Bourgoin, Plate 122
data8/PG180
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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 5°.
- Contains one regular 9-pointed star polygon with vertex angle of 80°.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- There are 8 non-regular reflective tiles (including 2 kites) and one reflective pair.
- The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 623 polygons.
References
Publications referenced:
- Page 180 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.}
- Plate 122 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
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