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21st January 2005, 11:08 PM  #11  
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Yes, but Phi is not 1.6 exactly  it's irrational, (the 'most' irrational number in fact, beacuse it expands into more fractions ) and so it cannot feature in a set that sums to one. (Unless, does the irrationality of the 1/Phi side of a golden rhombus negate the irrationality of Phi side? dunno.) Either way, my mitre saw doesn't have a detent for the square root of 2, so the infinite series part of the measurement gets rounded off in the kerf. My point is theoretical, not practical. In my understanding, the use of the term 'golden' denotes the presence of the ratio Phi (1.619...) so while the "golden ratio" may sum to 1, and other ratios may sum to 1, the golden designation is not conferred upon the others.. I am not a mathemetician, so I'm likely wrong... if I am, please explain more. humbly, Andy
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22nd January 2005, 04:11 AM  #12 
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There's a book out called "The Golden Ration: The story of PHI, the world's most astonishing number". (1/137's pretty good, too, but I digress.) Y'all might like it.
(The ratio can be found in all manner of living things, just by virtue of the way they grow... the nautilus shell is probably the most famous version... see Cardas.)
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22nd January 2005, 11:31 AM  #13  
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22nd January 2005, 06:29 PM  #14  
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GM
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21st February 2012, 06:22 PM  #15 
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Just to record, the Golden Ratio is 1 x 1.618 x 2.618
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21st February 2012, 08:17 PM  #16 
frugalphile(tm)
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The ratio is usually defined by 0.618 to 1 to 1.618. This makes the math easier & more elegant since 1/0.618 = 1.618 (to 3 digits, phi is an irrational number with infinite number of digits in the decimal expansion)
0.618:1:1.618 x 1.618 = 1:1.618:2.618 dave
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21st February 2012, 09:11 PM  #17 
Speakerholic
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Golden ratio: The higher the ratio of gold to 'filler' metals, the more it costs.

21st February 2012, 09:15 PM  #18 
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Or........

21st February 2012, 11:26 PM  #19 
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Location: Brazil

Thanks pal. :)
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12th June 2013, 04:12 PM  #20 
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Join Date: Jan 2010
Location: Midwest U.S.A.

Oh so stinky bad. Translational mode analysis of a prismatic space (rectangles) provides the most spreading of resonances with a ratio of 1.1.414x1.732. Square root of 1x2x3. There has been a lot of nonsense published about this considering some single aspect which misses the translational modes and only considers the main modes. But then wrong is always the most popular.
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