Palais de la Bahia

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains four squares.
• Contains two regular two-pointed star polygons with vertex angle of 45°.
• Contains two regular four-pointed star polygons with vertex angle of 45°.
• Contains four regular 8-pointed star polygons with vertex angle of 90°.
• 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 16 non-regular reflective tiles (including 2 kites and one dart) and one reflective pair.
• The tiling satisfies the two-colour condition with straight cross-overs, but interlace counts not determined.
• The tiling is edge-to-edge.
• As drawn, contains about 2403 polygons.

1. Photo from Nick Crossling (Bahia Palace, Marrakesh, Morocco) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1875-1900AD, 1292-1318AH)
2. Fig 10.8 of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

• Tiling with three or more proper stars

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