Tiling derived from 4.8**2, with di-gons added, angle 76.5 degrees
data145/D48C
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Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 4.5°.
- Contains one regular two-pointed star polygon with vertex angle of 58.5°.
- Contains one regular four-pointed star polygon with vertex angle of 31.5°.
- Contains one regular 8-pointed star polygon with vertex angle of 76.5°.
- Contains one regular 8-pointed star polygon with vertex angle of 121.5°.
- The tiling satisfies the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 87 polygons.
References
Publications referenced:
- 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.}
- 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.}
Photo?
v46