Derived from 3.3.3.4.4, with digons added, angle (180/7) degrees
data145/D34A
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is 2*22 (cmm).
- All the internal angles of the constituent polygons are a multiple of 4.28 (π/42)°.
- Contains four regular two-pointed star polygons with vertex angle of 25.71 (π/7)°.
- Contains one regular three-pointed star polygon with vertex angle of 34.28 (4π/21)°.
- Contains one regular four-pointed star polygon with vertex angle of 64.28 (5π/14)°.
- The tiling satisfies the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 119 polygons.
References
Publications referenced:
- Derived from figure on page 188 of B GrÃ¼nbaum 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?
v53