I watched this video on constructing the Fibonacci Spiral. Does it differ from the Golden Spiral?
The Fibonacci Spiral is constructed by using arcs of a circle on consecutive squares where the lengths of each correspond to the Fibonacci Sequence. I note that the sides of consecutive squares increase by the Golden Ratio.
I tried superimposing a Golden Spiral using $r = \varphi^{2\theta/\pi}$ over the following image (from prior link) and I could not get the curve to fit. Is there a particular part of the image that should be the polar graph origin?
These spirals can't match exactly since the Fibonacci spiral has circular arc segments and the radius of the golden spiral changes constantly. The former is an approximation to the latter.