Problem #DES-141224

Problem

This week we’re looking at Fibonacci numbers, and other sequences of numbers.

We say that the ‘zeroth’ Fibonacci number is \(0\) and the first Fibonacci number is \(1\). Then, from that point, every Fibonacci number is found by adding the two previous Fibonacci numbers. This means that the sequence begins \(0,1,1,2,3,5,8,13,21,34,55,89,144,...\)

The Fibonacci numbers hide lots of patterns which we’ll explore today. The spiral below is formed by taking squares whose side lengths are Fibonacci numbers, and drawing quarter circles in each square.