The Alcazar, Seville

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains three regular 8-pointed star polygons with vertex angle of 90°.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• There are 11 non-regular reflective tiles (including one kite and one dart).
• The tiling satisfies the interlace condition and has three finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 907 polygons.

1. Page 63, middle right (Alcazar, Seville, Spain. One of alternating motifs) of Degeorge, G ́erard and Porter. The Art of the Islamic Tile, Paris, 2002. ISBN 208010876. [degeorge2] {}(1616AD, 1025AH)

v54