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The Hausdorff and box dimension of fractals with disjoint projections in two dimensions

Zainab Kazim

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Source: Crossref

Published: Jan 1, 2002

DOI: 10.1017/s0017089502010078

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Source abstract

In this paper, we obtain an exact formula for the Hausdorff and box dimensions of a class of self-affine sets in two dimensions, namely those with disjoint projections. We prove, in particular, that fractals in this class have a Hausdorff and box dimension that is equal to the maximum Hausdorff and box dimension of one of their projections.

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