Tiling on figure 2.5.3 (b), three colours
data147/F253B2
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Geometry
- The symmetry group of the tiling is 442 (p4).
- All the internal angles of the constituent polygons are a multiple of 2°.
- Contains one square.
- Contains two regular four-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 37 polygons.
References
Publications referenced:
- Figure 3 (d) (Three colours) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.
- figure 2.5.3 (b), page 83 of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
Photo?
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