Text icon  Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture

 
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Description: This is a scientific article, which shows that by 1200 C.E. a conceptual breakthrough occurred in medieval Islamic architecture, in which girih patterns were reconceived as tessellations of a special set of equilateral polygons ("girih tiles") decorated with lines. These tiles enabled the creation of increasingly complex periodic girih patterns, and by the 15th century, the tessellation approach was combined with self-similar transformations to construct nearly perfect quasi-crystalline Penrose patterns, five centuries before their discovery in the West. Eventually, it emerged that the atoms in the quasicrystals were arranged like Penrose tiling patterns. The article is published in Science 315, 1106 (2007); DOI: 10.1126/science.1135491.
Keywords: Penrose tiling • girih pattern • polygon • non-periodic • crystal structure • quasicrystal
Categories: Science approaches > Structure, bonding & defects > Atomic structure
Science approaches > Structure, bonding & defects > Crystal structure
Applications > Arts & crafts
Created by: Peter J. Lu, Department of Physics and SEAS, Harvard University, Cambridge, Massachusetts
Paul J. Steinhardt, Princeton Center for Theoretical Science, Princeton University, Princeton
Published by: American Association for the Advancement of Science
License: This resource is released under the Copyright license ( ).
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Date created: 25 September 2006
Date added: 10 October 2011
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Resource ID: 3735