Kasehgaran Madrasah, Isfahan
data187/IRAN4
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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 8 regular two-pointed star polygons with vertex angle of 72°.
- Contains two regular pentagons.
- Contains four regular five-pointed star polygons with vertex angle of 72°.
- Contains two regular 10-pointed star polygons with vertex angle of 108°.
- There are four non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has two finite interlaces and three infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 581 polygons.
References
Publications referenced:
- Vol3, page 166, left motif (Kasehgaran Madrasah, Isfahan, Iran) of Mahmood Maher al-Naqsh. Design and execution of drawing in Iranian tilework, Islamic period, Reza Abbasi Museum, 1983. [iran] {Good collection of Iranian patterns, text in Persian} Available on Internet.(1105AD, 498AH)
- Fig 12.7b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
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