Darb-i Imam, Isfahan
data189/IRA0911
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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 7 regular two-pointed star polygons with vertex angle of 72°.
- Contains 8 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 7 non-regular reflective tiles (including 2 kites).
- The tiling satisfies the interlace condition and has 6 finite interlaces and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 385 polygons.
References
Publications referenced:
- Photo IRA 0911 (Darb-i Imam, Isfahan, Iran) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1453AD, 857AH)
- Fig 12.6c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
Photographs
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