Geometry
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Geometry
Anything to do with symmetrical patterns, tiling and geometry
Curated by Antony Coombs
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Saudi Aramco World : The Tiles of Infinity

Saudi Aramco World : The Tiles of Infinity | Geometry | Scoop.it
Traveling through the Silk Road cities of Samarkand and Bukhara, Peter Lu noticed ornamental tile patterns so complex that the principles underlying them have been articulated by mathematicians only in the last four decades.
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Decagonal and Quasi-crystalline Tilings in Medieval Islamic Architecture | peterlu.org

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 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.

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Geopersia™ Interactive Girih

Geopersia.com is a fun game where you can create very cool designs, you can also see patterns of ancient art as you create your own master pieces.
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