21. Golden Ratio - Uncyclopedia, The Content-free Encyclopedia Apr 22, 2010 The golden ratio, usually demoted as the golden mean, expresses the relationship that the sum of two quantities plus quantity one minus the http://uncyclopedia.wikia.com/wiki/Golden_ratio

22. Golden Ratio (phi) The golden ratio is an irrational number of the type known as an algebraic number (in contrast with pi and e, which are transcendental) and is represented http://www.daviddarling.info/encyclopedia/G/golden_ratio.html

NOTABLE NUMBERS A B C ... CONTACT entire Web this site A remarkable number that, like pi and e , pops up all over the place in mathematics but, in some ways, has a more "human" connection in that it seems to be linked to aesthetics. Its name, which is also given as the golden mean , the golden section , the golden number , and the divine proportion , reflects this sense of a harmonious or pleasing ideal. The golden ratio is an irrational number of the type known as an algebraic number (in contrast with pi and e Fibonacci sequence ; in fact, F n F n ) gets closer and closer to phi as n continued fraction Two quantities are said to be in the golden ratio, if the ratio of the larger one, a , to the smaller one, b , is the same as the ratio of the smaller one to their difference, i.e., a b b a b ). The so-called golden rectangle is one whose sides a and b stand in the golden ratio. It is famously said to have great aesthetic appeal and is closely approximated by the dimensions of the front of the Parthenon in Rome. Leonardo da Vinci's masterpiece the Mona Lisa is said to have a face that is framed by a golden rectangle; what is certain is that Leonardo was a The golden ratio appears in Dali's The Last Supper close personal friend of Luca Pacioli , who published a three-volume treatise on the golden ratio, Divina Proportione , in 1509. The Swiss-French architect and painter Le Corbusier designed an entire proportional system called the "Modulor," that was based on the golden ratio. The Modulor was supposed to provide a standardized system that would automatically confer harmonious proportions to everything, from door handles to high-rise buildings. Another artist who deliberately used the golden ratio is the surrealist Salvador Dali. The ratio of the dimensions of Dali's Sacrament of the Last Supper is equal to the golden ratio. Dali also incorporated in the painting a huge dodecahedron (a twelve-faced Platonic solid in which each side is a pentagon) engulfing the supper table.

23. Mudvayne - Golden Ratio Lyrics Golden Ratio Lyrics added 25 january 2007. Mudvayne Golden Ratio lyrics. Send Golden Ratio Ringtone to your Cell. Songwriters Gray, Chad L.; http://www.lyricsmode.com/lyrics/m/mudvayne/golden_ratio.html

24. Golden Ratio - Conservapedia The golden ratio appears in innumerable places in nature and art. The periods of the planets are all related by the golden ratio. http://www.conservapedia.com/Golden_Ratio

Golden Ratio From Conservapedia Jump to: navigation search The golden ratio is a number, commonly known as phi ( ), defined to be the larger of the two solutions to . The value of phi is Phi is an irrational number . Its decimal expansion begins The golden ratio was first defined by Euclid of Alexandria around 300BC. His definition reads: A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser. Contents The golden ratio in nature and art Fibonacci Numbers and the Golden Ratio The golden ratio in art See also ... References The golden ratio in nature and art The golden ratio appears in innumerable places in nature and art. The periods of the planets are all related by the golden ratio. The proportions of the bodies of many animals, including humans, dolphins, and ants are all based on the golden ratio. The Parthenon Egyptian Pyramids The Last Supper Ark of the Covenant ... Noah's ark , and even the common credit card are all based on the golden ratio. A dodecahedron, a solid in which each side is a pentagon, is related to the Golden Ratio in that both the surface area and the volume of a dodecahedron of unit edge length are functions of the Golden Ratio. Plato described the dodecahedron as the solid

25. Top 10 Sites About Golden Ratio | Xmarks Top 10 websites about Golden Ratio, with user reviews and ratings. http://www.xmarks.com/topic/golden_ratio

Home Features Download Help ... Log In Bookmark Sync and Search Get Info Safe mode is ON.  Turn OFF? Share This Page Tweet Topic: Golden Ratio Report This Topic Related Topics: Golden Mean Golden Section Divine Proportion Fibonacci Numbers ... Golden Top Sites about:  Golden Ratio Golden ratio - Wikipedia, the free encyclopedia en.wikipedia.org/wiki/Golden_ratio Get Site Info Golden Ratio Calculator Golden Ratio Calculations for Designers www.goldenratiocalculator.com Get Site Info Phi: 1.618. The 'phinest' source to the golden section, golden mean, divine proportion, Fibonacci series and phi, 1.618... The "phinest" information on the Golden Section, Divine Proportion, Fibonacci series and phi. Explore its application to art, design, life, beauty, mathematics, geometry, stock markets, theology, cosmology and more. www.goldennumber.net Get Site Info Applying Mathematics To Web Design - Smashing Magazine “Mathematics is beautiful.” This may sound absurd to people who wince at numbers and equations. But some of the most beautiful things in nature and our universe... www.smashingmagazine.com/2010/02/09/applying-mathematics

26. Eid Natok 2009 | Golden Ratio Bangladeshi Bangla Natok - Bd-Natok.com Golden Ratio Director/Script Diponkor Dipon Cast Anisul Rahman Milon, Tisha, Enamul Haque and More Genre Comedy / Romantic/ Bhalobashar Natok Aired On http://bd-natok.com/natok/Eid_Natok_2009/Golden_Ratio

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27. Major Blog - Math, Golden Ratio, Golden Ratio x 1 = (x + 1) x is called golden ratio. You can also imagine that a section divided into two parts (x, 1), and the ratio of the greater part (x) to http://blog.major-world.com/article-en/21/Golden_Ratio.html

28. Wapedia - Wiki: Golden Ratio In mathematics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio http://wapedia.mobi/en/Golden_ratio

Wiki: Golden ratio For the Ace of Base album, see The Golden Ratio (album) In mathematics and the arts , two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant , approximately 1.6180339887. Other names frequently used for the golden ratio are the golden section (Latin: sectio aurea ) and golden mean Other terms encountered include extreme and mean ratio medial section divine proportion divine section (Latin: sectio divina golden proportion golden cut golden number , and mean of Phidias The golden ratio is often denoted by the Greek letter phi , usually lower case ( The golden section is a line segment divided according to the golden ratio: The total length a + b is to the longer segment a as a is to the shorter segment b The figure on the right illustrates the geometric relationship that defines this constant. Expressed algebraically: This equation has one positive solution in the algebraic irrational number At least since the Renaissance , many artists and architects have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle , in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aesthetically pleasing.

29. AmarNatok.com - FREE Bangla Natoks, Drama Serials, Ittadi, Recipes! - Golden Rat 50 posts 13 authors - Last post 2 days agoAmarNatok.com - FREE Bangla Natoks, Drama Serials, Ittadi, Recipes! - Golden Ratio. http://www.amarnatok.com/index.php?page=Golden_Ratio

30. Golden Ratio (Quarter Life Crisis) Jan 12, 2008 Last October I already went on about the golden ratio and how people brabble about it all along � http://earthlingsoft.net/ssp/blog/2008/01/golden_ratio

31. Q Factor (PEQ Application) [Text View] - AVS Forum 6 posts 3 authors - Last post Oct 5, 2008See golden ratio (http//en.wikipedia.org/wiki/golden_ratio) if you are not Multiply the center frequency 8 kHz by the golden ratio, http://www.avsforum.com/avs-vb/archive/index.php/t-1072752.html

AVS Forum Audio Related Audio theory, Setup and Chat PDA View Full Version : Q Factor (PEQ application) Jonomega 10-05-08, 12:08 AM I'm playing around with the NWEQ V1.21 plugin for Foobar and as typical with PEQs, you can select the center frequency (f0), the Q-factor (Q), the Gain (dB), and something else called "Character" which has a range of 1F to 2F. I have no clue what "Character" does, so I'll leave that alone for now. Q is defined to be the center frequency divided by the FWHM (delta f) according to wikipedia. I can only set the Q and not f1 and f2. How do I know the change in Q that I set affects a log frequency or linear frequency spread? I understand that HM is the -3dB point. Edit: Actually, I think I understand this a bit better now after reading about "octave bandwidth factor: N" where Q is related to it by [sqrt(2^N)]/[(2^N)-1] (found on wikipedia) Also this (http://www.sengpielaudio.com/calculator-bandwidth.htm) page. For anyone who is interested in "what Q should I use if I want a certain bandwidth", check out this (http://www.rane.com/note170.html) site as well as the excel sheet that they provide. It is very handy! Terry Montlick 10-05-08, 11:17 AM

32. The Golden Ratio But the Golden Ratio, the formula underlying The Diet Code, is rooted not only in the history of mathematics, but also in the origins of the universe. http://www.diet-code.com/u_thecode/golden_ratio.htm

Home Understanding the Code Following the Code Cooking the Code ... Author Bio the golden ratio When it comes to actually following The Diet Code program, the practice is much simpler than the theory. But the Golden Ratio, the formula underlying The Diet Code , is rooted not only in the history of mathematics, but also in the origins of the universe. Whether you�re a closet mathematician or you�re just looking to feel better and lose a few pounds, understanding the science behind The Diet Code will help explain why eating The Diet Code way feels so right and so natural. The science behind this plan is the same that guides human biology - that�s what The Diet Code is all about: eating the way we are built to eat. A couple of years before Columbus made his first trans-Atlantic voyage Leonardo da Vinci completed a five-point rendition of the human body. His now famous Vitruvian Man drawing (represented on THE DIET CODE cover) of spread-eagled arms and legs bound by a circle revived a symbol tracing back 6000 years to Mesopotamia: the pentacle. The ancient Greek mathematical school of Pythagoras (often credited with the earliest documented use of the Golden Ratio) saw such perfection in the pentacle they called it Hygeia , or health. It's five elements even comprise the component recipe for bread! In medieval lore the pentacle stood for the five chivalric virtues of the Grail knights. Further, the word grail itself derived from Mesopotamian

33. Mordant Orange: Golden Ratio Jan 9, 2006 The rectangle that is the iPod comes closer than any other MP3 player to the golden ratio 1 1.618 (also sometimes called the golden http://www.mordantorange.com/blog/archives/2006/01/golden_ratio.html

34. Golden Ratio Of Private Investment And Government Regulation Needed For Sustaina Golden Ratio of Private Investment and Government Regulation Needed For Sustainable Energy Ascension. Published July 14, 2010July 2010 http://jrse.aip.org/07_14_10_golden_ratio_of_private_investment_and_government_r

35. The Golden Ratio And The Fibonacci Numbers A presentation of the relationship between the Golden Ratio and the Fibonacci Numbers from the proceedings of the Friesian School. http://www.friesian.com/golden.htm

The Golden Ratio and The Fibonacci Numbers The Golden Ratio ) is an irrational number with several curious properties. It can be defined as that number which is equal to its own reciprocal plus one: . Multiplying both sides of this same equation by the Golden Ratio we derive the interesting property that the square of the Golden Ratio is equal to the simple number itself plus one: . Since that equation can be written as , we can derive the value of the Golden Ratio from the quadratic equation, , with a = 1 b = -1 , and c = -1 . The Golden Ratio is an irrational number, but not a transcendental one (like ), since it is the solution to a polynomial equation. This gives us either or . The first number is usually regarded as the Golden Ratio itself, the second as the negative of its reciprocal or we can use the second in its own right, as the number " ," for which there will be a use below. The Golden Ratio can also be derived from trigonometic functions: = 2 sin 3 /10 = 2 cos ; and = 2 sin /10 = 2 cos 2 . The angles in the trigonometric equations in degrees rather than radians are o o o , and 72 o , respectively.

36. Golden Ratio -- From Wolfram MathWorld The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric http://mathworld.wolfram.com/GoldenRatio.html

37. The Golden Ratio Examines the uses/occurrences of phi in biology, art, and ancient times. http://library.thinkquest.org/C005449

[ Created by Team C005449 ] Click h e r e to enter.

38. Golden Ratio The golden ratio (symbol is the Greek letter phi shown at left) is a special number approximately equal to 1.618. It appears many times in geometry, art, architecture and http://www.mathsisfun.com/numbers/golden-ratio.html

39. Golden Ratio Calculator Golden Ratio Calculations for Designers How it works. There are two scenarios the calculator is designed for. The first is that you have a column with a certain width http://goldenratiocalculator.com/

Golden Ratio Calculator Enter Width: Need help? How it works There are two scenarios the calculator is designed for. The first is that you have a column with a certain width (perhaps to achieve a nice word:line ratio). You wish to find a matching column. Type in the width and use the left side, which gives you both a smaller and larger column. The second scenario is that you have a container and wish to divide it in two. Type in the container width and use the right side measurements. To see how you can use the golden ratio in your design work, check out this article. Updates I expect to have a bit of time to update various parts of the site in the near future. Specifically adding some kind of "how-to" feature. But for now, as per request the calculator works with GET in the URL, such that http://goldenratiocalculator.com/?width=42 will work as you'd expect. I'm not sure how useful this is; I just do what I'm told. Cheers. Golden Ratio Gadget For all you PC fans out there, Mike Brady took the time to port the Golden Ratio Widget into a Windows sidebar gadget. You can download the file here . Please note that support for this will be limited, as no PCs are employed in this household. Cheers.

40. The Golden Ratio The Golden Ratio. Throughout history, the ratio for length to width of rectangles of 1.61803 39887 49894 84820 has been considered the most pleasing to the eye. http://www.geom.uiuc.edu/~demo5337/s97b/art.htm

The Golden Ratio Throughout history, the ratio for length to width of rectangles of 1.61803 39887 49894 84820 has been considered the most pleasing to the eye. This ratio was named the golden ratio by the Greeks. In the world of mathematics, the numeric value is called "phi", named for the Greek sculptor Phidias. The space between the collumns form golden rectangles. There are golden rectangles throughout this structure which is found in Athens, Greece. He sculpted many things including the bands of sculpture that run above the columns of the Parthenon. You can take a slide show visit to the Parthenon which is pictured above. Phidias widely used the golden ratio in his works of sculpture. The exterior dimensions of the Parthenon in Athens, built in about 440BC, form a perfect golden rectangle. How many examples of golden rectangles can you find in the below floorplan of the Parthenon? You may want to print the diagram and measure the distances using a ruler. Following are more examples of art and architecture which have employed the golden rectangle. This first example of the Great Pyramid of Giza is believed to be 4,600 years old, which was long before the Greeks. Its dimensions are also based on the Golden Ratio. The website about the pyramid gives very extensive details on this.

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