El-Said and Parman, Figure 55
data13/F55
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Geometry
- The symmetry group of the tiling is 3*3 (p31m).
- All the internal angles of the constituent polygons are a multiple of 60°.
- There is one non-regular reflective tile.
- The tiling does not satisfy the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 59 polygons.
References
Publications referenced:
- Fig 17 (a), page 11 (Mongolian design) of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
- Figure 55 (Location not known) of I El-Said and A Parman. Geometric concepts in Islamic Art, World of Islam Festival Publishing Co, 1976. ISBN 090503503. [elsaid] {Gives sources of several interesting patterns.}
- Similar to Plate 7 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.
Photo?
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