Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617882 | Journal of Mathematical Analysis and Applications | 2011 | 8 Pages |
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.
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