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Golden Ratio:     more books (52)

A key to golden ratio geometry by Joan Moore, 1998 Golden Ratio: Mathematics, Irrational number, Mathematical constant, Phidias, Algebraic number, Golden rectangle, Plato, Euclid, Fibonacci, Luca Pacioli, Johannes Kepler, Charles Bonnet, Roger Penrose Approximating the mean waiting time under the golden ratio policy (Research report RC. International Business Machines Corporation. Research Division) by Thomas K Philips, 1988 The Golden Ratio - Story Of Phi, The World's Most Astonishing Number by Mario Livio, 2003-01-01 The Golden Ratio The Story of PHI the Worlds Most Astonishing Number Discover it!: Fractions, area, perimeter, Pythagoras, golden ratio, limits by Manuel Dominguez, 1986 Beyond the Golden Ratio by Daljit S. Jandu, 2008-02-07 The Golden Ratio: The Story of Phi, the World's Most Astonishing Number by Mario Livio, 2002-01-01 The Golden Section: An Ancient Egyptian and Grecian Proportion by Steven L Griffing, 2007-11-19 Number Theory and the Periodicity of Matter by Jan C. A. Boeyens, Demetrius C. Levendis, 2010-11-30 Nature: An entry from Macmillan Reference USA's <i>Macmillan Reference USA Science Library: Mathematics</i> by Bart Geerts, 2002 GEOMETRY AND PLANNING: An entry from Gale's <i>Arts and Humanities Through the Eras</i> Geometry in nature and Persian architecture [An article from: Building and Environment] by M. Hejazi, Will the rest of the world live like America? [An article from: Technology in Society] by J.H. Ausubel,

lists with details

41. Golden Ratio - RationalWiki
    Retrieved from http//rationalwiki.com/wiki/golden_ratio . Categories Logic Mathematics. Views. Article; Talk; Edit; fossil record. Personal tools  
    http://rationalwiki.com/wiki/Golden_ratio
    
    Extractions: Please see the "see also" or "references" sections for further explanation. The golden ratio golden number golden section (when applied to the division of a line) or has been known for millennia. It is defined as "the ratio between two numbers such that the lesser is to the greater as the greater is to the sum" The golden section: The golden ratio applied to the division of a line A:B = B:(A+B) B:A = φ = 1.61803398874989484820458683436563811772030917980576 (approx) Its exact value is It has generally been thought to be pleasing and harmonious to human perception and is the basis of much classical architecture. The usage of the Greek letter phi to represent the golden ratio was suggested by mathematician Mark Barr from the first letter of Phidias (ancient Greek, Φειδίας), the sculptor who was alleged to have used it in creating statues for the Parthenon. The golden number (or an approximation) appears often in nature and is the convergent point of the ratio of successive terms of the Fibonacci sequence A rectangle with the ratio of opposite sides equal to the golden ratio. It is supposedly particularly pleasant, visually.

42. Golden Ratio - Conservapedia
    edit References. http//www.beautyanalysis.com/index2_mba.htm. Retrieved from http//www.conservapedia.com/golden_ratio . Category Mathematics  
    http://www.conservapedia.com/Golden_Ratio
    
    Extractions: Jump to: navigation search The golden ratio is a number, commonly known as phi ( ), defined as . The value of phi is Phi is an irrational number . In decimal form it is often written 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. 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 which the gods used for embroidering the constellation on the whole heaven.

43. Finds The Best Fit Of Binary System To A Set Of Given Observables
    define golden_ratio 0.381966011 // = (3 sqrt(5)) / 2 // define CONTOUR_OUTPUT_SUFFIX .contour // remark this line to prevent contour files (and an  
    http://cfa-www.harvard.edu/~jdevor/MECI/source/utils/meci_singleIter.c
    
    Extractions: /************************************************************************ * Finds the best fit of binary system to a set of given observables * (see astro-ph/0510067 as well as the accompanied ReadMe file for further details) * * Written by Jonathan Devor (jdevor@cfa.harvard.edu) * Harvard-Smithsonian Center for Astrophysics * 60 Garden St., Cambridge, MA 02138 USA * compile: gcc meci_singleIter.c debil_lib.c -o meci_singleIter -lm -Wall -O4 * * run: meci q1.dblc LimbDarkTable.txt SunIsochrone.txt q1.meci q1.meci_err 5 5 5 * * plot: * * idl * IDL> .run listMECI.txt.idl * IDL> exit * * convertPS2jpg.s * convertPS2bmp.s * gzip *.ps *.contour *************************************************************************/ #include #include #include // for MAXFLOAT #include < -MAX_CONTOUR_LABEL_LEN+2) return (4) ; strcpy (labels[i], "0.") ; for (j = exponent+1 ; j < subsetLen ; i++) for (j = ; j < NUM_CONTOUR_LEVELS ; i++) fprintf (foutIDL, ",%s", labels[i]) ; fprintf (foutIDL, "], c_annotation=['0'") ; for (i = ; i < 0.0) LCweighting = -LCweighting * size ; score *= LCweighting ; // information weighting for (n = ; n

44. E CVS: Forecasts Urandom
    a); + define golden_ratio 1.618033989 + + define DEBUG(f, . . to the popup */ + if ((double) ww / wh golden_ratio) { + wh = ww / golden_ratio;  
    http://www.mail-archive.com/enlightenment-cvs@lists.sourceforge.net/msg35995.htm
    
    Extractions: Mon, 26 Feb 2007 10:26:27 -0800 _ enlightenment-cvs mailing list enlightenment-cvs@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/enlightenment-cvs E CVS: forecasts urandom Enlightenment CVS E CVS: forecasts urandom Enlightenment CVS E CVS: forecasts urandom Enlightenment CVS E CVS: forecasts urandom Enlightenment CVS E CVS: forecasts urandom Enlightenment CVS E CVS: forecasts urandom Enlightenment CVS E CVS: forecasts urandom Enlightenment CVS Reply via email to

45. -*-hoc
    17Aug-2005 golden_ratio = (1.0 + sqrt(5.0))/2.0 lo = hi = n = 1  
    http://www.math.utah.edu/~beebe/software/java/fibonacci/Fibonacci4.hoc

46. Golden Ratio LinkedWords™ - Contextually Find And Manage Web Informati
    Added April 6, 2006, 233 am Found in page http//www.linkedwords. com/business/accounting/accounting-terms/asset-accounting/golden_ratio.php - Main  
    http://www.linkedwords.com/business/accounting/accounting-terms/asset-accounting

47. Playing With Fibonacci In Visualization Layout Algorithms
    public static const golden_ratioNumber = (1 + Math.sqrt(5)) / 2; PI / (golden_ratio * golden_ratio);. Related articles you should check out  
    http://danielmclaren.net/2008/01/playing-with-fibonacci-in-visualization-layout-
    
    Extractions: @import "/modules/geshifilter/geshifilter.css"; @import "/modules/node/node.css"; @import "/modules/system/defaults.css"; @import "/modules/system/system.css"; @import "/modules/user/user.css"; @import "/modules/devel/devel.css"; @import "/modules/relatedcontent/relatedcontent.css"; @import "/modules/comment/comment.css"; @import "/themes/danielmclaren/style.css"; Home Blogs Jan 14 2008 - 1:32am The Fibonacci numbers are part of a sequence where each number is the sum of the two previous numbers. The first two numbers are ones so the sequence starts out like this: I won't get into the details but the Fibonacci sequence , the Golden Ratio , and the Golden Angle are all related and interesting and occur in various places in nature. When I heard about this I stashed a couple constants in my MathUtils class and played around with ways to use them for visualizations. That tomfoolery resulted in the following little app: This Flash movie is the result of playing with layout algorithms using the Golden Angle. The combobox lets you control the numbers that get highlighted, revealing some of the spirals that appear in the pattern.

48. Carl's Whine Rack: The Golden Ratio And The Fibonacci Series (Perl Program)
    my $golden_ratio = 0.5 * (1.0 + sqrt(5)); my $deviation = abs($golden_ratio$ratio) / $golden_ratio; printf % 3d %e\n , $iteration_number, $deviation;  
    http://mbrisby.blogspot.com/2006/04/golden-ratio-and-fibonacci-series-perl.html
    
    Extractions: @import url("http://www.blogger.com/css/blog_controls.css"); @import url("http://www.blogger.com/dyn-css/authorization.css?targetBlogID=21734857"); var BL_backlinkURL = "http://www.blogger.com/dyn-js/backlink_count.js";var BL_blogId = "21734857"; Using GNU/Linux through creative laziness (and other topics as they strike my fancy) I've been re-reading Dan Brown's The Da Vinci Code lately, and I was intrigued by the Golden Ratio and how it relates to the Fibonacci series. The Fibonacci series is such that each term is the sum of the previous two terms:

49. Core/vnl: Core/vnl/algo/vnl_bracket_minimum.cxx Source File
    include vcl_iostream.h 00016 00017 static const double golden_ratio = 1.618033988749894848; // = 0.5*(vcl_sqrt(5)1); 00018 static const double EPS  
    http://www.lems.brown.edu/vision/vxl_doc/html/core/vnl/html/vnl__bracket__minimu
    
    Extractions: Go to the documentation of this file. // This is core/vnl/algo/vnl_bracket_minimum.cxx #ifdef VCL_NEEDS_PRAGMA_INTERFACE #pragma implementation #endif #include " vnl_bracket_minimum.h vnl/algo/vnl_fit_parabola.h static const double static const double EPS = 1e-7; // Loose tolerance static const double EPSqr = 1e-14; inline void swap double double double x=a; 00023 a=b; 00024 b=x; class v f public f v double double v [0]=x; return f f v // Final function values at a,b,c stored in fa,fb,fc void double double double double double double // Set up object to evaluate function // Note that fn takes a vector input - f converts a scalar to a vector f(fn); if (b==a) b=a+1.0; 00047 fa = f(a); 00048 fb = f(b); if swap (a,b); swap (fa,fb); // Initial guess at c 00057 c = b+ GOLDEN_RATIO*(b-a); 00058 fc = f(c); while // Keep stepping until we go uphill again // Use parabolic interpolation to estimate position of centre double p,q; (a,b,c,fa,fb,fc,p,q); // Ensure q not within EPSqr of zero if else if // Estimate of centre of parabolic fit - ie minimum // For true quadratic function, minima is at b+p/q

50. Qabalistic Links Part 2 [Archive] - Pagan Forums MysticWicks
    http//wwwgap.dcs.st-and.ac.uk/~history/HistTopics/golden_ratio.html (http//www-gap. dcs.st-and.ac.uk/~history/HistTopics/golden_ratio.html)  
    http://mysticwicks.com/archive/index.php/t-91999.html
    
    Extractions: As I have already said Venus has an eight year cycle which when plotted draws a perfect pentagram in the sky. This image of the pentagram can be found in many forms in many different cultures. Bethra April 19th, 2005, 03:15 PM As I have perviously said the original Olypmic games were dedicated to Venus and were held every eight years in line with her eight year orbitary cycle. The original emblem of the Olympic games was a Pentical. The whole of the games were a cellibration held in the name of the Goddess Venus. At the introduction of Christianity the Olympic offichials decided to change the original emblem as it had far too many Pagan implications. They opted instead for the shape we now know today. The five rings interlocking. The five rings still symbolise the five points of the pentagram. Bethra April 19th, 2005, 03:28 PM

51. Golden Ratio - InfoVis:Wiki
    Wikipedia, Golden Ratio, 2005 Wikipedia.org, Golden Ratio, 19.10.2005, http//en.wikipedia.org/wiki/golden_ratio. Absoluteastronomy Absoluteastronomy  
    http://www.infovis-wiki.net/index.php?title=Golden_Ratio

52. Math (LingPipe API)
    static double, golden_ratio The value of the golden ratio. static double, LN_2 golden_ratio. public static final double golden_ratio  
    http://alias-i.com/lingpipe/docs/api/com/aliasi/util/Math.html

53. Title
    The Golden Ratio. . .  
    http://www.geocities.com/lipa_lot/golden_ratio.htm dir=rtl

54. Photos From Golden Spiral
    fly 2 / /a /p p Intrigued by the Golden ratio theory a href= http//en. wikipedia.org/wiki/golden_ratio en.wikipedia.org/wiki/golden_ratio /a .  
    http://api.flickr.com/services/feeds/photoset.gne?set=72157602141958578&nsid=100

55. Timepedia Chronoscope Introduction And Tutorial
    XYDataset; public class HelloChart implements EntryPoint { public void onModuleLoad() { double golden_ratio = 1.618; int chartWidth = 600,  
    http://timepedia.org/chronoscope/docs/gwt/intro/
    
    Extractions: Hello Chart a simple line chart Assuming you have Google Web Toolkit installed already. If not, http://code.google.com/webtoolkit/gettingstarted.html applicationCreator -out HelloChart com.example.client.HelloChart Edit src/com/example/HelloChart.gwt.xml and add a line to inherit Chronoscope. You'll also need to add chronoscope and gwtexporter to your CLASSPATH. For example, make a lib/ directory and put chronoscope.jar and gwtexporter.jar in it. Then add them to the -cp argument in HelloChart-compile and HelloChart-shell. Inherit org.timepedia.chronoscope.Chronoscope We'll use a json file for the dataset, it should be in the format: Datasets with the same axis: identifier will share the same range axis, which is useful if they're units like "hours", "km", "kbps", "$", etc. Modify the index.html applicationCreator made and add the script tag to import dataset.js Home About Blog Contact Us

56. Vimts=8sw=3sts=8noexpandtabcino= 5n-3f0^-2{2 */ Include Eh
    (*h)) *h = 0; /* Apply the golden ratio to the popup */ if ((double) *w / *h golden_ratio) { *h = *w / golden_ratio; } else if ((double) *w / *h  
    http://web.enlightenment.org/viewvc/e_modules/calendar/e_mod_main.c?revision=1.1

57. Discover From Your Favorite Topic Or Web Page: En.wikipedia.org/wiki/Golden_rati
    Enter a topic or web address, discover more related. All Bookmarks Log In Register Submit Your Site Discover From. Google, Enter your search terms  
    http://www.megite.com/url/:en.wikipedia.org/wiki/Golden_ratio

58. IPhone Size Comparison Photos [Archive] - Mac Forums
    is the ratio of its longer side to the iPhone s shorter side in accordance with the golden ratio (http//en.wikipedia.org/wiki/golden_ratio)? p  
    http://forums.macrumors.com/archive/index.php/t-322938.html

59. Math::Basic API Reference
    golden_ratio constant Num MathBasicφ constant Num MathBasicphi constant Num MathBasicgolden_ratio. The golden ratio, roughly equal to  
    http://moritz.faui2k3.org/pugs/docs/Perl6/API/Math/Basic.pod.html
    
    Extractions: Index This file was automatically generated from http://svn.pugscode.org/pugs/docs/Perl6/API/Math/Basic.pod on Wed Jun 6 22:16:47 2007 GMT, revision 16639. Math::Basic API reference use Math::Basic The following export tags are available: :UNI :compat :constants To export the constants provided by Math::Basic use the :constants tag when importing: use Math::Basic :constants; The following functions are exported by default: our Num multi Math::Basic::abs ( Num $x ) our Int multi Math::Basic::abs ( Int $x ) our Complex multi Math::Basic::abs ( Complex $x ) The absolute value or modulus of $x , as denoted in mathematics by The absolute value of a complex number is a generalization of this basic operation.

60. Dmath: Math Routines For Python's Arbitrary-precision Decimal Type - Brian's Blo
    We now have acos , asin , atan , atan2 , ceil , cos , cosh , degrees , e , exp , floor , golden_ratio , hypot , log , log10 , pi , pow , radians , sign  
    http://blog.case.edu/bmb12/2006/09/dmath_math_routines_for_pythons_arbitraryprec
    
    Extractions: posted by brian at 03:27 PM Yesterday Chris and I spent all day writing math functions for Python's Decimal type . The result is our new dmath library, available on Google Code and the Cheese Shop under the MIT/X11 license. Sparked by the routine for atan in my last post , I decided it wouldn't be too hard to go ahead and do the rest of the functions already offered by math and cmath . We now have acos asin atan ceil cos cosh degrees e exp floor hypot log pi pow radians sign sin sinh sqrt tan , and tanh Check it out: We're calling this release 0.9 because it just needs some testing and maybe some speed improvements, otherwise it's ready to use. There is currently some work being done in Python sandbox/trunk to convert the decimal module to C, and maybe they'll include fast versions of all these routines. But hey, you can use these right now! Arbitrary precision is one of the coolest things in programming. We spent a lot of time in

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