Royal Palace throne room, Marrakesh

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains two regular octagons.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• There are 7 non-regular reflective tiles (including one kite and one dart).
• 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 669 polygons.

1. Fig 9.8b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Page 126-3 (Royal Palace, Marrakesh, Morocco. Throne room) of Jean-Marc Castéra. Arabesques: Decorative Art in Morocco, ACR Edition, Paris, 1999. ISBN 286770124. [castera] {Beautiful book.}
3. Vol 2, page 76 (/1) (Royal Palace, Ifrane, Morocco) of Paccard, André. Traditional Islamic craft in Moroccan architecture, Saint-Jorioz, France, 1980. ISBN 286486003. [paccard] {2 v. : ill. (some col.) ; 31 cm.}

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

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