Girih Tiles

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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.


Contributed by: Enrique Zeleny (November 2012)
Open content licensed under CC BY-NC-SA




[1] Wikipedia. "Girih Tiles." (Oct 18, 2012)

[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.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.