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Summary
Description |
Illustration of Vogel's formula of the pattern of sunflower florets (see article) for n=1 to 500, using the polar coordinates equations and (where 137.5° is 55/144 of a circular angle, and 55 and 144 are both Fibonacci numbers -- the exact angle should technically be 360/(((sqrt(5)+1)/2)+1), or 137.507764...). Can be produced using the following MATLAB code:
n=1:500;
r=sqrt(n);
t=137.5*pi/180*n;
plot(r.*cos(t),r.*sin(t),'o') |
Date |
12 September 2007 |
Source |
Own work |
Author |
Doron |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
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