic artisans constructed quasicrystals tilings hundreds of years before Roger Penrose invented his famous tilings and before the concept of quasicrystals was even formulated.
P.J. Lu, P.J. Steinhardt
Decagonal and quasi-crystalline tilings in medieval Islamic Architecture
Science 315. (2007) 1106
and
Compilation of Relevant Islamic Tilings
Supplementary material
The evolution of Islamic girih tllings between the 13th and 15th centuries that culminated in a tessellation with nearly perfect quasicrystalline order in the Darb-i Imam shrine in Isfahan, five centuries before the discovery of Penrose tilings and quasicrystals in the West.
