Symmetry and enumeration of self-similar fractals.

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10 Citations (Scopus)

Abstract

A general method is presented for enumerating the distinct self-similar sets that arise as attractors of certain families of iterated function systems, using group theory to analyse the symmetries of the attractors. A range of examples are investigated in this way.

Original languageEnglish
Pages (from-to)272-282
Number of pages11
JournalBulletin of the London Mathematical Society
Volume39
Issue number2
DOIs
Publication statusPublished - Apr 2007

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