Bourgoin, Plate 80
data162/P080
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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 one square.
- Contains one regular hexagon.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- There are 6 non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has one finite interlace and no infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 469 polygons.
References
Publications referenced:
- Page 189 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.}
- Page 48, Fig 2.20 (Great Mosque, Damascus, Syria) of Eric Broug. Islamic Geometric Design, Thames and Hudson, 2013. ISBN 978050051695. [broug2] {Many excellent photos}
- Plate 80 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
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