File:SunflowerModel.svg

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SunflowerModel.svg‎ (SVG file, nominally 500 × 500 pixels, file size: 28 KB)

[edit] 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 r = c \sqrt{n} and \theta = n \times 137.5^{\circ} (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(2007-09-12)
Source Own work
Author Doron

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following license:
GNU head 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.

w:en:Creative Commons
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This licensing tag was added to this file as part of the GFDL licensing update.

File history

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Date/TimeThumbnailDimensionsUserComment
current01:39, 31 January 2011Thumbnail for version as of 01:39, 31 January 2011500 × 500 (28 KB)Acdx (svg was broken in firefox)
21:59, 11 September 2007Thumbnail for version as of 21:59, 11 September 2007500 × 500 (28 KB)Doron ({{Information |Description= |Source=self-made |Date= |Author= Doron }} )
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This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Width 500
Height 500
Retrieved from "http://en.wikipedia.org/wiki/File:SunflowerModel.svg"
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