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

Use this resource: Use this resource icon
Link to this page: http://core.materials.ac.uk/search/detail.php?id=3735
View at:        
Resource type: Text
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 ( ).
Copyright logo This work is subject to copyright. Copyright is a set of exclusive rights granted to the author or creator of an original work, including the right to copy, distribute and adapt the work. Copyright owners have the exclusive statutory right to exercise control over copying and other exploitation of the works for a specific period of time, after which the work is said to enter the public domain. Uses covered under limitations and exceptions to copyright, such as fair use, do not require permission from the copyright owner. All other uses require permission and copyright owners can license or permanently transfer or assign their exclusive rights to others.
View the full legal code here.
Date created: 25 September 2006
Date added: 10 October 2011
Resource ID: 3735