J C Murphy, Plate LIV
data9/M054
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The Alhambra, Sala de las Dos Hermanas appears to have no such pattern. This pattern seems to be an inaccurately draw version of Alhambra, Sala de los Reyes.
Geometry
- 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 one regular 8-pointed star polygon with vertex angle of 90°.
- Contains one regular 8-pointed star polygon with vertex angle of 45°.
- There are three non-regular reflective tiles (including one kite).
- 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 235 polygons.
References
Publications referenced:
- Plate LIV (Mosaic in Dado of recess in the Hall of the two Sisters) of J C Murphy. The Arabian antiquities of Spain, V & A Pressmark GC 505.F.139, 1813. [murphy] {Spent 7 years are Alhambra, but drawings are inaccuracte!}
- Similar to Plate 42 of J Bourgoin. Arabic Geometrical Pattern and Design, Dover, 1879. ISBN 048622924. [bourgoin] {Classical book of around 200 hand-produced patterns, in back and white.} Fuller version available on Internet.
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