Uniform Star Polygons with Diamonds
data145/RM1
(Click on image for high-quality PDF version)
Geometry
- 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.
References
Publications referenced:
- 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.}
- 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?
v47