Two Polygons, PP Class 45, [p3lm,c3,d3], IH Class 18.

• 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.

1. 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.
2. figure 7.4.4, LPP25-5, page 372 of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}

Photo?

v54