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## #1 2006-10-28 11:27:48

MathsIsFun
Registered: 2005-01-21
Posts: 7,664

### Nature, The Golden Ratio and Fibonacci Numbers

I finally tackled a subject that has fascinated me:

Nature, The Golden Ratio and Fibonacci Numbers

I would appreciate any feedback or corrections.

Also, did it get confusing or "unconnected" as you were reading it?

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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## #2 2006-10-28 11:39:39

All_Is_Number
Member
Registered: 2006-07-10
Posts: 258

### Re: Nature, The Golden Ratio and Fibonacci Numbers

I tried 0.61803 in the animation and got a straight line. I had previously worked well with .318

Edit to add: I went back and tried .318 again and it returned a straight line.

Last edited by All_Is_Number (2006-10-28 11:41:58)

You can shear a sheep many times but skin him only once.

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## #3 2006-10-28 12:05:32

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

### Re: Nature, The Golden Ratio and Fibonacci Numbers

Yea, there is a bug.  I tried a few numbers and got different patterns.  Then all of the sudden it kept doing a striaght line for whatever I inputted.

Still playing with it...

"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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## #4 2006-10-28 12:12:21

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

### Re: Nature, The Golden Ratio and Fibonacci Numbers

It seems to happen after a number of tries.  I can't seem to find any magic number that screws it up.

But great article.  Maybe you want to include the formula for the fib numbers, which also happens to use the golden ratio.

"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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## #5 2006-10-28 12:27:05

MathsIsFun
Registered: 2005-01-21
Posts: 7,664

### Re: Nature, The Golden Ratio and Fibonacci Numbers

Could be something wrong with the number - an extra space or something, so that it is "NAN" (not a number).

I slightly altered how it interprets the number ... hopefully that will fix it.

Yes, the formula for Fibonacci Numbers is a good idea, but maybe not in that article.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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