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There is a lot of Fibonacci Flim-Flam. The author is too quick to dismiss the golden ratio's ubiquitous presence in the natural world. He seems to confusing spirals in plants, seed, pinecones, etc., with the non-continuous curvature "Fibonacci spiral". Here's a paper I wrote that was published in 2002 in Mathematics magazine that explains why plants use the golden ratio in seed placement and why this leads to Fibonacci numbers in plants. At the time I wrote this, there was no good explanation available for this process. So I investigated and found a beautiful explanation. That explanation is now "common knowledge", and I like to think I planted that seed. Whether I did or not I won't really ever know, but I think you'll like the paper.