Tiling on figure 2.5.4 (o) on page 85

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 30°.
• Contains one regular four-pointed star polygon with vertex angle of 60°.
• Contains one regular 12-gon.
• The tiling does not satisfy the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 28 polygons.

1. Figure 4 (f) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.
2. igure 2.5.4 (o) 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.}

• Regular polygons with more than eight sides

Photo?

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