THE SNOWFLAKE CURVE AS AN ATTRACTOR OF AN ITERATED FUNCTION SYSTEM

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DEMİR B., ÖZDEMİR Y., SALTAN M.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol.28, no.1, pp.155-162, 2013 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 28 Issue: 1
• Publication Date: 2013
• Doi Number: 10.4134/ckms.2013.28.1.155
• Journal Name: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.155-162
• Keywords: snowflake curve, Koch curve, iterated function system
• Open Archive Collection: AVESIS Open Access Collection
• Anadolu University Affiliated: Yes

Abstract

Although the snowflake curve, the boundary of the Koch snowflake, is one of the well-known fractals, there is no iterated function system (IFS) for it in the literature. In this study, we give an IFS for this familiar closed curve.