61. Phi: 1.618. The Best Source To The Golden Section, Golden Mean, Divine Proportio GoldenNumber.Net exists to share information on the pervasive appearance of Phi, 1.618 , the Golden Ratio in life and the universe. http://goldennumber.net/

GoldenNumber.net Home Contact Meet the Phi Guy "Phriends" in Phi Site Search ... News Dedicated to providing you with the best information on The Golden Ratio, Section or Mean The Divine Proportion The Fibonacci Series and the golden number, Phi ( PhiMatrix Graphic Design Software for Windows and Mac Click twice on video to view Download free trial 20% off with code GN1618 Site Sections: Overview Design/Composition Life Mathematics ... Other Phi Resources Welcome to GoldenNumber.Net = The PhiSource.com GoldenNumber.Net exists to share information on the pervasive appearance of Phi, 1.618 ... , the Golden Ratio in life and the universe. Its goal is to present a broad sampling of phi related topics in an engaging and easy-to-understand format and to provide an online community , in which new findings about Phi can be shared. Select an area of interest below or START HERE . Enjoy the 'phi nomenon'! SITE CONTENTS Overview Design/Composition Life Mathematics ... Phi to 20,000 places

62. Golden Ratio Organics - Lifestyle Workshops And Sustainable Creations Hand crafted products made from organic ingredients. Created to heal, regenerate and sooth the body and mind. Healing can be stimulated from the inside out through herbs http://goldenratioorganics.com/products.html

Gift Baskets Sample Packages Payment Options Golden Ratio Hand crafted products made from organic ingredients. Created to heal, regenerate and sooth the body and mind. Healing can be stimulated from the inside out through herbs, essential oils and organic ingredients that work on supporting the function of the immune and neurological systems. Golden Ratio has chosen ingredients to calm, relax,and nourish the body back to health. Golden Ratio creates products such as salves, massage oils and creams that can be applied to both human and animal. Many herbs, essential oils and organic properties provide the same healing and nurturing benefits. Golden Ratio products are: 100% Biodegradable 100% Recyclable 100% Animal cruelty free Supporting local farmers Products (Scroll down for Animal Care Products) Silky Smooth Hydrating Cream - 2 oz / $19.95 Our delicious skin care cream leaves your skin smooth and supple to the touch. Natural organic products are combined to penetrate, soften and create a natural radiance to your skin. Ingredients: Sweet Almond Oil (prunus dulcis) Grapeseed Oil (vistis vinifera) Coconut Oil (cocos nucifera) Jojoba Oil, (simmondsia californica) Hydrosol Infusions of Calendula (calendula officinalis) and Chamomile (matricaria recutita) Aloe Vera Gel, Beeswax, Vitamin E, Potassium Sorbate (preservative), Citric Acid (preservative)

63. YouTube - Golden Ratio Sep 25, 2008 It s the gold standard of ratios! A golden ratio, also known as a golden section , golden mean, and divine proportion is related to http://www.youtube.com/watch?v=fmaVqkR0ZXg

64. The Golden Ratio And Aesthetics | Plus.maths.org Mario Livio is a scientist and selfproclaimed art fanatic who owns many hundreds of art books. Recently, he combined his passions for science and art in two popular books http://plus.maths.org/issue22/features/golden/

Skip to Navigation about Plus support Plus Plus sponsors ... subscribe to Plus Search this site: The golden ratio and aesthetics by Mario Livio Issue 22 Submitted by plusadmin on November 1, 2002 in Aesthetics Fibonacci number golden ratio November 2002 Mario Livio is a scientist and self-proclaimed "art fanatic" who owns many hundreds of art books. Recently, he combined his passions for science and art in two popular books, The Accelerating Universe , which appeared in 2000, and The Golden Ratio reviewed in this issue of Plus . The former book discusses "beauty" as an essential ingredient in fundamental theories of the universe. The latter discusses the amazing appearances of the peculiar number 1.618... in nature, the arts, and psychology. Here he gives us a taster. The origins of the divine proportion In the Elements , the most influential mathematics textbook ever written, Euclid of Alexandria (ca. 300 BC) defines a proportion derived from a division of a line into what he calls its "extreme and mean ratio." Euclid's 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.

65. Math Forum - Ask Dr. Math Archives: High School Fibonacci Sequence/Golden Ratio A list of questions gathered pertaining to Fibonacci and Golden Ratio. http://mathforum.org/library/drmath/sets/high_fibonacci-golden.html

Ask Dr. Math High School Archive Dr. Math Home Elementary Middle School High School ... Dr. Math FAQ TOPICS This page: Fibonacci sequence, golden ratio Search Dr. Math See also the Dr. Math FAQ golden ratio, Fibonacci sequence Internet Library golden ratio/ Fibonacci HIGH SCHOOL About Math Analysis Algebra basic algebra ... Trigonometry Browse High School Fibonacci Sequence/Golden Ratio Stars indicate particularly interesting answers or good places to begin browsing. Appearances of the Golden Number Why does the irrational number phi = (1 + sqrt(5))/2 appear in so many biological and non-biological applications? Calculating the Fibonacci Sequence Is there a formula to calculate the nth Fibonacci number? Congruum Problem I have found a reference to Fibonacci and his congruum problem. But something has me stumped... Fibonacci sequence in nature, Golden Mean, Golden Ratio I need examples of where the Fibonacci sequence is found in nature and how it relates to the Golden Mean. Fibonacci Series I was helping an Algebra student with a "bonus" problem recently. It asked something about drawing a spiral using the Fibonacci series. What is this series? Does it draw a spiral? Golden Ratio Do you have any topics that I can use in my term paper about the golden ratio?

66. Phi: 1.618. The Best Source To The Golden Section, Golden Mean, Divine Proportio Net exists to share information on the pervasive appearance of Phi, 1.618 , the Golden Ratio in life and the universe. Its goal is to present a broad http://www.goldennumber.net/

GoldenNumber.net Home Contact Meet the Phi Guy "Phriends" in Phi Site Search ... News Dedicated to providing you with the best information on The Golden Ratio, Section or Mean The Divine Proportion The Fibonacci Series and the golden number, Phi ( PhiMatrix Graphic Design Software for Windows and Mac Click twice on video to view Download free trial 20% off with code GN1618 Site Sections: Overview Design/Composition Life Mathematics ... Other Phi Resources Welcome to GoldenNumber.Net = The PhiSource.com GoldenNumber.Net exists to share information on the pervasive appearance of Phi, 1.618 ... , the Golden Ratio in life and the universe. Its goal is to present a broad sampling of phi related topics in an engaging and easy-to-understand format and to provide an online community , in which new findings about Phi can be shared. Select an area of interest below or START HERE . Enjoy the 'phi nomenon'! SITE CONTENTS Overview Design/Composition Life Mathematics ... Phi to 20,000 places

67. Fibonacci Provides information on the mathematician, the history of the Fibonacci Sequence and its relationship to the Golden Ratio as well as an in-depth look at how it occurs in nature. http://www.fibonacci.name

68. The Golden Rectangle And The Golden Ratio Supposedly, Pythagoras discovered this ratio. And the ancient Greeks incorporated it into their art and architecture. Apparently, many ancient buildings (including the http://www.jimloy.com/geometry/golden.htm

Return to my Mathematics pages Go to my home page The Golden Rectangle and the Golden Ratio click here for the alternative Golden Rectangle and Golden Ratio page This diagram shows a golden rectangle (roughly). I have divided the rectangle into a square and a smaller rectangle. In a golden rectangle, the smaller rectangle is the same shape as the larger rectangle, in other words, their sides are proportional. In further words, the two rectangles are similar. This can be used as the definition of a golden rectangle. The proportions give us: a/b = (a+b)/a This fraction, (a+b)/a, is called the golden ratio (or golden section or golden mean). Above I have defined the golden rectangle, and then said what the golden ratio is, in terms of the rectangle. Alternatively, I could have defined the golden ratio, using the above equation. And then a golden rectangle becomes any rectangle that exhibits this ratio. From our equation, we see that the ratio a/b=1/2+sqr(5)/2 -1/2+sqr(5)/2 or 0.61803398875 . . .) is called the golden ratio. Also, other mathematical quantities are called phi. The golden ratio is also called tau. Some people call the bigger one (1.61803398875 . . .) Phi (an uppercase phi) and the smaller one (0.61803398875 . . .) phi. By the way, a more accurage value is 1.6180339887498948482045868343656 . . .

69. Division In Mean And Extreme Ratio The base angle of the largest triangles of most representations of Sri Yantra are about 52 degrees, close to the base angle of the Great Pyramid of Cheops, which is 51deg50 . With such a base angle, the ratio of the hypotenuse to half the base is phi, the Golden Ratio. http://alumni.cse.ucsc.edu/~mikel/sriyantra/golden.html

Division in Mean and Extreme Ratio The base angle of the largest trinalges of most representations of Sri Yantra are about 52 degrees, close to the base angle of the Great Pyrmaid of Cheops , which is 51deg50'. With such a base angle, the ratio of the hypotenuse to half the base is phi, the Golden Ratio The design was investigated with the largest two triangles having this base angle. The construction continues similar to the 7x7 grid method. The result is striking, for apart from the fact that the error (at Z and W) is not noticeable, the overall shape is very simlar to examples from the literature . The error is only .3616% of length of the diameter. A small change in base angle results in large error - a 53 degree angle has an error of 9.125%! 1. Draw a rectangle of 2 x 1 units (ABCD) for construction of the large pyramid- angled triangles on base DC. The centre of DC is E. 2. Draw the diaganol DB. It's length is sqr-root 5, by Pythagoras. 3. Draw a circle of radius one centered at point B. Extend the diagonal. 4. Bisect the extended diaganol, creating two line segments of length sqr-root 5 plus 1, divided by 2. This length is phi!

70. Golden Ratio Organics - Lifestyle Workshops And Sustainable Creations Golden Ratio has developed a variety of lifestyle workshops and sustainable creations to augment everyday life. We accentuate educational possibilities for both humans and http://goldenratioorganics.com/

Golden Ratio has developed a variety of lifestyle workshops and sustainable creations to augment everyday life. We accentuate educational possibilities for both humans and animals through workshops, individual training sessions and products. Golden Ratio workshops include Raw Vegan Nutrition, Aromatherapy, Reiki, Healing Essences and Animal Communication. Many of our lifestyle workshops allow for your individual creation incorporated into the learning format. Our workshops are based on the concept of community and how the learning experience is a way to share your individuality with others. Our classes and products have been developed to support body, mind and the environment. Golden Ratio is a company bringing together a community of resources and organic products that will nourish and sustain healthy living. Details about classes being offered online in June 2010 Specialty Products Available Individualized Training Receive great information on living a healthy and sustainable life. Golden Ratio cheryl@goldenratioorganics.com

71. Sacred Geometry For Fun And Personal Growth, Including Pythagoras, Phi And The G A summary of sacred geometry, covering Pythagoras, the Golden Ratio, cymatics and creation through sound, plus a practical geometry workshop, geometric graphics, and a meditation for higher consciousness. http://geometry.wholesomebalance.com

Sacred Geometry Home Sacred Geometry Page 2 Geometry Workshop Geometry Quotes Geometric Graphics ... Links Sacred Geometry for Fun and Personal Growth. Sacred geometry is a vast and exciting subject. This website will give you a good summary, with some practical exercises and tools to get started, plus further resources to guide you onward. To start with, mathematics is a wonderful clean subject. It is not subject to opinion, nor does it rely on heated debates as to what the correct answer is. And geometry specifically is pure beauty! It is a great synthesizer, merging the linear, rational aspect of math through the left-side of the brain with the graphical, artistic aspect of pattern and beauty through the right brain. It unites the mind and the heart (called the "intelligence of the heart" by the ancient Egyptians), spirit and matter, science and spirituality. These are all apparently separate halves of the Whole. Plato said in the Republic (VII, 527 d, e) that it is through geometry that one purifies the eye of the soul, "since it is by it alone that we contemplate the truth." Mother nature uses geometry everywhere you look, from the spirals of the nautilus shell, sunflower centre and spiral galaxies to the hexagon symmetry of snowflakes, flower petals and honeycomb. Geometry in nature arranges the shapes of the molecules and crystals that make up our bodies and the physical cosmos. It is the key to the creation of the universe. A good primer on this subject is Michael Schneiders interesting book

72. Illuminations Golden Ratio Students explore the Fibonacci sequence, examine how the ratio of two consecutive Fibonnacci numbers creates the Golden Ratio, and identify reallife examples of the Golden Ratio. http://illuminations.nctm.org/LessonDetail.aspx?id=L658

73. Sacred Geometry Jewelry And Healing Tools By Gretchen McPherson Jewelry and power objects based on Platonic solids, Archimedean solids, and the golden ratio. Necklaces, pendants, earrings, altar pieces by artist Gretchen McPherson. http://www.lotuslazuli.com/

lotus lazuli is a collection of sacred geometry jewelry and power objects handcrafted by jewelry artist, gretchen mcpherson The Platonic solids tetrahedron, octahedron, cube, icosahedron and dodecahedron , as well as Archimedian solids, the Merkaba, Flower of Life, fibonacci sequence, phi spiral and golden ratio are the major motifs employed. A 3-dimensional labyrinth is created within each shape, directing the energy flow of carefully chosen semi-precious and precious stones held inside its net. Math, spirituality and beauty meet in these unique necklaces pendants bracelets earrings and altar pieces.

74. Golden Ratio - Spa And Salon Tables For Day Spa, Salon And Alternative Health Ca The finest tables in the industry for salons and spas and all types of bodyworkby Golden Ratio Woodworks. http://www.goldenratio.com/GRW/Spa/

Search our catalog or try our: Advanced Search WHAT'S NEW EMPRESS Versatile client positioning. The foot section lowers for a roll-up foot spa. Tilts up for inversion therapy. Perfect for facials, pedicures and massage. VERONA TILT Offer your clients the health benefits of incline positioning! Raise the head or feet to new levels. GRAND VERSAILLES Maximize your income! Want a free catalog? 7 Reasons Why It Makes Sense To Buy A Golden Ratio Table You Deserve the Best! Spa Tables More customization than anyone! Complement your decor with over 300 new vinyl, metal and wood color combinations! Fully automated multi-treatment table with hygienic radiant-heated foot spa. $5195 / $5395 Package No electricity needed. Affordable multi-treatment pedicure table. $3195 / $3395 Package All electric, plush multi-treatment table. $3795 / $3995 Package Affordable luxury. Gas-spring Adjustments. Hydraulic or Electric lift. $2795 / $2995 Package Multipurpose Electric-Lift Table with full-length cabinet and foot spa.

75. The New Temple A blueprint for a temple designed according to the Golden Ratio and Sacred Geometric principles. http://www.akhetaten.com/

Akhetaten The Project of the New Temple Having cleared away the various masks placed upon It over the ages and throughout the cultures of the world, the Temple honors the Universal Reality in Its elemental state, and thereby welcomes all visitors, regardless of their spiritual affiliation. Visiting the Temple and experiencing its physical immensity will inspire all who long for solace and unity in today’s troubled, divided world. The New Temple The Temple View my YouTube videos

76. Golden Ratio Design Local doctor designs medical database applications for the Palm, as well as providing other Web design services. Includes samples of sites and PERL scripts, links, and news on spring peepers. http://www.tonywitte.com/

Web and Palm OS Applications for Health Care and School Policy LMRP Tool The Golden Ratio or Golden Mean is a number revered since antiquity that appears with suprising frequency in natural designs and great works of art. At Golden Ratio Design we believe well-designed computer applications and web tools are recognizable for their simplicity and elegance. We bring this concept to web-based and Palm OS applications for health care clinical desion making and productivity, and to school policy publishing. Public school board policies are open documents, and the Web has allowed many schools to make their policies readily available to thier constituencies. Using Open Source technologies our Online Policy Manual provides an easy to use and easy to maintain method to publish and update policies. The Palm OS is the dominant operating system for handheld computing, and for good reasons: simplicity, utility, dependability and a wide range of available software. As a physician dealing with volumes of critical information on a regular basis, the value of handheld computing has been very apparent to me. I have created a few applications for the Palm OS of use to the medical community, and am at work on other applications placing needed databases literally in the palm of the clinician's hand. LabCode NCD - Medical Necessity coding tool using latest Medicare medical necessity requirements included in the 23 lab test National Coverage Decisions.

77. Gluten Free Gourmet Cakes Gallery of artwork featured and offers custom ordered Golden Ratios, Fish Prints, Raku, Porcelain pottery and commissioned artwork. http://www.motherdaughterartists.com

Autistic Bread, Vegan Bread, Diabetic Bread, Gluten Free Bread, Lassens Health Food Store, Gluten Free Cupcakes, Gluten Free German Chocolate Cake, Gluten Free Raspberry Tort, Gluten Free Carrot Cake, Gluten Free California Coconut Cream Cake and Gluten Free Chocolate Brownie Cake, Gluten Free wedding cakes, Gluten Free cupcakes, Art Collectors, Art Collections, Celiac Disease, Collecting Art, Watercolor, strawberry, love, milkshake, Samuel Clements, awards, paintings, Raku, Africa, three, hilarious, high, horses, stuckup, moo, cow, art, limited edition, bananas, ratio, golden, Angels Camp California, fish prints, faces, 24 hours, fast, carousel, tiger, watch batteries, State Fair, frog jump, rectangle, Egyptians, Greek, Mayans, Grandparents, Genealogy, exhibits, circles, beans, tomatoes, sauce, Gamboge, dots gluten-free gourmet cakes, celiac disease, gluten intolerance, Kandinsky,frogs,cows,Raku,watercolor,Africa,circles,snake,faces, pitfire,tortoises,lamps,masks,fishprints,fish,prints, Enter Key Words here that will help search engines guide viewers to your site. Use several variations of each word to get maximum exposure. Use as many key words as you like. Don't use line breaks or paragraphs to separate Key Words.

78. Math Tattoos | The Loom | Discover Magazine May 23, 2008 So, , the golden ratio (an honest to goodness irrational number that s equal to 1.618…) appears all over the place and is considered to be http://blogs.discovermagazine.com/loom/tag/math-tattoos/

79. Theory Of Music-Golden Section File Format PDF/Adobe Acrobat Quick View http://www.jonathandimond.com/tafe/documents/Intro to Golden Section.pdf

80. Golden Ratio What does it mean to be Golden Welcome to the wonderful world where everything is Golden!! presented to you by Pete http://www.math.uiuc.edu/~gfrancis/math306/math306web/GoldenRatioPeteWintermute.

What does it mean to be Golden Welcome to the wonderful world where everything is Golden!! presented to you by Pete Welcome! I am currently enrolled in a college course at the University of Illinois called The History of the Calculus and I thought for one of my course projects it would be very helpful for my fellow scholars to have a webpage that would help explain what it means to be "Golden" (that is in the mathematical sense). The topic of Golden is one of the more exciting topics in mathematics and one people should be familiar with. The goal of this annotated webpage is to list some very helpful websites that will give an overview of Golden with examples and some sites that contain some superb activities and lesson plans involving the concept of Golden for teachers. A quick description of the Golden Ratio: The Golden Ratio is often represented by Phi. Its approximate value it 1.61803... but more accurately is represented by (sqrt.of 5 + 1) / 2. As you notice Phi is an irrational number and has some very interesting properties and is often seen in the real world. To find out more about Phi please look at some of the intriguing webpages below. Links on the Golden Ratio: Fibonacci Numbers and the Golden Section - by Dr. Ron Knott. This is a very detailed webpage with a lot of information on the Golden section and Fibonacci Sequence but on numerous pages. Be ready to maneuver yourself through this page to find what you are looking for, but don't worry it is probably there. There is an overview on what Golden is; there are examples of the Golden section in nature, art, architecture, and music; Golden section occurring in Geometry and Trigonometry; constructions; you name it.

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