Uniform Star Polygons with Diamonds

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 15°.
• Contains one regular two-pointed star polygon with vertex angle of 45°.
• Contains one regular three-pointed star polygon with vertex angle of 45°.
• Contains one regular 12-pointed star polygon with vertex angle of 15°.
• The tiling satisfies the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 93 polygons.

1. Related to figure 2.5.5(d) of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
2. Uniform Star Polygons with Digons of B A Wichmann. The World of Patterns, World Scientific, 2001. ISBN 981024619. [wich2] {Only new patterns ascribed to this.}

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