Real Alcazar, ceiling

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

• 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 90°.
• Contains one regular 16-pointed star polygon with vertex angle of 45°.
• There are 7 non-regular reflective tiles (including 2 kites).
• The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 383 polygons.

1. Fig 10.1a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Internet photo, Flickr (Alcazar, Seville, Spain. Ceiling) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]
3. Photo by David Wade: MOR 2639x (Sakkala, Tetouan, Morocco) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}

• Wade photo MOR 2639x

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