Hi Karsten,
You have an interesting project.
Based upon my limited understanding:
From the Smith site, of 650 plant species, R. Jean found that "about 92% of them have Fibonacci phyllotaxis." (F0 = 1 and F1 = 1).
Some plants follow one particular Lukas sequence with F0 = 1 and F1 = 4. (There are other types of Lucas sequences.)
There is a formula for the n'th Fibonacci number. (Haven't seen a formula for the n'th term of the above type of Lukas sequence.)
As time allows, I'm still studying for a phyllotaxis script. The Java applets seem very broad and very repetitive and inscrutably "simple," so I'll just
start doing some code based upon the given formulas, and Growth rate and divergence angles. Plus more reading and study:-)
So you might try a Lukas sequence. Or numbers which are different, the Lucas numbers?
So a loxodrome is not a Seifert spiral.
- Brian
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