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growth angle |
William Labbett
Member #4,486
March 2004
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Hi, I've been looking into Fibonacci numbers in relation to pinecones. Here's a photo I took and edited in Paint Shop Pro : {"name":"609362","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/4\/0\/404eb7aae0cb284894efcd7ecf8d7e1c.png","w":510,"h":440,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/4\/0\/404eb7aae0cb284894efcd7ecf8d7e1c"} Reading about these pinecones and the way in which there are 8 spirals of one kind and 13 of another (8 & 13 are Fibonacci numbers BTW) being to do with the growth angle. I'd like to know what mathematicians mean when they say growth angle. I think it's to do with the initial angle at which the individual bits of the pinecone grow outwards at the point where they come out from the centre. Can anyone offer any links or answer this?
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SiegeLord
Member #7,827
October 2006
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Maybe they are referring to the angle the spiral makes with a line passing through the spiral origin (see the discussion here https://en.wikipedia.org/wiki/Logarithmic_spiral). "For in much wisdom is much grief: and he that increases knowledge increases sorrow."-Ecclesiastes 1:18 |
William Labbett
Member #4,486
March 2004
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Thanks Siege. Thanks a lot, that's something to go on.
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