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

Presenters/Authors

Sze-Man Ngai, Georgia Southern UniversityFollow

Document Type

Presentation

Presentation Date

3-13-2015

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

Recommended Citation

Ngai, Sze-Man. 2015. "Topological Properties of a Class of Self-Affine Tiles in R₃." Department of Mathematical Sciences Faculty Presentations. Presentation 10.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/10