Royal Palace Throne Room, Fes

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular two-pointed star polygon with vertex angle of 45°.
• Contains 7 regular 8-pointed star polygons with vertex angle of 90°.
• There are 9 non-regular reflective tiles (including one kite and one dart) and one reflective pair.
• The tiling satisfies the interlace condition and has five finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 1019 polygons.

1. Fig 9.5a, Fig 11.14 path of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Page 122 -2 (Fez, Morocco, Royal Palace Throne Room, original colouring) of Jean-Marc Castéra. Arabesques: Decorative Art in Morocco, ACR Edition, Paris, 1999. ISBN 286770124. [castera] {Beautiful book.}
3. Photo by David Wade: MOR 0422 (Fez, Morocco) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}

• Wade photo MOR 0422

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

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