Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture

  title={Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture},
  author={Peter J. Lu and Paul J. Steinhardt},
  pages={1106 - 1110}
The conventional view holds that girih (geometric star-and-polygon, or strapwork) patterns in medieval Islamic architecture were conceived by their designers as a network of zigzagging lines, where the lines were drafted directly with a straightedge and a compass. We show that by 1200 C.E. a conceptual breakthrough occurred 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… Expand
Response to Comment on "Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture"
Historically accurate reconstructions show that Darb-i Imam is unique, the only known example that does not repeat periodically and that displays a self-similar transformation enabling its continuation ad infinitum to a perfect quasi-crystalline pattern. Expand
Comment on "Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture"
It is demonstrated that the Darb-i Imam pattern is periodic and that the quasi-crystalline discs superimposed on its lattice are derivatives of the Maragha pattern. Expand
Quasi-Periodicity in Medieval and Islamic architecture and ornament
A recent article in Science by Lu and Steinhardt has caused a controversy over whether Medieval Islamic tilings are examples of aperiodic and quasiperiodic tilings. The tilings have five- or ten-foldExpand
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Medieval Islamic Architecture, Quasicrystals, and Penrose and Girih Tiles: Questions from the Classroom
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Conference proceedings
Copyright and Reprint Permissions: Abstracting is permitted with credit to the source. Libraries are permitted to photocopy beyond the limits of U.S. copyright law for private use of patrons thoseExpand
Penrose Tiles To Trapdoor Ciphers
Penrose tiles to trapdoor ciphers , Penrose tiles to trapdoor ciphers , کتابخانه دیجیتال جندی شاپور اهواز
The Topkapi Scroll: Geometry and Ornament in Islamic Architecture (Getty Center for the History of Art and the Humanities
  • Santa Monica,
  • 1995