Tiling on figure 2.5.3 (d), Uniform tiling with star polygons
data147/F253D
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is 3*3 (p31m).
- All the internal angles of the constituent polygons are a multiple of 2°.
- Contains two equilateral triangles.
- Contains one regular three-pointed star polygon with vertex angle of 22°.
- The tiling satisfies the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 59 polygons.
References
Publications referenced:
- Figure 3 (b) (Three colours) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.
- figure 2.5.3 (d), page 83 of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
Photo?
v46