Symmetry and enumeration of self-similar fractals.

Kenneth John Falconer; John Joseph O'Connor

doi:10.1112/blms/bdl031

Symmetry and enumeration of self-similar fractals.

Kenneth John Falconer, John Joseph O'Connor

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	272-282
Number of pages	11
Journal	Bulletin of the London Mathematical Society
Volume	39
Issue number	2
DOIs	https://doi.org/10.1112/blms/bdl031
Publication status	Published - Apr 2007

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title = "Symmetry and enumeration of self-similar fractals.",

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.",

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Symmetry and enumeration of self-similar fractals.

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