Bourgoin, Plate 33

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 30°.
• Contains one regular two-pointed star polygon with vertex angle of 60°.
• Contains one regular hexagon.
• Contains one regular 6-pointed star polygon with vertex angle of 60°.
• There is one non-regular reflective tile.
• The tiling satisfies the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 235 polygons.

1. Figure 271 (Madrasah Do-Dar, Mashhad, Iran. Drum of dome) of Arthur Upham Pope. Persian Architecture, Thames and Hudson, 1965. [pope] {Good source book, but weak on geometric tiling patterns}(15th century AD)
2. Page 148 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.}
3. Plate 33 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 033

Photo?

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