[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2014.36.1.103

THE REPRESENTATION OF THE GOLDEN RATIO BY THE CONTINUED FRACTION

Kim, Seung Soo (Department of Mathematics (Institute of Pure and Applied Mathematics), Chonbuk National University)
Ko, Mi Yeon (Department of Mathematics Educations, Graduate School, Chonbuk National University)
Lee, Yong Hun (Department of Mathematics (Institute of Pure and Applied Mathematics), Chonbuk National University)

Publication Information

Honam Mathematical Journal / v.36, no.1, 2014 , pp. 103-112 More about this Journal

Abstract

There are several theories to say that 'Mathematics is beautiful', but the typical one of them is a theory about the golden ratio. Often the golden ratio apt to be considered only as the geometric shapes or the simple number of ratio used in buildings and arts. However in this paper, we studied to consider the mathematical theories which are contained in their inside. In particular, we investigate the various expressions of the continued fraction which are represented by the golden ratio.

Keywords

golden ratio; continued fraction; iterated fixed point theorem;

Citations & Related Records

Reference

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