Mathematical Sciences: Faculty Presentations (1991-2022)

Topological Properties of a Class of Self-Affine Tiles in R3

Document Type

Presentation

Presentation Date

3-13-2015

Copyright

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Abstract or Description

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.

Sponsorship/Conference/Institution

Spring Central Sectional Meeting of the American Mathematical Society (AMS)

Location

East Lansing, MI

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