Bourgoin, Plate 168

• The symmetry group of the tiling is 2*22 (cmm).
• All the internal angles of the constituent polygons are a multiple of 3.21 (π/56)°.
• Contains one regular two-pointed star polygon with vertex angle of 77.14 (3π/7)°.
• Contains one regular 7-pointed star polygon with vertex angle of 77.14 (3π/7)°.
• Contains one regular 14-pointed star polygon with vertex angle of 70.71 (11π/28)°.
• There are 15 non-regular reflective tiles (including 5 kites) and two reflective pairs.
• The tiling satisfies the interlace condition and has 6 finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 669 polygons.

1. Photo by Ayman Soliman (al-Suhaymi House, Cairo, Egypt) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1648-1796AD, 1058-1211AH)
2. Plate 168 (Source found in v38, but similar to other Mamluk patterns) of J Bourgoin. Arabic Geometrical Pattern and Design, Dover, 1879. ISBN 048622924. [bourgoin] {Classical book of around 200 hand-produced patterns, in back and white.} Fuller version available on Internet.

• Wade photo BOU 168

• Tilings not constructible by straightedge and compass

v54