Symmetry and enumeration of self-similar fractals
2007; Wiley; Volume: 39; Issue: 2 Linguagem: Inglês
10.1112/blms/bdl031
ISSN1469-2120
AutoresK. J. Falconer, John O’Connor,
Tópico(s)Cellular Automata and Applications
ResumoBulletin of the London Mathematical SocietyVolume 39, Issue 2 p. 272-282 Papers Symmetry and enumeration of self-similar fractals† Kenneth J. Falconer, Kenneth J. Falconer Mathematical Institute, University of St Andrews, North Haugh, St Andrews KY16 9SS, United Kingdom, joc@st-andrews.ac.uk, kjf@st-andrews.ac.ukSearch for more papers by this authorJohn J. O'Connor, John J. O'Connor Mathematical Institute, University of St Andrews, North Haugh, St Andrews KY16 9SS, United Kingdom, joc@st-andrews.ac.uk, kjf@st-andrews.ac.ukSearch for more papers by this author Kenneth J. Falconer, Kenneth J. Falconer Mathematical Institute, University of St Andrews, North Haugh, St Andrews KY16 9SS, United Kingdom, joc@st-andrews.ac.uk, kjf@st-andrews.ac.ukSearch for more papers by this authorJohn J. O'Connor, John J. O'Connor Mathematical Institute, University of St Andrews, North Haugh, St Andrews KY16 9SS, United Kingdom, joc@st-andrews.ac.uk, kjf@st-andrews.ac.ukSearch for more papers by this author First published: 27 February 2007 https://doi.org/10.1112/blms/bdl031Citations: 12 † 2000 Mathematics Subject Classification 28A80, 20B40. Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat 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. Citing Literature Volume39, Issue2April 2007Pages 272-282 RelatedInformation
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