Quranic illumination

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 3.75°.
• Contains one regular octagon.
• Contains one regular 16-pointed star polygon with vertex angle of 52.5°.
• There are 10 non-regular reflective tiles (including 2 kites) and three reflective pairs.
• The tiling satisfies the interlace condition and has no finite interlace and three infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 743 polygons.

1. Page 415, Fig. 345c and d (Quranic illumination) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}
2. Photo 54 (National Library, Cairo, Egypt) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

• Stars with 16 points with vertex angle not equal to 45°
• Tilings from copies of a Koran

Photo?

v54