(3.9^*_π/9.3.6^**_4π/9;3.3.9^*_π/9.3.6^*_4π/9.3.9^*_π/9)

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 20°.
• Contains three equilateral triangles.
• Contains one regular 6-pointed star polygon with vertex angle of 80°.
• Contains one regular 9-pointed star polygon with vertex angle of 20°.
• The tiling does not satisfy the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 349 polygons.

1. of B A Wichmann. The World of Patterns, World Scientific, 2001. ISBN 981024619. [wich2] {Only new patterns ascribed to this.}
2. Figure 18 of Joseph S. Myers. 2-uniform tilings ..., www.polyomino.org.uk, 2009. [myers2] Available on Internet.

• Two-uniform tilings with regular polygons and star polygons
• Tilings not constructible by straightedge and compass

Photo?

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