Bourgoin, Plate 141
T00316, data12/P141
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Geometry
- The symmetry group of the tiling is *632 (p6m).
- All the internal angles of the constituent polygons are a multiple of 15°.
- Contains two regular hexagons.
- Contains one regular four-pointed star polygon 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 three non-regular reflective tiles and two tiles with no mirror image.
- The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace.
- The tiling is edge-to-edge.
- As drawn, contains about 346 polygons.
References
Publications referenced:
- Plate 141 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.
- Page 206 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.}
- Page 130 (Shows structure which is not as drawn in [wich]) 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.}
Photographs
Collections of similar tilings
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