Alhambra, Sala de los Reyes

Incised stucco on the upper surfaces of the walls in the north and south end chambers of the Sala de los Reyes. Only the bare lines of the pattern are drawn, and the patterns seem to have been laid out on an underlying grid of squares. Evidence of this is the fact that the khatems are drawn with alternating larger and smaller points, although in some cases attempts have been made to disguise this by freehand adjustments.

• The symmetry group of the tiling is 442 (p4).
• 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 three non-regular reflective tiles.
• The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 181 polygons.

1. Page 33 (Alhambra, Lion Courtyard (incorrect). No colouring) of Robert Field. Geometric Patterns from Islamic Art and Architecture, Tarquin Publications, 1998. ISBN 189961822. [field4]
2. Page 365 (Redrawn to display shapes better) of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1995. ISBN 981021704. [abas] {Very many patterns in black and white, no sources given.}
3. Photo by David Wade: SPA 0405x (Alhambra, Sala de los Reyes, Spain) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}

• Wade photo SPA 0405x

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

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