Shah Mosque, Mashad
data197/IRAN6
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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 10 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 108°.
- There are three non-regular reflective tiles.
- The tiling satisfies the interlace condition and has four 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:
- Vol 1 page 130 (Shah Mosque, Mashad, 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.(1629AD, 1038AH)
- Fig 12.5a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
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