Royal Palace throne room, Rabat

• 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 octagon.
• Contains three 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 two finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 437 polygons.

1. Page 126 (1) (Royal Palace throne room, Rabat, Morocco. Redrawn to be more regular) of Jean-Marc Castéra. Arabesques: Decorative Art in Morocco, ACR Edition, Paris, 1999. ISBN 286770124. [castera] {Beautiful book.}

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

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