Tiling on figure 2.5.4 (e), Uniform tiling with corners which are not vertices
data147/F254E
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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 15°.
- Contains two equilateral triangles.
- Contains one square.
- Contains one regular octagon.
- Contains one regular 8-pointed star polygon with vertex angle of 15°.
- The tiling does not satisfy the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 102 polygons.
References
Publications referenced:
- Figure 4 (d) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.
- figure 2.5.4 (e), page 85 of B GrÃ¼nbaum 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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