Two Polygons, PP Class 64, [p4,c4,c2], IH Class 61.
data149/L3010
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is 442 (p4).
- All the internal angles of the constituent polygons are a multiple of 90°.
- Contains one square.
- There are no non-regular reflective pairs and one tile with no mirror image.
- 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 37 polygons.
References
Publications referenced:
- PP Class 64, [p4,c4,c2], IH Class 61 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, LPP30-10, page 373 of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
Photo?
v37