Photo from wikipedia
Abstract We construct a family of self-affine tiles in $\mathbb{R}^{d}$ ( $d\geqslant 2$ ) with noncollinear digit sets, which naturally generalizes a class studied originally by Q.-R. Deng and K.-S.… Click to show full abstract
Abstract We construct a family of self-affine tiles in $\mathbb{R}^{d}$ ( $d\geqslant 2$ ) with noncollinear digit sets, which naturally generalizes a class studied originally by Q.-R. Deng and K.-S. Lau in $\mathbb{R}^{2}$ , and its extension to $\mathbb{R}^{3}$ by the authors. We obtain necessary and sufficient conditions for the tiles to be connected and for their interiors to be contractible.
Keywords:
class higher;
affine tiles;
properties class;
self affine;
topological properties
Journal Title: Canadian Mathematical Bulletin
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Canadian Mathematical Bulletin
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!