Seville 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 one regular 8-pointed star polygon with vertex angle of 45°.
• There are 6 non-regular reflective tiles (including one kite and one dart).
• The tiling satisfies the interlace condition and has two finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 281 polygons.

1. 1005:73 to 84-1884 (Seville, Spain. Tile, tin-glazed earthenware) of V&A collections website. Website: collections.vam.ac.uk, UK, 2015. [vami] {Website}(1300-1500AD, 699-905AH)
2. Page 26, middle (El Badi Palace, Marrakesh, Morocco) of Robert Field. Geometric Patterns from Islamic Art and Architecture, Tarquin Publications, 1998. ISBN 189961822. [field4]
3. Plate 73, Early 14/15th century (Colour as in the original, V and A 1005:73 to 84-1884) of Anthony Ray. Spanish pottery, 1248-1898, London : V&A Publications, 2000. ISBN 185177291. [ray] {418 pages, colour and black and white}

• V&A record Tile panel

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

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