Bourgoin, Plate 106
data168/P106
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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 15°.
- Contains one regular three-pointed star polygon with vertex angle of 90°.
- Contains one regular four-pointed star polygon with vertex angle of 120°.
- Contains one regular 6-pointed star polygon with vertex angle of 30°.
- Contains one regular 8-pointed star polygon with vertex angle of 75°.
- There are two non-regular reflective tiles (including one kite) and one reflective pair.
- The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 279 polygons.
References
Publications referenced:
- Vol1, Plate 102 (al-Salih Tala'i Mosque, Cairo, Egypt. Bronze-plated door) of K A C Creswell. The Muslim Architecture of Egypt, Oxford, 2 volumes, 1952/59. [creswell] {}(1160AD, 554AH)
- Photo by David Wade: EGY 1514 (al-Mu'ayyad, Cairo, Egypt) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1420AD, 823AH)
- Plate 106 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
v46