- Farey Series Applet
- Useful for building solid intuition on the nature of
rational numbers and their distribution on the number line
- Today we will use it to investigate rational approximations to
f
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Observations:
- The golden ratio f is slowly approximated by rationals.
- If you fix a cap on the size of denominator allowed, the
closest rational to f is always
a Fibonacci ratio and they alternate sides of f
as the denominator increases.
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