Are you ready to get your mind blown?
What about those instances in which the golden spiral does not become instantiated, and we have instead all kinds of seemingly random angles? As it turns out, this provides an even more impressive opportunity for Vi Hart to drop some knowledge and make a beautiful and powerful connection between math and science, and a point about how the apparent teleology of the natural world is simply an appearance caused by what might turn out to be mathematical inevitability...
And if you want to see an incredible animation of a meristem doing its mathematical magic, you know what to do.