Bourgoin, Plate 140
data8/PG140
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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 8-pointed star polygon with vertex angle of 90°.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- Contains one regular 24-pointed star polygon with vertex angle of 40°.
- There are 6 non-regular reflective tiles (including 3 kites) and four reflective pairs.
- The tiling satisfies the interlace condition and has no finite interlace and three infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 1849 polygons.
References
Publications referenced:
- Dick Osseman (Ulu Cami, Ermenek, Turkey. Mihrab) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1302AD, 701AH)
- Page 140 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 140 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
v49