# Geometric and Continued Fraction Expansion of the Golden Ratio

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration illustrates the growth of the continued fraction expansion of , the golden ratio. Also shown are the convergents of its continued fraction and a series of squares in the golden rectangle.

Contributed by: Adam Kelchner (March 2011)

Based on work by: Yu-Sung Chang

Open content licensed under CC BY-NC-SA