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More Variations on the Sierpiński Sieve

Published online by Cambridge University Press:  20 November 2018

Kevin G. Hare
Kevin G. Hare*
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, e-mail: kghare@math.uwaterloo.ca
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Abstract

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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.

Keywords

28A8028A7811R06
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 3 , 01 June 2010 , pp. 543 - 562
Copyright
Copyright © Canadian Mathematical Society 2010

References

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