Toledo tile, V& A

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• There are three non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 163 polygons.

1. 357-1876 (Toledo, Spain. Tile) of V&A collections website. Website: collections.vam.ac.uk, UK, 2015. [vami] {Website}(1500-25AD, 905-31AH)
2. Photo by David Wade: MOR 2816x (Bou Inania Madrasah, Fez, Morocco) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}

• V&A record Tile
• Wade photo MOR 2816x

• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

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