Hi OSTeo

The "sunflower spiral" has points on a particular Fermat (half) Spiral.
There are a couple of Fermat Spiral scripts.

H. Vogel did the sunflower equations.
Vogel's paper is being sold. I very rarely buy a for sale paper. But the math is also here:
http://ijear.org/vol4spl2/9-Amanjot-Kaur.pdf

The Sunflower Spiral and the Fibonacci Metric:
http://archive.bridgesmathart.org/2010/bridges2010-483.pdf

Sunflower Array Antenna:
http://downloads.hindawi.com/journals/ijap/2009/624035.pdf

I've been reviewing the math. It tends to get confusing comparing the different papers
The "golden angle" is involved, lowercase phi, capital phi, irrational numbers with sqrt of 5...

Are you trying to connect the different whorls of smaller spirals, such as the clockwise and anticlockwise subspirals, such as 5,8 or 8,13?
I've been trying to make sense of these subspirals, to see if there is some formula...

A script can feed points into a curve factory, or interpcurve factory, to make a spiral...

- Brian

http://www.degruyter.com/view/j/cris.2014.2014.issue-1/cris-2014-0001/cris-2014-0001.xml?format=INT