Year: 2025
Type: article
Abstract: The conversion between miles and kilometres can be surprisingly approached using the Fibonacci sequence and the golden ratio. This paper explores a method that leverages Zeckendorf's representation – the expression of any positive integer as a sum of distinct, non-consecutive Fibonacci numbers – to convert any given number of miles to kilometres, or vice versa. We delve into the precision of this "Fibonacci shortcut", deriving explicit lower and upper bounds for the signed relative errors for both conversion directions.
Source: European Journal of Physics
Authors: Evelyn Musilová, Antonin Slavik
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W4414229844
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