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Featured Research

William Floyd - A finite subdivision rule essentially consists of a finite number of polygons, called tile types, together with rules for subdividing each tile type into polygons labelled by tile types. Since the subdivision of each tile type is into tiles that can be identified with tile types, one can recursively subdivide any complex made up out of tile types. My coworkers and I have studied them for years as part of our research program in low-dimensional topology and geometry.

Click here for more information and to see more graphic images of finite subdivision rules.