Ben Youssef Madrasah

• 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 three regular 8-pointed star polygons with vertex angle of 90°.
• There are 6 non-regular reflective tiles (including one kite) 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 491 polygons.

1. Page 77, bottom left (Ben Youssef Madrasah, Marrakesh, Morocco) of Degeorge, G ́erard and Porter. The Art of the Islamic Tile, Paris, 2002. ISBN 208010876. [degeorge2] {}(1565AD, 972AH)

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

v54