Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2013; 28(1): 155-162

Printed January 31, 2013

https://doi.org/10.4134/CKMS.2013.28.1.155

Copyright © The Korean Mathematical Society.

The snowflake curve as an attractor of an iterated function system

B\"unyamin Dem\.ir, Yunus \"Ozdem\.ir, and Mustafa Saltan

Anadolu University, Anadolu University, Anadolu University

Abstract

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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.

Keywords: snowflake curve, Koch curve, iterated function system

MSC numbers: 28A80, 37C25

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