Perhaps then it turns on a view of whether the nature of the universe is beautiful / compelling / inspirational. Sure, archimedes spirals are awesome. Pi is awesome. And, to me, golden spirals (about which, by the way, Fibonacci had no idea) are really really awesome.
The fact that other shapes, patterns, sequences, and algorithms exist (an utterly impotent and self-evident assertion) does nothing to diminish my appreciation for Fibonacci numbers or the golden ratio.
What's "really really" awesome about Fibonacci spirals? They're just log spirals whose growth factor is phi. I can generate an infinite number of log spirals with different ratios. What's so awesome about generating them with a ratio of (one plus root five) over two? Would one generated with a ratio of pi be even more awesome? what about e?
Sure, phi is the solution to x - 1 = 1 / x. That just means it's the solution to x^2 - x - 1 = 0. It's just the answer to a polynomial. It's not even the unique answer! both phi and 1/phi answer it.
What about x^3 - x^2 - x - 1 = 0? That seems to be related, and it has a unique real solution - 1.839. Maybe that number has magic properties when used as the ratio for a log spiral?
The fact that other shapes, patterns, sequences, and algorithms exist (an utterly impotent and self-evident assertion) does nothing to diminish my appreciation for Fibonacci numbers or the golden ratio.
And there's nothing "flim flam" about that.