Bourgoin, Plate 56

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains two squares.
• Contains one regular octagon.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are 6 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has three finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 259 polygons.

1. Page 253 of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1995. ISBN 981021704. [abas] {Very many patterns in black and white, no sources given.}
2. Page 521, Figure 53 (Drawing from Bourgoin) of A. F. Calvert. Moorish remains in Spain, London, New York, J. Lane, Pressmark 18.F.85, 1906. [calvert] {586 pages} Available on Internet.
3. Plate 56 (No known source) 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 056

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