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

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

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 …