Dan Brown's PHI.
Dan Brown's PHI.
(OP)
My wife is reading Dan Brown's book The Davinci code on pages 130 to 132 he makes referance to the Divine Proportion, PHI=1.618. I've never heard of this before and was just wondering if it true or just another of Dan Brown spins.





RE: Dan Brown's PHI.
RE: Dan Brown's PHI.
You may find interest -among others- in
www.jimloy.com/geometry/pentagon.htm
www.jimloy.com/geometry/golden.htm
You juxt ask for the golden ratio and the web will bring you many sites.
RE: Dan Brown's PHI.
Thanks for the replies guys,boy will she be sorry she asked me that.
RE: Dan Brown's PHI.
European "A" paper sizes use the golden ratio. Fold a piece of A3 paper in half and you get an A4 piece of paper. Repeat and you get A5. The long and short edges remain in proportion.
A thin flat plate with free boundary conditions and dimensions of the golden ratio has its first two natural frequencies (bending and torsion) at precisely the same frequency.
M
--
Dr Michael F Platten
RE: Dan Brown's PHI.
corus
RE: Dan Brown's PHI.
1.618 = 1 + 0.5[sqrt(5)-1]
I think the parthenon was built with this ratio.
If you design a machine base/frame using the golden rectangle ratio with angle irons, beams etc, it looks more "schweppervescent" - makes the other guy's design look like a "clunker"
RE: Dan Brown's PHI.
When you want something to look "rightly rectangular", not too thin, not too fat, golden ratio proportions are the best place to start.
RE: Dan Brown's PHI.
Metric paper is not based on the Golden Ratio. It is based on the square root of two, 1.41. You divide the long side by two, and get the same ratio.
JHG
RE: Dan Brown's PHI.
If one folds a "golden ratio" piece of paper in half, an even number of times, 2, 4, 6, etc., the sides of the resulting rectangles follow the golden ratio: (1+√5)/2 = 1.618...
BTW, the same would happen with any rectangle in which the original ratio is ≤ 2.
Only when the ratio equals √2= 1.414..., the same ratio appears on any folding.
RE: Dan Brown's PHI.
You must at least be impressed with my second fact. I discovered that myself!
M
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Dr Michael F Platten
RE: Dan Brown's PHI.
Dr Platten, although I'm unable to check your findings, my congratulations on this achievement.
"Some people make things happen, some watch things happen, and some wondered what happened." Charles Garfield
You, no doubt, belong to the first category; most of us to the others.