Astonishing!
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 From:  Karsten (KMRQUS)
8265.13 In reply to 8265.12 
Hello Max,

I've tested the values and it works perfect:-)
Thank you very much and have a nice day

Karsten
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 From:  bemfarmer
8265.14 In reply to 8265.11 
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

EDITED: 21 Jan 2019 by BEMFARMER

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 From:  Karsten (KMRQUS)
8265.15 In reply to 8265.14 
Hello Brian,

the loxodrome node isn't really a loxodrome creator. It's more a stereographic projection node. It takes various curves and maps it to a sphere. In the example I used logarithmic spirals -> loxodrome.

Have a nice day
Karsten
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 From:  Frenchy Pilou (PILOU)
8265.16 
Out of subject :)
a very cool book! (exists in English and French also! ;)
http://www.bilder-der-mathematik.de/
---
Pilou
Is beautiful that please without concept!
My Gallery
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 From:  amur (STEFAN)
8265.17 In reply to 8265.16 
Hi Pilou,

does the book have also reference links for software, in which you can create those mathematical shapes, or source code included?

Regards
Stefan
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 From:  Frenchy Pilou (PILOU)
8265.18 In reply to 8265.17 
In my French version
Nothing about render programs but you have several links about the subject show!
Each function is detailed.
http://www.editions-belin.com/ewb_pages/f/fiche-article-surprenantes-images-des-mathematiques-16456.php
Press book's image under "Feuilletez un extrait" (on the top left page then Choose a page then Slider Zoom)

EDITED: 23 Jan 2017 by PILOU

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 From:  amur (STEFAN)
8265.19 
Thanks for the info Pilou, much appreciated!

Regards
Stefan
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