Re: what is it?

On Sat, 29 Sep 2001 20:45:30 +0100, Oak3 <oak...@sdf.lonestar.orgNAYSPAM> tried to
confuse everyone with this message:

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>very interesting...but,  1 : 1.6180339 is not = 1.6180339 - 1
>One is a ratio, the sum of the other is a decimal
>what i find interesting is where the square root of 5 came from?
>
>I  assume its from a theorem that im not familiar which you have employed.
>Can you possibly elaborate further.?

Phidian number a=(sqrt(5)+1)/2 is the solution of the equation x^2-x-1=0. It has
some interesting properties.
sqrt - square root. ^ - power


1. It's famous "golden rule" which was used for the first time by Leonardo da
Vinci.
2. a^2=a+1, 1/a=a-1
3.     
            1
   a=  1+ ----------
               1
          1+ --------
                1
            1+ ----
               ...

4. a=sqrt(1+sqrt(1+sqrt(...))))
5.
Fibonacci numbers.



           1
   F(n)= -------*(a^n-(-1/a)^n)
         sqrt(5)



6. And you can meet it in many other occasions. If you divide height of average
human to the height of his legs you'll got Phidian number. 

-- 
Grue <grue sobaka mail.ru>
Mike Throll comic strip at:
http://grue.freeservers.com
Bugsoft Perm at:
http://bugsoft.freeservers.com

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