Doodling in Math - Spirals, Fibonacci and Plants - 1

Time for some math. No, don't run away! I guarantee even the greatest of mathophobes among you are going to love this, not only because it's a new episode of the Doodling in Math Class series (narrated by the future mother of my children, although she doesn't know this yet), but because it's related to golden spirals and the Fibonacci sequence.

The mathematical properties of this sequence are easy enough to understand. The marvel comes from the fact that it is instantiated all over the place. You've seen a stunning animation of this phenomenon before, but why don't we put the idea to the test with some real-world examples:

As she said, there's nothing really mystical about the appearance of this number in these plants. If you consider this to be an engineering problem requiring the most efficient packaging solution, then it shouldn't be that surprising that the blind process of evolution should have eventually stumbled upon this pattern. For more, take a listen to this great discussion of the Fibonacci sequence and the golden ratio from In Our Time.

And if you're still hungry for more, learn more about fractals from none other than Arthur C. Clarke, or how simplicity can give rise to complexity in The Secret Life of Chaos, with Jim Al-Khalili.