Continued fractions

In this article we show that every whole number can be written as a continued fraction of the form k/(1+k/(1+k/...)).

This article sets some puzzles and describes how Euclid's algorithm and continued fractions are related.

In this article we are going to look at infinite continued fractions - continued fractions that do not terminate.

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.

A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers.

A personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead?

The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!