Tiling of Figure 2.5.4 (p) on page 85

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 20°.
• Contains one regular three-pointed star polygon with vertex angle of 40°.
• Contains one regular 18-gon.
• The tiling does not satisfy the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 41 polygons.

1. Figure 2.5.4 (p) on page 85 of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
2. Figure 4 (g) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.

• Regular polygons with more than eight sides
• Tilings not constructible by straightedge and compass

Photo?

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