Alhambra, Sala de las Dos Hermanas

Ceramic mosaic panels on east and west jambs of north arch from Sala de las Dos Hermanas leading to Sala de los Ajimeces. Colours in the graphic are approximate only. Authentic colours include white, black, honey-brown, blue, green and purple.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains four regular two-pointed star polygons with vertex angle of 45°.
• Contains two regular four-pointed star polygons with vertex angle of 45°.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• Contains two regular 8-pointed star polygons with vertex angle of 45°.
• There are 9 non-regular reflective tiles (including one kite and one dart).
• The tiling satisfies the interlace condition and has four finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 699 polygons.

1. Photo by David Wade: SPA 1803 (Alhambra, Sala de las Dos Hermanas, Spain) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1354-62AD, 755-63AH)
2. Fig 9.6c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
3. Photo from Nick Crossling (Alhambra, Sala de las Dos Hermanas, Spain. Colour from original, Spain) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

• Wade photo SPA 1803

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

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