Bourgoin, Plate 44
data10/P044
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Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 45°.
- Contains one regular octagon.
- Contains one regular 8-pointed star polygon with vertex angle of 45°.
- There are two 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 175 polygons.
References
Publications referenced:
- Page 236 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 62 (Hunat Hatun Complex, Kayseri, Turkey) of Eric Broug. Islamic Geometric Patterns, Thames & Hudson, 2008. ISBN 978050028721. [broug] {Elegant drawings}
- Plate 44 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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