Girih Tiles

The five Girih tiles (from the Persian word meaning "knot") are the fundamental patterns of Islamic art, in use since the 13th century. A tile has every edge of the same length, interior angles from the set 72°, 108°, 144°, or 216°, and a polygonal line that meets the sides at the midpoints; when two tiles touch on a common side, the two line segments form a straight angle. Girih tiles closely resemble Penrose tiles.
To rotate a piece, click near the center of a tile. To translate a piece, click not too close to the center and drag.

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References
[1] Wikipedia. "Girih Tiles." (Oct 18, 2012) en.wikipedia.org/wiki/Girih_tiles.
[2] S. R. Prange, "The Tiles of Infinity," Saudi Aramco World, 60(5), 2009 pp. 24–31.
[3] P. J. Lu and P. J. Steinhardt, "Decagonal and Quasicrystalline Tilings in Medieval Islamic Architecture," Science, 315(5815), 2007 pp. 1106-1110.
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