Hausdorff dimension of the limit sets of some planar geometric constructions

  title={Hausdorff dimension of the limit sets of some planar geometric constructions},
  author={Krzysztof Baranski},
  journal={Advances in Mathematics},
Abstract We determine the Hausdorff and box dimension of the limit sets for some class of planar non-Moran-like geometric constructions generalizing the Bedford–McMullen general Sierpinski carpets. The class includes affine constructions generated by an arbitrary partition of the unit square by a finite number of horizontal and vertical lines, as well as some non-affine examples, e.g. the flexed Sierpinski gasket. 
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