Window grilles from the Abu al-'Ila mosque

• 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 square.
• Contains one regular 16-pointed star polygon with vertex angle of 52.5°.
• There are 7 non-regular reflective tiles (including 2 kites).
• The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 285 polygons.

1. Thesaurus Islamicus ID=7630 M340P0010 (Abu al-'Ila mosque, Cairo, Egypt. Window grilles) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

• Stars with 16 points with vertex angle not equal to 45°

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