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

Published online by Cambridge University Press:  18 July 2002

Zainab Kazim
Zainab Kazim
Affiliation:
33 Wetherby Road, Luton LU4 8GS, Bedfordshire, England e-mail: zainabkazim@hotmail.com
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 1 , January 2002 , pp. 117 - 123
Copyright
2002 Glasgow Mathematical Journal Trust