Alhambra, Patio de los Leones

This pattern occurs as a high stucco frieze below the ceilings in the north and south ends of the eastern gallery of the Patio de los Leones.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• There are three non-regular reflective tiles.
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 213 polygons.

1. From Tony Lee (Alhambra, Patio de los Leones, Spain. At North and South ends of the East gallery) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1370-6AD, 771-7AH)
2. Fig 9.8c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

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