Bourgoin, Plate 31
data10/P031
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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 7.5°.
- Contains one regular hexagon.
- Contains one regular octagon.
- Contains one regular 6-pointed star polygon with vertex angle of 60°.
- There are three non-regular reflective tiles.
- The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 397 polygons.
References
Publications referenced:
- Page 251, Fig. 118d (Karatay madrasah, Antalya, Turkey. Mihrab) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}(1250AD, 647AH)
- Page 163 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 31 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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