Khamsah of Nizami, Herat
data13/F49
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Geometry
- The symmetry group of the tiling is 632 (p6).
- All the internal angles of the constituent polygons are a multiple of 60°.
- Contains one regular hexagon.
- There are no non-regular reflective pairs and one tile with no mirror image.
- The tiling does not satisfy the two-colour condition.
- The tiling is not edge-to-edge.
- The tiling satisfies the two-polygon condition.
- As drawn, contains about 185 polygons.
References
Publications referenced:
- Figure 49, Plate 26 (Khamsah of Nizami, Herat, Afghanistan, Central Asia) 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.}
- PP Class 110, [p6,c6,c2], IH Class 34 of S J Dawes and B A Wichmann. A New Class of Tilings with Two Prototiles, Visual Mathematics, Vol 3, No 4., 2001. [dawes] {Revises CD/booklet.} Available on Internet.
- Plate 33a of Eva Wilson. Islamic Designs, British Museum, 1988. ISBN 071418066. [wilson] {26 geometric designs with the source given in many cases.}
Photo?
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