Bourgoin, Plate 142
data12/P142
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is 2*22 (cmm).
- All the internal angles of the constituent polygons are a multiple of 15°.
- Contains 6 regular hexagons.
- Contains two regular four-pointed star polygons with vertex angle of 120°.
- Contains one regular 6-pointed star polygon with vertex angle of 60°.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- There are five non-regular reflective tiles (including one kite) and one reflective pair.
- The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 457 polygons.
References
Publications referenced:
- Page 177 of Keith Critchlow. Islamic Patterns - An Analytical and Cosmological Approach, Thames and Hudson, 1976. ISBN 050027071. [critchlow] {Gives about 6 patterns not found in Bourgoin.}
- Page 313 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.}
- Plate 142 (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.
Photographs
Collections of similar tilings
Photo?
v53