Ali Qapu pavilion, Isfahan
data199/SHAF17
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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 one regular two-pointed star polygon with vertex angle of 72°.
- Contains four regular pentagons.
- Contains one regular 10-pointed star polygon with vertex angle of 72°.
- Contains one regular 10-pointed star polygon with vertex angle of 108°.
- There are 6 non-regular reflective tiles (including one kite).
- 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 205 polygons.
References
Publications referenced:
- Page 343, Fig. 253b (Imam Reza shrine, Mashhad, Iran) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}(14th century AD)
- Page 96 (Ali Qapu pavilion, Isfahan, Iran. Ceiling) of Javad Shafai. On decoration in Persian architecture and wood carving, Tehran, 1977. [shafai] {In Persian}
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