Seville tile, V and 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 two-pointed star polygons with vertex angle of 45°.
• Contains three regular 8-pointed star polygons with vertex angle of 90°.
• There are 6 non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 465 polygons.

1. Photo by David Wade: MOR 0322 (Attarine Madrasah, Fez, Morocco) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1325AD, 725AH)
2. 184:1853 (Seville, Spain. Colour as in the original, Cuenca) of V&A collections website. Website: collections.vam.ac.uk, UK, 2015. [vami] {Website}(16th century AD)
3. Page 229 of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1995. ISBN 981021704. [abas] {Very many patterns in black and white, no sources given.}

• Wade photo MOR 0322
• V&A record Tile

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

v54