The Louvre

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains one regular pentagon.
• Contains one regular 10-pointed star polygon with vertex angle of 108°.
• There are three non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 133 polygons.

1. Photo by David Wade: LOU 018 (No location, Egypt) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(14th century AD)
2. Part 3, Plate ? (Fatehpur Sikri, The Large Baths, India) of E W Smith,. The Moghul Architecture of Fathpur-Sikri, Archaeological Survey of India, 1896. [smith2] (1581AD, 989AH)
3. Figure 34 (No colouring in the original) of A. J. Lee. Islamic star patterns, Muqarnas vol. 4. pp182-197 Pressmark PP.8.M, 1987. [lee] {Important paper on star patterns} Available on Internet.

• Wade photo LOU 018

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