Painted wooden ceiling, Cairo
data198/P179
(Click on image for high-quality PDF version)
Compare with Bourgoin, Plate 179.
Geometry
- The symmetry group of the tiling is 2*22 (cmm).
- All the internal angles of the constituent polygons are a multiple of 36°.
- Contains five regular two-pointed star polygons with vertex angle of 72°.
- Contains two regular pentagons.
- Contains one regular 10-pointed star polygon with vertex angle of 36°.
- There are five 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 393 polygons.
References
Publications referenced:
- Page 177, Fig 6.25 (Abd al-Rahman Katkhuda, Cairo, Egypt. Painted wooden ceiling, water dispensary) of Eric Broug. Islamic Geometric Design, Thames and Hudson, 2013. ISBN 978050051695. [broug2] {Many excellent photos}(1744AD, 1157AH)
- Fig 12.5b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
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