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| | Excerpts from The Golden Mean Book and Calipher Set |
 | | The Golden Mean (in the form of a spiral nautilus shell) can act as a symbol of the spiritual renaissance art movement because it simultaneously expresses the value of universal unity and the goal of a new culture based on beauty, truth and goodness. | | | Working with the Golden Mean is an ancient form of spiritual practice. | | | This book describes the profound spiritual significance of the Golden Mean as well as the myriad ways it appears in the natural universe and in human culture. |
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http://www.heall.com/products/nowandzen/goldmeannbookexcerpts.html
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| | Storm's Nest - The Golden Logos |
| | You have to have two extremes for there to be a mean, but the mean unifies those two and, as you were saying to yourself, the whole point about the Trinity is the quality of threeness which is in itself a single thing. | | | A Conversation between Richard Temple and Keith Critchlow ----- RT: I have been trying to understand how, in its absolute essence, the Golden Mean is the Trinity, the division of unity within itself into two and expressed in completion as three, yet ever remaining unity. | | | Asymetric Proportionality --- The proportionality sought by Buddhist and Christian adepts is thus always asymetrical, tending at one time or another towards one component or another of the human whole. |
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http://home.earthlink.net/~johnrpenner/Articles/GoldenLogos.html
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| | Golden Mean |
| | The Golden Mean can be determined via geometry by taking a square with all sides equal to 1, drawing an arc with the center of radius at the midpoint of one side and through the corner of an opposite side, and extending the original side to where it intersects the arc. | | | We might also mention in passing that the connection of the Golden Mean to the five-pointed star may be why the sacred practice of | | | There now seems to be a justifiable reason for our ancient ancestors having such a reverence toward the Golden Mean. |
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http://www.halexandria.org/dward101.htm
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| | Americans for a Free Republic |
| | The purpose here is to explain Aristotle's "doctrine of the mean" to the reader and how it can be used to judge the propriety of such things as political systems. | | | It is important to understand that this means genuine "constitutional" conservatives rather than today's "neo" conservatives. | | | Reality's Golden Mean puts forth a blueprint that should finally bring about this long awaited unification. |
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http://www.afr.org/Hultberg/073005.html
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| | Presentation Zen: From Wabi-Sabi to Golden Mean |
| | There are a lot of books which explore the Golden Mean and beyond. | | | There is some research recently which says people prefer TVs with aspect ratios approaching the golden mean as well. | | | We see strong golden section preferences in the natural world, of course. |
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http://presentationzen.blogs.com/presentationzen/2005/08/from_wabisabi_t.html
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| | CG: Sacred Geometry: Mandalas: The Golden Mean Rectangle and The Phi Ratio |
| | These brilliant mystical minds perceived the Golden Mean relationship and realized it was a repeating architectural formula of God the creator. | | | A number of the earlier masters were initiated to the inner-circles of several of the mystery schools. | | | C.G. "Not really, but numbers are part of a stream of thinking I want to share, and it seems appropriate for this, our eleventh conversation, our first master conversation. |
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http://www.charlesgilchrist.com/SGEO/Gal1101.html
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| | *Golden Mean* |
| | With these illustrations, using simple geometry of line and arc we are able to reveal the relationship inherent in natures harmonious order. | | | The construction is a network of scribed arcs and straight lines that resolve themselves in useful relationship. | | | Extend line AB, beyond B, until it meets the arc at point C creating line BC. |
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http://asis.com/asis/golden.html
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| | Golden ratio - Wikipedia, the free encyclopedia |
| | These beliefs include the mistaken idea that the purported aesthetic properties of the ratio was known in antiquity. | | | (phi, after Phidias, a sculptor who commonly employed it) or less commonly by τ (tau, the first letter of the ancient Greek root τ(ε/ο)μ– meaning cut). | | | This approach was used to arrange mirrors on the Starshine 3 satellite. |
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http://en.wikipedia.org/wiki/Golden_ratio
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| | Fibonacci Numbers and The Golden Section in Art, Architecture and Music |
| | icon means there is a Things to do investigation at the end of the section. | | | At worst, some people have tried to elevate the golden section beyond what we can verify scientifically. | | | In that same section I mention the London based group Perfect Fifth who have used it in a piece called Fibonacci that you can hear online too. |
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http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html
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| | Amazon.com: The Golden Mean Book & Caliper Set: Books: Steve McIntosh |
| | The Golden Mean is a special relationship between a part and a whole that acts as a formula for harmony and beauty. | | | Steve is also the author of: The Spiritual Practice of Beauty Video, The Golden Mean Book & Caliper Set, and Triad Cards: Navigation Tools for the Dimension of Meaning. | | | Prior to founding Now & Zen, Steve was an executive officer of Celestial Seasonings tea company. |
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http://www.amazon.com/exec/obidos/tg/detail/-/0964764539?v=glance
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| | Golden Mean at opensource encyclopedia |
| | This golden mean is an attribute of beauty. | | | This can be compared to one of the first examples of Greek temple building, the temple of Poseidon at Paestum, Italy as it is squat and unelegant. | | | Jacques Maritain in his Introduction to Philosophy uses the idea of the golden mean to place Aristotelian-Thomist Philosophy, throughout his book, between the deficiencies and extremes of other philosophers and systems. |
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http://www.wiki.tatet.com/Golden_Mean.html
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| | Spirals and Snails |
| | But it is true that according to the experts, their sound is not as beautiful as that of a Stradivarius... | | | The golden mean possesses the following unique and exceptional property. | | | Apparently, Stradivarius would have used the golden mean in the construction of his violins. |
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http://www.popmath.org.uk/rpamaths/rpampages/snail.html
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| | Guardian Unlimited Technology Technology 1.618 is the magic number |
| | Although Euclid defined it around 300 BC, and the followers of Pythagoras probably knew of it two centuries earlier, it was Pacioli's three-volume treatise, The Divine Proportion, that was crucial in disseminating the golden ratio beyond the world of mathematics. | | | Shakespeare said it all: "There are more things in heaven and earth..." | | | It was this elusive nature that led the 15th-century Italian friar and mathematician Luca Pacioli to equate the golden ratio with the incomprehensibility of God. |
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http://technology.guardian.co.uk/online/science/story/0,12450,875198,00.html
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| | Mathcad Library |
| | The first of these we call the Golden mean or Divine | | | We claim that the Golden mean is intricately related | | | there is a natural sequence of nested Golden |
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http://www.mathcad.com/library/constants/gold.htm
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| | Lutherie Myth/Science: Violin Scrolls are Based on the Golden Mean Spiral |
| | And drawing a 90° circular arc in each square such that the central most corner of the square is the center of the arc approximates a golden mean spiral looks like this: | | | For all practical purposes you can keep doing this division until things are so small you can't see them. | | | This is a myth, and one that appears to have survived for a long time. |
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http://www.liutaiomottola.com/myth/scroll.htm
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| | Greek Philosophy: Aristotle, The Doctrine of the Mean |
| | Greek Philosophy: Aristotle, The Doctrine of the Mean | | | Virtue, then, is a kind of moderation inasmuch as it aims at the mean or moderate amount. | | | By the absolute mean, or mean relative to the thing itself, I understand that which is equidistant from both extremes, and this is one and the same for all. |
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http://www.wsu.edu/~dee/GREECE/MEAN.HTM
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| | Links |
| | More deeper meaning of a symbol drawn by some guru. | | | General Aspects of the Golden Section and Proportions: | | | Michelangelo and the Golden Section in his work. |
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http://home.att.net/~vmueller/links/links.html
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| | Golden mean - Wikipedia, the free encyclopedia |
| | The Doctrine of the Golden Mean (Chinese: 中庸; Hanyu Pinyin: Zhōng Yóng), is a chapter in Li Ji (Chinese: 禮記; Hanyu Pinyin: Lǐ jì) is one of the "Four books" of classical Chinese writings. | | | Golden mean is also sometimes used as a synonym for the golden ratio (also called golden section, golden number, or divine proportion), the irrational number approximately 1.61803..., which is: the smaller is to the larger as the larger is to the sum of the two. | | | In philosophy (especially that of Aristotle), the golden mean is the felicitous middle between two extremes, one of excess and the other of deficiency; for this meaning, see golden mean (philosophy). |
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http://en.wikipedia.org/wiki/Golden_mean
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| | Tim Malin - Golden Mean |
| | I would love to share my knowledge with you and I am always available should you have any questions. | | | One question everyone asks: What is Golden Mean? | | | Golden mean refers to the mid-point between any two extremes - a point of "balance". |
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http://www.goldenmeanllc.com
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| | Golden Ratio |
| | Go to Mark Wahl Learning Services and Books then click books to find info on the book this came from. | | | It is one of many from my popular book | | | Statues of human bodies considered most perfect by the Greeks had many Golden Ratios. |
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http://www.markwahl.com/golden-ratio.htm
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| | Golden Mean Introduction & Resources |
| | As I began to read about the history of western art I kept bumping into mysterious phrases like "Golden Mean," "Golden Proportion," "Golden Rectangle," and "Golden Section." I was certain that there must be some great mystery of the universe revealed in this mysterious sounding concept. | | | Every time I glance at my hand I see the Divine Equation! | | | What it means is that whenever the length of "A" in relation to "B" is the same as the relation of "B" is to the length of "A" and "B" put together, the Golden Section is present. |
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http://www.spyrock.com/nadafarm/html/gm.html
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| | Proportions: Golden Section or Golden Mean, Modulor, Square Root of Two, Theorie and Construction |
| | The Golden Section or Golden Mean is derived with simple | | | This of course means that pasting two DIN A pages together at their long sides yields the next larger DIN A formatted page. | | | Golden Section or Golden Mean, Modulor, Square Root of Two |
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http://photoinf.com/Golden_Mean/Volker_Muller/Proportions_Golden_Section_or_Golden_Mean,_Modulor,_Square_Root_of_Two,_Theorie_and_Construction.htm
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| | Golden Mean |
| | A Golden Section is created by drawing arcs from the acute angles of a Golden Triangle - | | | The Golden Mean was derived by the ancient Greeks. | | | Both the ancient Greeks and the ancient Egyptians used the Golden Mean when designing their buildings and monuments. |
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http://www.beezlebugbit.com/school/mean/goldenmean.htm
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| | GOLDEN SECTION |
| | Note that the text area is not a GOLDEN rectangle. | | | plus if for some reason you chose not to use a golden section there are root proportions from the golden mean which follow asthetic and anchient traditions. | | | I don't know if these text areas are GOLDEN SECTIONS. |
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http://www.cyberspaceorbit.com/ironhart/goldensec.html
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| | Golden Triangle and Spiral |
| | Hence, one has initiated the beginning form and structure upon which another Golden Spiral arc will descend. | | | To then generate the Golden Mean Spiral, conscious coherence, from heart to mind, Love as the Ultimate Logic, then place your point on the left hand base, and marker on the top, and draw an arc stretching from the top vertice of the obtuse angle to the bottom right of the isoceles triangles. | | | This now forms another Golden Mean Triangle, embedded in the first Golden Mean isoceles Triangle. |
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http://phoenix.akasha.de/~aton/GoldenTriSpiral.html
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| | golden mean series |
| | While investigating the Golden Mean, no equivalent Infinite series could be found that explicitly defined | | | Other excellent references where you can find information on the golden mean are Dr. Ron Knott's comprehensive pages on Fibonacci numbers and the Golden section, and the book "The Divine Proportion" by H.E. Huntley. | | | New Series: A Taylor series expansion approach was used to define an infinite series that explicitly defines |
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http://home.cinci.rr.com/roselle/goldenmeanseries.htm
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| | Golden Ratio |
| | 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. | | | There is also another page in which you attempt to build a Golden rectangle. | | | This is an excellent site in which students are asked to measure different students and different body measurements to see who is "Golden." Within the lesson there is a list of procedures and as a whole is very well written out with objectives and all. |
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http://www.math.uiuc.edu/~gfrancis/math306/math306web/GoldenRatioPeteWintermute.htm
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| | BBC - Radio 4 - 5 Numbers - The Golden Ratio |
| | Draw a rectangle in the proportions of the golden ratio, then draw consecutively smaller 'golden rectangles' within it and join diagonal corners with an arc. | | | Divide any number in the Fibonacci sequence by the one before it, for example 55/34, or 21/13, and the answer is always close to 1.61803. | | | This is known as the Golden Ratio, and hence Fibonacci's Sequence is also called the Golden Sequence. |
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http://www.bbc.co.uk/radio4/science/5numbers3.shtml
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| | Aristotle on the Mean by Gordon Ziniewicz |
| | Here are some examples of the golden mean taken from Aristotle's Nicomachean Ethics (Book II): | | | The absolute mean is different from the mean as it is relative to the individual. | | | Means themselves do not admit of excess and deficiency (one cannot have too much courage, etc.). |
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http://www.fred.net/tzaka/arismean.html
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| | Mathematical Programming Glossary - G |
| | One way to choose which Ñ survive is by those with the greatest fitness values – survival of the fittest. | | | For example, x = (½, ½) means player 1 plays each of the two strategies 50% of the time (flipping a coin on each play); y = (¼, ¾, 0) means player 2 plays his first strategy 25% of the time and his second the remaining 75%. | | | For example, for a=(.5,.5), the geometric mean of x = (1, 9) is 1*3, which is 3. |
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http://carbon.cudenver.edu/~hgreenbe/glossary/G.html
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| | The Archdome - Golden Mean Design |
| | What does this have to do with the Archdome? | | | This is why the Golden Mean has also been called the "divine" proportion, the Godlike proportion, the divine section etc.. | | | The dome enfolds the golden spiral (also known as the Fibonacci spiral). |
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http://www.archdome.com/goldenmean.html
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| | Golden Mean Quotes, Sayings about Moderation and Balance |
| | Golden Mean Quotes, Sayings about Moderation and Balance | | | It is better to rise from life as from a banquet - neither thirsty nor drunken. ~Aristotle | | | We find our energies are actually cramped when we are overanxious to succeed. ~Michel de Montaigne |
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http://www.quotegarden.com/golden-mean.html
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| | The 'Golden Mean' in number theory |
| | Notes will be added here in due course. | | | The choice of the golden mean is dictated by number theory: the golden mean is the irrational number for which it is hardest to give good rational approximants. | | | this is most readily attained by tuning the ratio to the 'golden mean' (5 |
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http://www.maths.ex.ac.uk/~mwatkins/zeta/goldenmean.htm
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| | ::THE GOLDEN MEAN SPIRAL:: |
| | The Fibonacci spiral has a definite beginning.) click on image for better view. | | | Both of these two spirals represent the Christ nsciousness grid of the human race that had been destroyed some 13000 years ago; this event caused future generations to perceive reality through low consciousness levels thus creating fear and chaos. | | | It's structure represents two well known sacred geometry shapes: the golden mean (phi) spiral and fibonacci spiral. |
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http://www.merkaba.co.il/Spiral.htm
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| | Idaho Fish n Hunt - f-Stops Here- The Golden Mean - Outdoor, Nature and Wildlife Photography - Photographer - Fishing ... |
| | It is meant to teach, though, not imprison. | | | This "grid" has four points at which the lines intersect -- called "golden sections." Depending on other factors, it is at or near these points that a photo’s main subject should probably be placed. | | | Two thousand years ago when Pythagoras asked his students where a knot should be tied in a piece of string to make it look "aesthetic," they decided it was about.38 of the way in -- off center. |
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http://www.idfishnhunt.com/fstops9.htm
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| | Golden Mean - ConceptArt.org Forums |
| | What do you guys know about the Golden Mean? | | | the golden mean, or golden ratio, is a concept that appears often in nature. | | | Up above is the Golden Spiral, you can see how it matches up to his paintings... |
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http://www.conceptart.org/forums/showthread.php?t=44616
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| | Design and Proportion - The 'Golden Mean' |
| | The builders of Paestum used the Golden Mean in their temples. | | | Both the ancient Greeks and the ancient Egyptians used the Golden Mean when designing their buildings and monuments. | | | Ok now we know what the 'golden mean' is what do we do with it? |
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http://www.geocities.com/~jlhagan/lessons/design2.htm
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| | Flower of Life - The Golden Mean Spiral and The Merkaba - Article by Ronald L. Holt - |
| | The Golden Mean Spiral in Prayers and Chanting | | | In another context I would say that God left us one door of eternal mystery and exploration¾ the Golden Mean Spiral or the door of love. | | | Flower of Life graduates have spent much time exploring the merkaba through the 17-breath meditation that is taught in the course. |
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http://www.floweroflife.org/spiral01.htm
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| | The Golden Mean |
| | This purpose of this paper is to state in the simplest form problems which relate to the Golden Mean, and pursue a variety of directions which aim to explain the origin of this remarkable ratio and its ultimate meaning in the world of mind and matter. | | | It can be expressed succinctly in the ratio of the number "1" to the irrational "l.618034... | | | That this was a commonly understood and accepted ratio can be inferred from its extensive use in the work of the 5th century architect Iktinos, who designed the Parthenon with the Golden Mean ratio throughout.. |
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http://community.middlebury.edu/~harris/Humanities/TheGoldenMean.html
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| | The Golden Mean, Online Art Instruction |
| | Phi possesses both qualities, and as such, is considered perfect proportion, also referred to as the Divine Proportion. | | | The Golden Mean, 1.61803398874989…, represented by the Greek letter phi, is a naturally occurring number, like pi, that repeatedly occurs in various relationships. | | | We see that this is the same thing that's going on in the Fibonacci Series. |
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http://www.makart.com/resources/artclass/golden.html
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| | Aristotle's Golden Mean of Midlife |
| | Aristotle’s golden mean would bring together both positions, practicality and benevolence, a midlifer who helps others while taking care of his or her own needs too. | | | Aristotle called this equilibrium the "golden mean" of life. | | | The philosopher Aristotle saw midlife (about 50) as the ideal age, the time in life when one is most balanced between the excesses of youth and age. |
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http://www.bestyears.com/aristotlemean.html
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| | The Golden Mean & Penrose Tilings , Towards Hyperdimensional Intergeometry |
| | These are in fact two Golden Triangles, base-to-base), and the other one has the angles of 72° and 108° degrees, which again are part of the Unified Field Cartography system, as well as the Unified Field Universal Map, which we have been mathematically generating in our recent work (see ATON). | | | This great British physicist and mathematician, has developed a series of aperiodic tilings, which themselves incorporates the Golden Mean and the five-fold pentagonal symmetry lies inherent in it, and hence is infinitely recursive in its connectivity. | | | The two decagrammes in his relationship are highlighted as follows: |
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http://www.akasha.de/~aton/PENROSEtile.html
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| | Chaos Theory |
| | I mean would maths have been a related discipline in those days? | | | Peter Paul Nash : It's to do with an extreme fluidity,a kind of making the music like life.The first composer that I know of who came up with these ideas,formalising the musical term,was early as 1959,which is before the word Fractal was coined,and before Chaos Theory was formalised. | | | David Bedford : Well (sniggers),I mean that my keyboard won't do quarter tones at the moment and when I finally use the chord,which will be with a choir,then I'll be able to use that properly. |
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http://www.fortunecity.com/emachines/e11/86/chaos.html
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| | Golden Mean Gauges |
| | Laminated and tear off book of Golden Mean Grids. | | | The Golden Section, the phi relationship, has long been used by craftsmen and professionals of many fields to understand and achieve beauty, balance and harmony in their work. | | | Golden Section / Mean / Proportion / Ratio / Number, |
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http://goldennumber.net/gauges.htm
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| | Geometry in the Natural World |
| | Besides possessing some remarkable and unique characteristics, the Golden Mean is found in virtually all living creatures on Earth. | | | This means that it cannot be completely represented by our currently used number system, except as a formula ( | | | The understanding of geometry as an underlying part of our existence is nothing new and in fact the Golden Mean and other forms of geometry can be seen imbedded in many of the ancient monuments that still exist today. |
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http://www.infinitetechnologies.co.za/articles/geometry1.html
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| | The Golden Mean |
| | As I understand the Golden Mean, the rectangle of specific proportions is broken up into three basic sections, then the smaller of these sections broken into three sections, and so on. | | | For anyone who's interested, this is a mathematicians dream, or so it would seem from reading some of the websites devoted to studying the Golden Mean. | | | A section created this way is sometimes called a Golden Section or Devine Section. |
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http://www.pixelalley.com/tutorials/thegoldenmean.html
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| | Bremsstrahlung Recordings |
| | The Golden Mean is perhaps the best known ratio in the world. | | | The GM is even more meaningless when it comes to rhythm (if you tell me that the answer in the "shave and a haircut" knock comes at the GM point, I will hit you). | | | Using graphite on paper, I then recorded myself writing the quadratic equation which produces the Golden Ratio as many times as was possible for the duration of 1:37. |
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http://www.bremsstrahlung-recordings.org/transradiation/trans002.php
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| | Golden Ratio |
| | He also divides the formal sections of some of his pieces in ratios corresponding to the golden mean. | | | The golden mean ratio can be found in many compositions mainly because it is a "natural" way of dealing with divisions of time. | | | Without going into much detail, Debussy also does this in some of his music and so does Xenakis (a composer who writes exclusively by using stochastic distributions, set theory, game theory, random walks, etc.) in his first major work, "Metastasis". |
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http://web.hep.uiuc.edu/home/karliner/golden.html
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