Alhambra drawing, Salon de Comares
data215/AL3
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Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 22.5°.
- Contains 6 regular two-pointed star polygons with vertex angle of 45°.
- Contains two regular 8-pointed star polygons with vertex angle of 90°.
- Contains two regular 8-pointed star polygons with vertex angle of 45°.
- Contains one regular 16-pointed star polygon with vertex angle of 45°.
- There are 14 non-regular reflective tiles (including 2 kites) and one reflective pair.
- The tiling satisfies the interlace condition and has three finite interlaces and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 687 polygons.
References
Publications referenced:
- Fig 207, page 399 (Alhambra, Salon de Comares, Spain. Drawing) of Antonio Fernández-Puertas. The Alhambra: Volume I - from the ninth century to Yusuf I (1354), SAQI Books, 1999. ISBN 086356466. [fernandez] {Beautiful book.}
Photo?
v51