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What are some examples of exact forms of the golden ratio? 
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#1
Jul1114, 03:42 AM

P: 553

Hello all, I am looking for exact forms (as real number expressions) of the golden ration that are not rewrites of the one we all know and love, i.e.
g.r. = 1/2(5^(1/2)+1) Searches in Google have yielded nothing so far :P 


#2
Jul1114, 06:45 AM

Mentor
P: 18,277



#3
Jul1114, 10:50 AM

P: 553

I also checked out Wolfram and I noticed this, =2^(1/v)(5^(1/2)F_{v}+(5(F_{v}^2)4cos(v∏))^(1/v) which is a wonderful general form! Anyone else have anything to add? 


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