Bourgoin, Plate 106
T01316, 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 and one reflective pair.
- The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces.
- The tiling is edge-to-edge.
- As drawn, contains about 235 polygons.
References
Publications referenced:
- 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.}
- Vol1, Plate 102 (Cairo: bronze-plated door, mosque of As-Salih Tala'i' (1160)) of K A C Creswell. The Muslim Architecture of Egypt, Oxford, 2 volumes, 1952/59. [creswell] {}
Photographs
Collections of similar tilings
v22