Friday mosque, Isfahan
data199/SHAF9
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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 five regular five-pointed star polygons with vertex angle of 36°.
- Contains two regular 10-pointed star polygons with vertex angle of 72°.
- There are five non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has no finite interlace and four infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 574 polygons.
References
Publications referenced:
- Fig 12.9c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Page 69 (Friday mosque, Isfahan, Iran. Entrance door of Shabestan) of Javad Shafai. On decoration in Persian architecture and wood carving, Tehran, 1977. [shafai] {In Persian}
Collections of similar tilings
Patterns using same irregular tiles: 3
Photo?
v54