Bourgoin, Plate 112
data169/P112
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Geometry
- The symmetry group of the tiling is *2222 (pmm).
- All the internal angles of the constituent polygons are a multiple of 15°.
- Contains three regular hexagons.
- 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 7 non-regular reflective tiles (including 2 kites).
- The tiling satisfies the interlace condition and has no finite interlace and four infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 623 polygons.
References
Publications referenced:
- Thesaurus Islamicus (Imam al-Shafi'i, Cairo, Egypt. Lower back pattern on minbar door) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1211AD, 607AH)
- Page 346 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.}
- Plate 112 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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