What is this golden ratio thing, anyway?
It’s the number that is a solution for the equation (a + b)/a = (a/b).
In other words, given a rectangle where the ratio of the length of its sides is 1:φ,
when you remove the largest possible square from it,
you’ll get another rectangle whose sides have the ratio φ:1.
If you take the largest square from that, you’ll get a rectangle whose sides have the ratio 1:φ.
And so on. You can see an image of the basic idea in Figure 3, *The golden ratio*.

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