Thank you for the kind comments Lycium.
I looked at the Fibonacci Sequence reference, and can see the relationship. I guessed the basis for the positioning might be the Golden Proportion which is a ratio of 1 : 1.618 (or .618 : 1) which is quite close.
See:
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.htmlOut of curiosity I opened the rendered image in PS, enlarged it 5x so I could measure accurately, and cropped from the bottom of the image to the top of the brown spiral arm. I double checked to be as sure as I could be that I got it to the pixel.
The original is 768 pixels in height, the height of the image cropped to the top of the spiral arm is 474 pixels. This is within about half a pixel of the Golden Proportion of approx. 474.64... (i.e. 768 x .61803)... or about 1/8 of 1%.

I had no conscious thought about the Golden Proportion when I was working on it, and doubt I could hit it again if I tried a couple dozen times !!! (My eyesight isn't that good!)
When I posted this observation on the class BBS Janet Parke kindly posted for me the UPR with a GP grid layer. When I saw the image with it there was another surprise. The center of the spiral is on a vertical GP line!

So then I checked my Mandelbrot prototype image from the class. It's also a spiral but with a single long gently curving arm sweeping upward before it closes near the top of the picture frame. The bottom of the closing spiral rests on the upper horizontal GP line and the center is also on a vertical one. I guess I like that arrangement.
Although I'm very familiar with the Golden Proportion as a basis for composition, I don't think I've never used it or any other geometric means for composition. I'm very much in the 'it looks good about here' school.
Hope you found this a bit amusing I like did ;o)
BTW Lycium, I've spent some time savouring your images on DA and am deeply impressed not only by your artistry but by your ability create software tools that express your artistry so incredibly well.
There are many stunning images in your gallery. Oneiric is probably my favorite, but I also really admire Piezo, Spring, and Elements in the H&M section, and Cities of Tomorrow, and Lexi Zero & Lexi Two among others. There's great variety in your work and exemplary results in all styles.
Very inspiring artwork!
cheers,
db