Alhambra, Mexuar Patio corridor

From the Alhambra, incised stucco panel on the east wall of the main stretch of the corridor between the Mexuar Patio and Patio de los Arrayanes.

• The symmetry group of the tiling is 442 (p4).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There is one non-regular reflective tile and one tile with no mirror image.
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 125 polygons.

1. Andalucia photograph from John Rigby (Alhambra, Mexuar Patio corridor, Spain. No colour in the original) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]
2. Fig A.6 of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

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

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