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More Variations on the Sierpiński Sieve

  Published:2010-03-18
 Printed: Jun 2010
  • Kevin G. Hare,
    Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1
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Abstract

This paper answers a question of Broomhead, Montaldi and Sidorov about the existence of gaskets of a particular type related to the Sierpiński sieve. These gaskets are given by iterated function systems that do not satisfy the open set condition. We use the methods of Ngai and Wang to compute the dimension of these gaskets.
MSC Classifications: 28A80, 28A78, 11R06 show english descriptions Fractals [See also 37Fxx]
Hausdorff and packing measures
PV-numbers and generalizations; other special algebraic numbers; Mahler measure
28A80 - Fractals [See also 37Fxx]
28A78 - Hausdorff and packing measures
11R06 - PV-numbers and generalizations; other special algebraic numbers; Mahler measure
 

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