Tiling on figure 2.5.3 (a)
data147/F253A2
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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 2°.
- Contains one regular hexagon.
- Contains two regular three-pointed star polygons with vertex angle of 22°.
- The tiling does not satisfy the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 60 polygons.
References
Publications referenced:
- Figure 2.5.3 (a) of B GrÃ¼nbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
- Figure 3 (e) (Three colours) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.
- Page 356 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.}
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