Alhambra, Sala de las Dos Hermanas

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains three regular 8-pointed star polygons with vertex angle of 90°.
• There are 7 non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 425 polygons.

1. Ilustration 36 (Spain) of Edith Müller. Gruppentheoretische ... der Maurischen Ornamente aus der Alhambra ..., Rüschlikon, 1944. [muller] {Zürich}

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

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