Article ID Journal Published Year Pages File Type
4651172 Discrete Mathematics 2006 23 Pages PDF
Abstract

Let φφ be the golden ratio. We define and study a continued φφ-fraction algorithm, inspired by Euclid's algorithm. We show that any non-negative element of Q(φ)Q(φ) has a finite continued φφ-fraction.

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Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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