What&#x27;s &quot;really really&quot; awesome about Fibonacci spirals? They&#x27;re just log spirals whose growth factor is phi. I can generate an infinite number of log spirals with different ratios. What&#x27;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?<p>Sure, phi is the solution to x - 1 = 1 &#x2F; x. That just means it&#x27;s the solution to x^2 - x - 1 = 0. It&#x27;s just the answer to a polynomial. It&#x27;s not even the unique answer! both phi and 1&#x2F;phi answer it.<p>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?