Alaaddin Mosque, Konya

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 2°.
• Contains one regular 6-pointed star polygon with vertex angle of 72°.
• Contains one regular 9-pointed star polygon with vertex angle of 40°.
• There are four non-regular reflective tiles.
• The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 270 polygons.

1. Photo from Tony Lee (Alaaddin Mosque, Konya, Turkey) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1116-1237AD, 509-634AH)
2. Fig 7.3b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

• Tilings not constructible by straightedge and compass

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