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 Now online (2)big dariusgriffin ...and 368 guests Last 5 registered Oplandisks nothingstar N_loop yipe foxtrotromeo Browse members... |
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Picked up The Golden Ratio by Mario Livio yesterday....bloody good read... I know a lot of you are intrigued by this sort of thing....this book explains all & talks about all the places phi crops up.... Amazon says... "Synopsis What do the Parthenon in Greece, crosses in graveyards, the ratio of the height of the navel to a woman's total height, sunflowers and Leonardo da Vinci's Mona Lisa have in common? The answer is that these disparate elements share a geometrical proportion of ancient origin, commonly known as the "Golden Ratio", or expressed numerically as phi. In a journey through art and architecture, botany and biology, taking in fractals and DNA on the way, Livio takes us into the heart of this extraordinary number, and gives an account of the phi-obsessed individuals who devoted their lives to discovering their secrets - from the Pythagoreans who believed that the study of the "Golden Ratio" would reveal the hand of God, to the great astronomer Johannes Kepler who felt that phi was the greatest treasure of geometry, to the modern day scientists who are discovering ever more remarkable ramifications of this strange, almost mystical number. " |
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55 is a cool number too |
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why?... |
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say it outloud just, fucking hardcore. |
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btw... what IS the golden ratio... whats the actually number ratio? i read that whole thing, and it didnt tell me... :'( |
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Do a google on it, mate.... God! you Boc fans are thick sometimes.... |
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:P |
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i just feel cheated is all... i see a topic called the golden ratio, and i proccede to read a long post about it... but no # is given! what a major bummer dude |
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the number itself goes on and on and on like pi does... because it is not one single number, the ratio just keeps going and going..... bartok used it a lot to place the climax in his compositions.... its a very interesting thing... But I was told that its the golden mean....... and there is a specific word.... the fibbinaci series... i think... or something close to that. |
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Ddin't the Masons keep the golden ratio secret for years (after they discovered about it from greek geometry) as they thought it was mystical or something? Sounds a good book, how technical does it get? Is it easy to understand in laymans terms? |
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I should pick that book up, sounds like a good read. The Golden Ratio is something like 1:1.618033989. But obviously only to a few decimal places. It's cool because 1/phi = phi-1, ie. 1/1.618033989 = 0.618033989, or something. What do I know, the Greeks had it all down. |
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The golden ratio is nothing really magic or interresting - it's defined by (1+sqrt(5))/2 ~= 1,6180339887498948482045868343656... my two euro-cents. |
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it's when a is to b as b is to a-b or a/b=b/(a-b)=1,618... |
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or b*b = a*a-a*b or a*a - a*b - b*b = 0 or a=(b+sqrt(b*b+4b*b))/2 or when b=1 then a=(1+sqrt(5))/2 as str_ph already said |
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then a/b = a = 1,618... |
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1/(a/b) = b/a = (a-b)/b = a/b - 1 that's why 1/1.618033989 = 0.618033989 as martinhm said |
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just a little remark : the third line is true if you take (a>0) ; depending if your 'or' is the 'equivalent to' symbol or 'implication' symbol. I think that the golden ratio has been used in by contemporary composers - especially those who worked on graphical notations ( Stockhausen ? ). |
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yeah, it's a plus/minus, but a IS >0 cause it's a rectangular's side in fact. |
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The Golden Ratio is natures perfections. Sunflower's, Pine Cones, and other perfect shapes in nature are based off the golden spiral. I did a research paper on the Golden Ratio and it's relation to Egyptian Art. All Egyptian art had a standard of proportions for theit subjects based on the golden ratio. A grid was laid out and then each figure was plotted along the grid with set lengths for each part of the body. That is why all Egyptian art is so idealized and beautiful. Wish I knew more about it, maybe I'll read the book. Hey, your done reading it, why not pass it over the ocean to me;) |
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yeah, I should do that....:)... it actually debunks a lot of the myths about it; things like the Pyramids & Acropolis...a lot of stuff gets attributed to the Golden ratio actually has very little to do with it.....the book highlights the very fine line between numerology and hard science.... My personal interest in it is due to the way it crops up all the time in growth patterns & forms found in nature....& how those eventually express themselves for us in Art, Science, Maths.... And Zeus...the "thick Boc fans" mention was because of the Box track "A is to B as B is to C" which is the dictionary definition of the Golden Ratio.... Ceri: yeah, it's a pretty easy-going read...not too technical (I wouldn't be able to handle it if it was...:)... |
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i saw a show about faces that showed that people that are 'universally' beautiful (some kind of non-cultural high concensus) have some physical aspects that follows the golden ratio. i forgot which exact parts of the faces they are though. |
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oh! (1.618033989...)^2 = 2.618033989... |
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