Qijmas al-Ishaqi mosque, Cairo

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 2.81 (π/64)°.
• Contains 8 regular two-pointed star polygons with vertex angle of 73.12 (13π/32)°.
• Contains one regular four-pointed star polygon with vertex angle of 56.25°.
• Contains one regular 8-pointed star polygon with vertex angle of 73.12 (13π/32)°.
• Contains one regular 16-pointed star polygon with vertex angle of 73.12 (13π/32)°.
• There are 18 non-regular reflective tiles (including 6 kites).
• The tiling satisfies the interlace condition and has 8 finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 713 polygons.

1. Thesaurus Islamicus, ID=1361 M114P0152 (Amir Qijmas al-Ishaqi, Cairo, Egypt. West iwan, north wall, middle level, decorative panel between window arches) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

• Stars with 16 points with vertex angle not equal to 45°
• Tiling with three or more proper stars

Photo?

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