2020•arXiv (Cornell University)Open access
How to add two natural numbers in base phi
F. M. Dekking
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Abstract
In the base phi representation any natural number is written uniquely as a sum of powers of the golden mean with coefficients 0 and 1, where it is required that the product of two consecutive digits is always 0. In this self-contained paper we give a new, and short proof of the recursive structure of the base phi representations of the natural numbers.
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