Topological Properties of a Class of Self-Affine Tiles in R3
We construct a class of connected self-aﬃne tiles in R3 and prove that it contains a subclass of tiles that are homeomorphic to the unit ball. Our construction is obtained by generalizing a two-dimensional one by Q. Deng and K.-S. Lau.
Spring Central Sectional Meeting of the American Mathematical Society (AMS)
East Lansing, MI
"Topological Properties of a Class of Self-Affine Tiles in R3."
Mathematical Sciences Faculty Presentations.