Golden Mean Number System/Examples/100.1
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Example of Number Expressed in Golden Mean Number System
The number expressed in the golden mean number system as $100 \cdotp 1$ is:
\(\ds \left[{100 \cdotp 1}\right]_\phi\) | \(=\) | \(\ds \phi^2 + \phi^{-1}\) | ||||||||||||
\(\ds \) | \(\approx\) | \(\ds 3 \cdotp 236\) |
Sources
- 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.) ... (previous) ... (next): $\S 1.2.8$: Fibonacci Numbers: Exercise $35$