Tiling on figure 2.5.5 (c), Uniform tiling with star polygons which are not edge-to-edge
data147/F255C
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Geometry
- The symmetry group of the tiling is *632 (p6m).
- All the internal angles of the constituent polygons are a multiple of 30°.
- Contains two equilateral triangles.
- Contains one square.
- Contains one regular 12-pointed star polygon with vertex angle of 30°.
- The tiling satisfies the two-colour condition.
- The tiling is not edge-to-edge.
- As drawn, contains about 93 polygons.
References
Publications referenced:
- Figure 2 (f) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.
- figure 2.5.5 (c), page 86 of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
Photo?
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