Alcazar Real, Dormitorio de Reyes Moros

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains one regular octagon.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• There are 7 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has three finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 557 polygons.

1. 308:100-1866 (Toledo, Spain. Tin-glazed earthenware) of V&A collections website. Website: collections.vam.ac.uk, UK, 2015. [vami] {Website}(15th century AD)
2. Photo from Nick Crossling (Alcazar, Seville, Spain. Dormitorio de Reyes Moros, Wood inlay, also in Vestibule) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

• V&A record Tile

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

v54