Tiling derived from 4.8**2, with di-gons added, with 16-gon

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains one regular two-pointed star polygon with vertex angle of 22.5°.
• Contains one regular four-pointed star polygon with vertex angle of 67.5°.
• Contains one regular 16-gon.
• Contains one regular 8-pointed star polygon with vertex angle of 112.5°.
• The tiling satisfies the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 65 polygons.

1. Derived from 4.8**2 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.}

• Regular polygons with more than eight sides

Photo?

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