article
Tangles
A personal investigation of Conway's Rational Tangles. What were
the interesting questions that needed to be asked, and where did
they lead?
Continued fractions
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articleGolden mathematics
A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers. -
articleThe golden ratio, Fibonacci numbers and continued fractions
An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.
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articleInfinite continued fractions
In this article we are going to look at infinite continued fractions - continued fractions that do not terminate. -
articleApproximations, Euclid's algorithm and continued fractions
This article sets some puzzles and describes how Euclid's algorithm and continued fractions are related.
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articleContinued fractions II
In this article we show that every whole number can be written as a continued fraction of the form k/(1+k/(1+k/...)).
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articleContinued fractions I
An article introducing continued fractions with some simple puzzles for the reader.