Math Colloquium by UWO Student Fatima Muniz

Thursday, November 14, 2024, 4 – 5 p.m., Swart 127

A plane tiling is a countable family of closed sets that covers the plane without overlaps. A tiling is called unilateral if no two tiles of the same size share a common side, and equitransitive if all congruent tiles can be mapped to each other by a symmetry of the tiling. A unilateral equitransitive tiling by squares is denoted U ETn, where n denotes the number of square tile types used. In this talk we consider the open problem of finding all integral U ETn for n > 4. We describe an algorithm that generates signatures for these tililngs and pieces them together without repeats or violations of unilaterality or equitransitivity