Tiling 4.6.12
data136/F4612
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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 30°.
- Contains one square.
- Contains one regular hexagon.
- Contains one regular 12-gon.
- The tiling does not satisfy the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 48 polygons.
References
Publications referenced:
- Page 145 of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1995. ISBN 981021704. [abas] {Very many patterns in black and white, no sources given.}
- Plate 37, Figure 71 (Shibam-Kawkabin, Yemen) 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.}
- Tiling 4.6.12 (Known to the Greeks!) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.
Collections of similar tilings
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