Masjid-e-Sayyed, Isfahan

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains 6 squares.
• Contains 6 regular 8-pointed star polygons with vertex angle of 90°.
• There are four non-regular reflective tiles.
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 907 polygons.

1. Photo by David Wade: IRA 1617 (Masjid-e-Sayyed, Isfahan, Iran) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1840AD, 1256AH)
2. Fig 15.1a photo, Fig 15.1b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

• Wade photo IRA 1617

• Two-level patterns
• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

v54