✦ LIBER ✦

Understanding Fibonacci Numbers

✍ Scribed by Beryl Adamson

Book ID: 121726290
Year: 1978
Weight: 480 KB
Volume: 7
Category: Article
ISSN: 0305-7259
DOI: 10.2307/30213425

No coin nor oath required. For personal study only.

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Let 4> be the golden ratio (xf5 + 1)/2, f, the nth Fibonacci finite word and f the Fibonacci infinite word. Let r be a rational number greater than (2 + q~)/2 and u a non-empty word. If u" is a factor of f, then there exists n ~> 1 such that u is a conjugate of f. and, moreover, each occurrence of u