Alcazar

Compare with Bourgoin, Plate 129 (corrected) and Real Alcazar, ceiling.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• Contains one regular 16-pointed star polygon with vertex angle of 45°.
• There are 6 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 351 polygons.

1. Hutt archive, photo 342 (Sidi Bu Medien, Tlemcen, Algeria. Detail of Door) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1339AD, 739AH)
2. Page 450, Fig. 389 (Ulugh Beg madrasah, Samarkand, Central Asia) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}(1417-20AD, 820-3AH)
3. Photo by David Wade: SPA 2206 (Alcazar, Seville, Spain) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}

• Wade photo SPA 2206

v54