Redouane Pavilion, Marrakesh

• 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 octagon.
• 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 one finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 841 polygons.

1. Fig 7.4a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Vol 2, page 119 (Redouane Pavilion, Marrakesh, Morocco) of Paccard, André. Traditional Islamic craft in Moroccan architecture, Saint-Jorioz, France, 1980. ISBN 286486003. [paccard] {2 v. : ill. (some col.) ; 31 cm.}

• Escher's Alhambra tiling pattern

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