The boundaries of self-similar tiles in
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James Keesling
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Article
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1999
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Elsevier Science
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English
β 193 KB
Let K be a self-similar set in R n which has similarity dimension n and nonempty interior. In this paper it is shown that the topological boundary of K has Hausdorff dimension less than n. Examples are given to show that although the dimension of the boundary is strictly less than n, it may be arbit