Article ID Journal Published Year Pages File Type
4617882 Journal of Mathematical Analysis and Applications 2011 8 Pages PDF
Abstract

We consider a class of planar self-affine tiles T that are generated by the lower triangular expanding matrices and the product-form digit sets. We give necessary and sufficient conditions for T to be connected and disk-like. Also for the disconnect case, we give a condition that enumerates the number of connected components of T.

Related Topics
Physical Sciences and Engineering Mathematics Analysis