Alhambra, Patio de los Arrayanes

The Alhambra, detail of one of the wooden doors at centre of south portico in the Patio de los Arrayanes. These doors have patterns on both sides; the reference photo shows the pattern with the doors closed, seen from the Patio.

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are five non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 283 polygons.

1. Photo by David Wade: SPA 2816 (Alhambra, Patio de los Arrayanes, Spain. (south portico)) from [wadei] (1354-62AD, 755-63AH)
2. Photo by David Wade: SPA 2835 (Alhambra, Patio de los Arrayanes, Spain. (north end)) from [wadei] (1354-62AD, 755-63AH)
3. Fig 9.3, photo and Fig 9.4c from [ww]
4. Photo by Nick Crossing (No colour in the original wooden door) from [pc]

• Wade photo SPA 0214
• Wade photo SPA 2835

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

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