41. Golden Mean The golden mean or Phi Spiral geometry is the optimized path which allowswaves/frequencies to add and multiply without interference. http://www.bodyvibes.com/mean.htm

(Below) The PHI RATIOS (Fibonacci Numbers) Geometric relationship within the Rectangle as related to the innate recursive SPIRAL which abounds in NATURE. This is clearly a natural evolution of General Systems Theory. The Golden Mean or Phi Spiral Geometry is the optimized path which allows waves/frequencies to add and multiply without interference. It creates the only wave/inertia form which is truly recursive. This Geometric Spiral became the basis for DNA, The Earth Grid, and the 12 Faced Zodiac. Embeddedness takes phase coherence to the infinite. This permits a wavefront information "cascade" to transcend the spatial limits between Macro and Microcosmic Systems. Another way to understand this is the principle for what permits a standing waveform to become a hologram. The moment when enough coherence is reached, a harmonic series of wave fronts is present at each node. This "multiple connectedness" which defines holography is only possible when each wave node becomes an attractor through Sympathetic Resonance. (Above) A PHI multiple of this PERFECT DAMPING PATH to the STILLPOINT.

42. Links: Golden Mean In Web Design And Color Psychology In Web Site Design. Sacred geometry The golden mean Spiral is the ideal and correlatesto Source. It is the symbol of life’s unfolding mysteries. http://www.saunalahti.fi/jawap/link/goldenmean.html

Principles of Web Design : Golden Mean design Table width=700 height=433 BLUE : RED : IMAGE : GOLDEN MEAN The Golden Mean is considered to be the most aesthetic and pleasant division of line and space. In mathematical terms, the Golden Mean is a ratio of the number 1.618*size or size*0.618. Artists and Architects are using the proportions of the golden mean. links: Golden Mean design. Design and Proportion - The 'Golden Mean' Designing your painting using the 'Goldern Mean' Fibonacci Numbers and The Golden Section in Art, Architecture and Music Fibonacci, golden section, golden mean, golden ratio, divine proportion, Phi, golden rectangle, Leonardo da Vinci, poetry, symmetry, patterns, Stradiviari, violin design, Mozart, Beethoven, Bartok, Debussy, Satie, Schubert, Bach, art, architecture, music, geometry, design, structure, beauty, recreational maths, combinatorics, number theory, discrete mathematics The Archdome - Golden Mean Design Golden Mean - The Archdome enfolds the golden spiral (also known as the Fibonacci spiral). Scientists have studied the dome and have come to a number of conclusions about the energy patterns it creates Golden Mean Home Page The Golden Mean Group provides Architectural Design, Strategic Planning, and Facility Consulting services to private, commercial, and institutional clients throughout the United States.

43. Golden Mean is interesting. It was discovered by Gabriel Bosia. Find out more aboutconstructions for the golden mean. geometry. I am interested http://www.math.uwaterloo.ca/~ljdickey/geometry_corner/golden_mean/

The Golden Mean The Golden Mean (or golden ratio ) is a famous number that has been know from ancient times. For example some ancient buildings were built with this ratio used for its proportions. Here is an algebraic conditions that defines the golden ratio. It is positive and subtracting 1 from it gives a number that equals its reciprocal. So, it satisfies the equation x-1 = 1/x. It is not hard to show that the golden mean is one half of the sum of one and the square root of 5. Since the square root of 5 is about 2.236, and one plus the square root of 5 is 3.236, the golden ratio is approximately 1.618. The geometric construction that I have seen most often golden ratio uses a square A, B, C, D. Find the midpoint of the side AB and call it M. Make the circle with center M that passes through C (and D). Let E be the point where this circle meets the ray AB. Then the ratio AE / AB equals the ratio AB / BE. It is easy from this that that AE/AB is the golden ratio. Click here to see a picture (coming soon). A recent and surprising construction is one given by George Odom . George constructs an equilateral triangle ABC with vertices on a circle. Let M be the midpoint of AB and N be the midpoint of AC. Then the ray MN meets the circle at a point P. The ratio MP/MN is the golden ratio. Click here to see a picture (coming soon). Another pleasant surprise construction is given by Gabriel Bosia . Gabriel starts with the famous pythagorean triangle with sides 3, 4, and 5. Construct the circle of diameter 5 with center at the midpoint of the hypotenuse.

44. Geometry In Art & Architecture Unit 2 geometry has two great treasures one is the theorem of Pythagoras, the other thedivision of a line into mean and extreme ratios, that is , the golden mean. http://www.dartmouth.edu/~matc/math5.geometry/unit2/unit2.html

Description and Requirements The Book Bibliography Syllabus ... Introduction The Great Pyramid Music of the Spheres Number Symbolism Polygons and Tilings The Platonic Solids ... Early Twentieth Century Art The Geometric Art of M.C. Escher Later Twentieth Century Geometry Art Art and the Computer Squaring the Circle in the Great Pyramid "Twenty years were spent in erecting the pyramid itself: of this, which is square, each face is eight plethra, and the height is the same; it is composed of polished stones, and jointed with the greatest exactness; none of the stones are less than thirty feet." -Heroditus, Chap. II, para. 124. Slide 2-1: The Giza Pyramids and Sphinx as depicted in 1610, showing European travelers Tompkins, Peter. Secrets of the Great Pyramid. NY: Harper, 1971. p. 22 Outline: The Great Pyramid The Golden Ratio Egyptian Triangle Squaring the Circle ... Reading The Great Pyramid Slide 2-2: The Great Pyramid of Cheops Tompkins, Peter. Secrets of the Great Pyramid. NY: Harper, 1971. p. 205 We start our task of showing the connections between geometry, art, and architecture with what appears to be an obvious example; the pyramids, works of architecture that are also basic geometric figures.

45. Storm's Nest - The Golden Logos The golden mean rectangle may be increased or decreased by the additionof a square, which is symbolic in sacred geometry of the creation. http://home.earthlink.net/~johnrpenner/Articles/GoldenLogos.html

"To see the world in a grain of sand, and heaven in a wildflower. (William Blake) The Golden Section "I came across a defintion of the Golden Mean which states that it is the unity that includes both what is perceived as well as the perceiver." "There are two ways [and the Golden Proportion is the only number for which this is true] mathematically, by which you can place the Golden Mean between those two points. The lesser in relation the the greater in the Golden Mean can signify that the outer is the greater and the inner is the lesser, or it can signify that the inner is the greater and the outer is the lesser. But the 'mean' is a flucutation in between those two things." So the Yin and the Yang are as the proportions of the Golden mean unto each other, and thus chase each other dynamically in asymetrical equilibrium. (Ibid. p.30-31, The Golden Proportion: A Conversation between Richard Temple and Keith Critchlow). Extra Links: Astrid Fitzgerald The Golden Proportion in Your Hand Mathsoft - Mathematics of Constants Golden Links ... BACK TO STORM'S JOURNAL to submit your article, send eMail to: johnrpenner@earthlink.net

46. The Fibonacci Sequence And The Golden Mean fibo.htm) and the golden rectangle and golden ratio (http//www.jimloy.com/geometry/golden.htm).Dr. Math on Fibonacci numbers and the golden mean http//forum http://www.ualr.edu/~lasmoller/fibonacci.html

Did you know . . .? The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 . . .) occurs throughout the worlds of nature, art, music, and mathematics! Each term in the series is produced by adding together the two previous terms, so that 1 + 1=2, 1 + 2=3, 2 + 3=5, and so on. The sequence takes its name from a famous thirteenth-century European mathematician, Leonard of Pisa (?1170-1250), also called Fibonacci. Fibonacci was one of the first Europeans to use Arabic numbers, whose use he explained in his 1202 Liber abaci. (Image source: http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Fibonacci.html Fibonacci gave this sequence as an answer to the following mathematical puzzle: A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive? The answer is the sequence 1, 1, 2, 3, 5, 8, 13, 21, . . ., as illustrated below: (Image source: http://www.jimloy.com/algebra/fibo.htm

47. For Bob And All Teachers And Students Of Sacred Geometry a right to say that one and a half turns of the golden mean or the We are obviouslytalking about Sculptured Jewelry Artwork and not Sacred geometry or math http://www.sangraal.com/Discussion/00000028.htm

San Graal School of Sacred Geometry News Research and Discussion Page Home Contents Search Post ... Previous Up For Bob and All Teachers and Students of Sacred Geometry From: Ray Flowers Date: 14 Jul 2001 Time: Remote Name: Comments Hi Bob, I am assuming that the Bob posting information about Mr. Tenen is of course Bob Dratch, who is apparently part of the Meru Foundation's Advisors and has at times, spoken in Mr. Tenen's behalf. I am asking this of you because you have made it your business to contribute, and it seems that you want to share. If you are not Bob Dratch, please accept my apologies, and I then direct this post to all the math and Sacred Geometry teachers who might contribute their great wisdom to our conversation and to all students of Sacred Geometry who might ask questions and share what they have learned. It is my anticipation that cool heads with good information can teach us more than we know. There are several follow-up facts that have questions for which I can find no answers. I receive many post from readers that do not understand. It is certainly not my quest to belittle anyone, but there are questions, which, if answered, could create an understanding for everyone. The questions below reflect many of the comments that I have received from folks who truly want to understand but seem afraid to ask because of fear of lawsuit. The purpose of this post is intended to ask pertinent questions for the readers of the San Graal website, and not to condemn the situation in any way.

48. The Geometry Junkyard: Pentagonal Geometry And The Golden Ratio Penrose tilings and the golden mean, K. Wiedman. Perplexing pentagons,Doris Schattschneider, from the Discovering geometry Newsletter. http://www.ics.uci.edu/~eppstein/junkyard/pent.html

Pentagonal Geometry and the Golden Ratio This page includes geometric problems defined on regular pentagons, involving pentagonal angles, or based on the golden ratio (the ratio of diagonal to side length in a regular pentagon). A Brunnian link . Cutting any one of five links allows the remaining four to be disconnected from each other, so this is in some sense a generalization of the Borromean rings. However since each pair of links crosses four times, it can't be drawn with circles. Constructing a regular pentagon inscribed in a circle, by straightedge and compass. Scott Brodie. Also described by M. Gallant Cut-the-knot logo . With a proof of the origami-folklore that this folded-flat overhand knot forms a regular pentagon. Digital Diffraction , B. Hayes, Amer. Scientist 84(3), May-June 1996. What does the Fourier transform of a geometric figure such as a regular pentagon look like? The answer can reveal symmetries of interest to crystallographers. The downstairs half bath . Bob Jenkins decorated his bathroom with ceramic and painted pentagonal tiles. Equilateral pentagons . Jorge Luis Mireles Jasso investigates these polygons and dissects various polyominos into them. Equilateral pentagons that tile the plane , Livio Zucca.

49. The Geometry Junkyard: Penrose Tiling The geometry Center s collection includes programs for generating Penrose tilings Thepenrose tile and the golden mean towards hyperdimensional intergeometry. http://www.ics.uci.edu/~eppstein/junkyard/penrose.html

Penrose Tiles Penrose was not the first to discover aperiodic tilings , but his is probably the most well-known. In its simplest form, it consists of 54- and 72-degree rhombi, with "matching rules" forcing the rhombi to line up against each other only in certain patterns. It can also be formed by tiles in the shape of "kites" and "darts" or even by deformed chickens (see the "perplexing poultry" entry below). Part of the interest in this tiling stems from the fact that it has a five-fold symmetry impossible in periodic crystals, and has been used to explain the structure of certain "quasicrystal" substances. Aperiodic tiling and Penrose tiles , Steve Edwards. The Art and Science of Tiling . Penrose tiles at Carleton College. Duane Bailey's color postscript Penrose tiler Cellular automaton run on Penrose tiles , D. Griffeath. See also Eric Weeks' page on cellular automata over quasicrystals Clusters and decagons , new rules for using overlapping shapes to construct Penrose tilings. Ivars Peterson, Science News, Oct. 1996. Dr. Matrix' programming challenge

50. BuildPhiSpiral A Geometric Construction of the golden mean Spiral First we will showhow to generate a golden mean Spiral geometrically. This is http://kjmaclean.com/Geometry/BuildPhiSpiral.html

A Geometric Construction of the Golden Mean Spiral First we will show how to generate a Golden Mean Spiral geometrically. This is not the only way it can be done, but it is an understandable way. It is also elegant, as the whole thing begins with a line AB of any length: Let's assume that the length of line AB is Unity, or 1. Now, bisect the line AB and transfer that distance to BC: BC is one-half AB, and is perpendicular to AB. Connect A to C with the straight-edge. Pin the compass at C and place the marking leg at B. Draw an arc to intersect AC at D. Now CD = CB. Now pin the compass at A and place the marking leg at D. Draw an arc to intersect the line AB at E. Now AE = AD. The line AB has now been divided in Mean and Extreme Ratio at E: The point of drawing this triangle is to construct a golden mean rectangle. From the golden mean rectangle we shall build the golden mean spiral. It's pretty cool the way it works out. Refer to the next drawing below: With the straight-edge, extend the line CB. Now, pin the compass at C and place the marking leg at A. Draw an arc to G and extend line CB to intersect the extended line CB, at G.

51. Guillaume Morel :: The Golden Number Presentation The golden mean, or golden Ratio, or golden Number is can find thevalue of the golden Number with of In both Arithmetics geometry, has many http://www.guillaumemorel.com/en-gold.htm

Agent Author Consultant Manager ... Webmaster Golden Mean Keys: golden mean, 1.618, divine, proportion, ratio, mathematics, paintings, aesthetics, harmony Presentation: The Golden Mean, or Golden Ratio, or Golden Number is one of these mysterious irrational numbers, like e or (Pi). It is often called or (Phi). My research: The value of The positive result of the equation "X²=X+1" gives value: NB: you can find the value of the Golden Number with 2000 places here is also the limit of the ratio of Fibonacci series numbers: Lim [n ] ( U[n+1]/U[n]) = where U is defined as follow: Fibonacci serie U[n+2]=U[n+1]+U[n] U[0] = 0, U[n]=1 U[n] values are: 0, 1 , 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc. Mathematical properties of has many properties that we cannot develop here. The basic knowledge to keep in mind with the Golden Number is: and ' are very close as far as their decimal part is identical and they have the following properties: '=-1 and Geometrically, is defined as follow: Euclide (~300BC) called this geometrical drawing "to divide a line in mean & extreme ratio"

52. Juice ruby writes The golden mean (aka golden Ratio, golden Spiral, golden Section), represented aNautilus shell or the unique hexagonal geometry of snowflakes http://juice.box.sk/newsread.php?newsid=27

53. The 'Golden Mean' In Number Theory are given by suitable pinary (pinary, p prime) powers of the golden mean. crystalswith padic internal symmetries, von Neumann s Continuous geometry, the role http://www.maths.ex.ac.uk/~mwatkins/zeta/goldenmean.htm

The ' Golden Mean ' in number theory Planat, et. al. have subjected certain arithmetic functions to a type of analysis appropriate to signal processing and discovered a type of power law in the frequency spectrum possibly involving the Golden mean C. Castro, "Fractal strings as the basis of Cantorian-Fractal spacetime and the fine structure constant" [abstract:] "Beginning with the most general fractal strings/sprays construction recently expounded in the book by Lapidus and Frankenhuysen, it is shown how the complexified extension of El Naschie's Cantorian-Fractal spacetime model belongs to a very special class of families of fractal strings/sprays whose scaling ratios are given by suitable p inary ( p inary, p prime) powers of the Golden Mean. We then proceed to show why the logarithmic periodicity laws in Nature are direct physical consequences of the complex dimensions associated with these fractal strings/sprays. We proceed with a discussion on quasi-crystals with p -adic internal symmetries, von Neumann's Continuous Geometry, the role of wild topology in fractal strings/sprays, the Banach-Tarski paradox, tesselations of the hyperbolic plane, quark confinement and the Mersenne-prime hierarchy of bit-string physics in determining the fundamental physical constants in Nature." Castro's observation possibly linking the 'Golden String' to a function central to the behaviour of certain eigenvalues in random matrix theory (which in turn appears to be deeply linked to the behaviour of the nontrivial zeros of the Riemann zeta function).

54. Golden Ratio - InformationBlast The golden ratio has interesting properties when used as the base of a numeralsystem see golden mean base. geometry has two great treasures one is the http://www.informationblast.com/Golden_mean.html

Golden ratio The golden ratio proportio divina or sectio aurea ), also called the golden mean golden section golden number or divine proportion , usually denoted by the Greek letter phi , is the number It is the unique positive real number with and the equally interesting property Two quantities are said to be in the golden ratio , if "the whole is to the larger as the larger is to the smaller", i.e. if Equivalently, they are in the golden ratio if the ratio of the larger one to the smaller one equals the ratio of the smaller one to their difference: After simple algebraic manipulations (multiply the first equation with a b or the second equation with ( a b b ), both of these equations are seen to be equivalent to and hence The fact that a length is divided into two parts of lengths a and b which stand in the golden ratio is also (in older texts) expressed as "the length is cut in extreme and mean ratio". Mathematical uses Geometry has two great treasures: one is the Theorem of Pythagoras ; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold ; the second we may name a precious jewel."

55. Design And Proportion - The 'Golden Mean' I see no particular theological significance in the golden mean, nor doI slavishly design my paintings or canvases to follow its geometry. http://www.geocities.com/~jlhagan/lessons/design2.htm

DESIGN 2 THE GOLDEN MEAN or GOLDEN SECTION The 'Golden Mean' is merely a mathematical ratio usually discerned by the painter as the ratio of the larger side of a rectangle as it relates to the shorter. Derived by the ancient Greeks it can be constructed geometrically or expressed as a simple ratio, namely 1:1618... Like "pi", the number 1.618... is an irrational number. Both the ancient Greeks and the ancient Egyptians used the Golden Mean when designing their buildings and monuments. The builders of Paestum used the Golden Mean in their temples. Artists as diverse as Leonardo da Vinci and George Seurat used the ratio when constructing their paintings. In classical architecture it was thought this particular ratio was the most pleasing to the eye and its extrapolation into a spiral could be found replicated in nature in such diverse things as pine cones and sea shells or the curve of a fern. I see no particular theological significance in the golden mean, nor do I slavishly design my paintings or canvases to follow its geometry. Well that noted then how is this 'golden mean' found using a ruler and a compass?

56. WebQuest Project, Geometry , Edition, Mathematics, Glencoe To find the golden ratio, write a proportion such that the longer of the two segmentsis the geometric mean between the shorter segment and the entire segment. http://www.glencoe.com/sec/math/geometry/geo/geo_04/webquest/unit2.php/na/

Unit 2 WebQuest Project Who is behind this geometry idea anyway? Introduction Task Process Guidance ... Questions Introduction Have you ever wondered who first developed some of the ideas you are learning in your geometry class? Today, many students use the Internet for learning and research. In this project, you will be using the Internet to research a topic in geometry. You will then prepare a portfolio or poster to display your findings. The Task Your school is having a Mathematics Appreciation Day. One event for the day is a competition for the best research project on a mathematical topic. Since you are currently studying geometry, your teacher wants each student in your class to research a topic in geometry. She wants the topic to be related to Unit 2 in your textbook. You will need to prepare a portfolio or poster to display the results of your research. If you prefer, you can prepare a Web page with this information that others can view. Be sure that your portfolio or Web page contains the following information: a description of the geometry topic you are researching, for example, the Pythagorean Theorem or fractals;

57. Sacred Geometry The golden mean Spiral is the ideal and correlates to Source. of the inner ear, revealthe intimate relationship between the harmonics of sound and geometry. http://www.spiraloflight.com/sacred_geometry.htm

lightSource A Sacred Geometry Experience Sacred Geometry is the blueprint of Creation and the genesis of all form. It is an ancient science that explores and explains the energy patterns that create and unify all things and reveals the precise way that the energy of Creation organizes itself. On every scale, every natural pattern of growth or movement conforms inevitably to one or more geometric shapes. As you enter the world of Sacred Geometry you begin to see as never before the wonderfully patterned beauty of Creation. The molecules of our DNA, the cornea of our eye, snow flakes, pine cones, flower petals, diamond crystals, the branching of trees, a nautilus shell, the star we spin around, the galaxy we spiral within, the air we breathe, and all life forms as we know them emerge out of timeless geometric codes. Viewing and contemplating these codes allow us to gaze directly at the lines on the face of deep wisdom and offers up a glimpse into the inner workings of the Universal Mind and the Universe itself. The ancients believed that the experience of Sacred Geometry was essential to the education of the soul. They knew that these patterns and codes were symbolic of our own inner realm and the subtle structure of awareness. To them the “sacred” had particular significance involving consciousness and the profound mystery of awareness  the ultimate sacred wonder. Sacred Geometry takes on another whole level of significance when grounded in the experience of

58. On Geometry And Advanced Energy Conversion This true golden mean Spiral has very little in common with the former oneabove. However, this spiral does look a lot like the one in the geometry of http://www.padrak.com/ine/ONGEOMETRY.html

Return to the INE Main Page On Geometry and Advanced Energy Conversion Patrick Bailey, INE President March 1996 There are quite a few areas in which the idea of the use of a particular geometry has overlapped with the advanced energy areas. Here is a summary of what I can remember off of the top of my head: 1. The Great Pyramid of Giza, Egypt, was built about the same time as the Sphinx, and I think it was definitely built way, way before the other structures there. It has a full base to height ratio of 2 to SQRT(Phi), where Phi is the Golden Ratio and is equal to (1+SQRT(5))/2. That gives an internal triangle with sides of 1-to-SQRT(Phi)-to-Phi. Several experimenters have noticed that four-sided pyramids build with this ratio exhibit strange properties when a base is aligned perpendicular to local magnetic north. I have not seen many papers on exact EM experimental results of the effects of this geometry, and perhaps we should! This would be a great idea for elementary and high school science projects! I also note that when a pyramid of this exact shape is cut along the base and along the edges and unfolded, one gets the Templar Cross. Coincidence?

59. Spiritual Structure Traditional Sacred geometry. The Fibonacci series can be used to defineboth the golden mean and Pi, the two main irrational numbers. http://www.dimensional.com/~ahm/matrix/SpSt/geometry.htm

Human Spiritual Structure: Sacred Geometry Notes from Nothing: This is supposed to be the basic geometry of the universe, the underlying patterns of all existance. The following derivation is said to parallel the creation of the world given in Genesis. First there is the void. Then spirit reaches out in six directions, up, down, back, forth, right and left, creating three axis' which allows measurement and movement. Filling out the axis's results first in a square and then in an octogaon, two base to base pyramids. (In planar figure this also gives the hexagon, and by reprojecting into 3 dimensions the cube.) Straight lines are male, curves female, so spining the octagon to create a sphere generates female from male. Spirit moved to the surface of the sphere and then began to make more spheres. In planar form six more can fit around the circle (Spirit rested on the seventh day). In space perhaps there are also six, one centered out each axis? These are all interlocking, i.e. the center of each is on the circumferance of the others. By rotation this generates a tube torus? which appears to be a torus with a zero inner radius, e.g. a donut without a hole. This is used to generate a figure inside a tetrahedron which in turn generates the various Hebrew letters, by projection back to a plane. [Stan Tenen]. The Greek and Arabic letters can also be formed by a similar process.

60. Art History Glossary - G - Golden Ratio is a common theme in sacred geometry worldwide. Pronunciation goal·den ray·show.Also Known As golden section, golden proportion, golden mean, phi ratio http://arthistory.about.com/cs/glossaries/g/g_golden_ratio.htm

zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About Homework Help Art History Home ... The Art History Forum zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Famous Names in Art Timelines of Art History Movements and Schools Different Types of Art ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Stay Current Subscribe to the About Art History newsletter. Search Art History Email to a friend Print this page Stay Current Subscribe to the About Art History newsletter. Elsewhere on the Web Golden Section in Art and Architecture Sacred Geometry Most Popular Leonardo da Vinci - The Last Supper Is that a man or a woman in the Last Supper? Are you saying Leonardo was gay? About Art History: Artist Profiles Index ... Art History 101 - Op Art What's Hot Peter Paul Rubens Art History 101 - Op Art Art History 101 - Performance Art The Northern Renaissance during the 15th century ... Artist Profiles - Names beginning with "D" Glossary From Shelley Esaak Your Guide to Art History Sign up for my Newsletter Definition: noun Golden Ratio is a term (with an astounding number of aliases) used to describe aesthetically pleasing proportioning within a piece. (There is, in fact, a mathematical formula with which one can calculate Golden Ratio. Please see the links at right for information on such, from those who are less right-brained than your Guide.)

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