I find maths work a lot easier if I use the printed course books rather than the pdf versions, so for the past few weeks I’ve been eagerly awaiting the delivery of my MS221 materials. However, last night I finally snapped and printed out the first two sections of Chapter A1 from the pdf copy, and today I’ve been working my way through Section 1, which is about the golden ratio.

It’s been fantastic so far – a really fascinating topic, and a very compelling start to the course. The golden ratio is introduced through a rectangle problem:

**The Rectangle Problem**

Suppose that a rectangle has a square removed from one end, leaving a rectangle the same shape as the original rectangle. What is the ratio of the lengths of the sides of the original rectangle?