The Phi Number System
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One of the many fascinating properties of the golden ratio,
is that for every positive integer n, there is a unique set of nonconsecutive integer powers of
that add up to n. For example,
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Interested in knowing how your favorite positive integer is represented in the "phi number system?" Just type it in below and click on the "Evaluate" button.
The Mathematica code that this script in based on was developed by Sue Robinson in 1995 for a course at UMass Lowell.
For more information, visit Phi Number System at MathWorld
UML WebMathematica Script Index