Two Polygons, PP Class 45, [p3lm,c3,d3], IH Class 18.
data149/L255
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Geometry
- The symmetry group of the tiling is 3*3 (p31m).
- All the internal angles of the constituent polygons are a multiple of 60°.
- Contains two equilateral triangles.
- There is one non-regular reflective tile.
- The tiling does not satisfy the two-colour condition.
- The tiling is not edge-to-edge.
- The tiling satisfies the two-polygon condition.
- As drawn, contains about 63 polygons.
References
Publications referenced:
- PP Class 45, [p3lm,c3,d3], IH Class 18 of S J Dawes and B A Wichmann. A New Class of Tilings with Two Prototiles, Visual Mathematics, Vol 3, No 4., 2001. [dawes] {Revises CD/booklet.} Available on Internet.
- figure 7.4.4, LPP25-5, page 372 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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