Darb-i Imam, Isfahan

• 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.

1. Photo IRA 0911 (Darb-i Imam, Isfahan, Iran) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1453AD, 857AH)
2. Fig 12.6c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

• Wade photo IRA 0911

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