National Library of Cairo
data183/CD2
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 15°.
- Contains one regular 8-pointed star polygon with vertex angle of 90°.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- There are 7 non-regular reflective tiles (including 2 kites) and one reflective pair.
- 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 557 polygons.
References
Publications referenced:
- Fig 1.1, photo of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Plate 34 of Owen Jones. The Grammar of Ornament, Dover, 1856. ISBN 048625463. [jones] {Excellent book with 100 colour plates, with many containing several tiling patterns.} Fuller version available on Internet.
- photo from David Wade (Koran from National Library of Cairo, Egypt) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]
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