Alhambra, Patio de los Leones

This is a single motif made into a repeat pattern from the central ceiling panel in the south gallery of the Patio de los Leones, over the entrance arch to the Sala de los Abencerrajes. This is a common motif in western Islamic ornament.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular four-pointed star polygon with vertex angle of 45°.
• Contains two regular 8-pointed star polygons with vertex angle of 45°.
• There are three non-regular reflective tiles (including one dart).
• 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 159 polygons.

1. Photo by David Wade: SPA 0508x (Alhambra, Patio de los Leones, Spain) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1370-6AD, 771-7AH)

• Wade photo SPA 0508x

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

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