Alhambra drawing, Salon de Comares

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains two regular two-pointed star polygons with vertex angle of 45°.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• Contains two regular 8-pointed star polygons with vertex angle of 45°.
• Contains one regular 16-pointed star polygon with vertex angle of 45°.
• There are 13 non-regular reflective tiles (including 2 kites and one dart).
• The tiling satisfies the interlace condition and has five finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 585 polygons.

1. Fig 204, page 397 (Alhambra, Salon de Comares, Spain. Drawing) of Antonio Fernández-Puertas. The Alhambra: Volume I - from the ninth century to Yusuf I (1354), SAQI Books, 1999. ISBN 086356466. [fernandez] {Beautiful book.}

Photo?

v54