Royal Palace Throne Room, Meknes

• 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 five regular 8-pointed star polygons with vertex angle of 90°.
• There are 10 non-regular reflective tiles (including one kite and one dart) and one reflective pair.
• The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 811 polygons.

1. Page 176 top-left (Royal Palace Throne Room, Meknes, Morocco. Omits central 24-point star) 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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