Merinid Madrasah, Sale

• 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 8-pointed star polygon with vertex angle of 90°.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• There are four non-regular reflective tiles.
• The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 197 polygons.

1. Page 129 top (Merinid Madrasah, Sale, Morocco. No colouring on original) 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).

v54