Bourgoin, Plate 170

• The symmetry group of the tiling is 4*2 (p4g).
• 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 two regular octagons.
• Contains one regular 7-pointed star polygon with vertex angle of 77.14 (3π/7)°.
• There are three non-regular reflective tiles.
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace.
• The tiling is edge-to-edge.
• As drawn, contains about 163 polygons.

• Plate 170 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.
• Analysis here of E Hanbury Hankin. Some Difficult Saracenic Designs II, Mathematical Gazette, Vol 18, pp165-168, 1934. [hankin2] {Considers one pattern in detail.} Available on Internet.
• Page 379 of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1993. ISBN 981021704. [abas] {Very many patterns in black and white.}

• Wade photo BOU 170

• Tilings not constructible by straightedge and compass

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