Tiling on figure 2.5.3 (b), three colours

• 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 44 polygons.

1. 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.
2. 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.}

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