21. Lee Dickey's Geometry Corner Find out more about constructions for the golden mean Geometry I am interested in Geometry, including finite geometric structures, like finite projective planes and finite http://www.math.uwaterloo.ca/~ljdickey/geometry_corner/

Geometry Corner Three-Four-Five Triangle and the Golden Mean The figure above, (click on it to see a larger version) shows how one may use the famous three-four-five triangle inscribed in a circle to construct the Golden Ratio. Of course this is not the most efficient construction in terms of the number of steps required, but it is interesting. It was discovered by Gabries Bosia. Find out more about constructions for the golden mean Geometry I am interested in Geometry, including finite geometric structures, like finite projective planes and finite hyperbolic planes. Here are some very nice geometrical things. The Math Forum at Swarthmore is doing wonderful things with geometry (and other areas of mathematics) these days. Dynamic geometry hot topic in teaching and research. Two interesting archives are The Cabri Archives has some of my early geometrical constructions. Sketchpad Archives A technical outline of paper called On a Family of Conics Maple , the symbolic algebra program. An earlier version of this paper, entitled Families of Conics is included as a "submission" to the Math Forum at Swarthmore College.

22. Halloween Inspirations - IContact Community resonant sound, golden mean geometry, and focused intention. $33 per person Register here I experienced feeling safe all the way down to a cellular level an experience that http://community.icontact.com/p/positivecentral/newsletters/positive_central/pos

var communityBaseUrl='http://community.icontact.com'; Join Log In All Blogs ... Women Like this newsletter? Subscribe via RSS Feed Positive Central Halloween Inspirations Vote Comment laurief Oct 31, 2007 Halloween Inspirations from Lauren ArcherĀ and Positive Central The best part of Halloween for me, is the opportunity to "try on" a totally different persona. Donning a costume and accessories, one can step into a role quite outside of one's ordinary reality, and "feel" what it's like to be someone else - if only for a little while. What if we had the freedom during the rest of the year to show up on any given day in a costume that suits the mood of our playful, inner child? Instead of conforming to the expectations of others, what if we could release the limitations of who we are "supposed to be," and claim the identity of whoever we decide to be? Imagine that for a moment! Who would you be? This Halloween, I invite you to consider in what ways you conform your identity to others' expectations, and in what ways you would express yourself more freely, if given the opportunity. Imagine what it might be like if you couldĀ erase your past, travel to a place where no one knows you, and reinvent yourself afresh. Who would you choose to be? What parts of yourself would you choose to express more fully?

23. FIBONACCI TOWER For Tea Ceremony Room Just a few years ago, I built Sunflower Tower Cone (2003 Miami) and Sunflower Tower Catenary (2004 Kyoto) based on the Golden Mean Geometry. They were temporary monumental sculptures. http://starcage.org/yokokuji/chashitsu.html

FIBONACCI TOWER for Tea Ceremony Room YOHKOKU TEMPLE, NAGAOKA, KYOTO, JAPAN Nov. 2005 Supported by YOHKOKU TEMPLE Tourist Association of Nagaoka City Just a few years ago, I built Sunflower Tower Cone (2003 Miami) and Sunflower Tower Catenary (2004 Kyoto) based on the Golden Mean Geometry. They were temporary monumental sculptures. This attempt is a development of the same principle as a practical architecture. Although it is the simplest way, I believe this is a prototype which should become an effective bamboo house against earthquake. We can sophisticate the prototype from now. A computer graphics before construction. Completion This is an exhaustive mathematical architecture based on the Golden Mean. It will be kept here for 3 years at least. The sub-chief priest of the YOHKOKU Temple named it "JO-CHIKU-AN". DATA Roof: 75 parts (about 13 poles of MOSO Bamboo cut down in NAGAOKA area). Wall and floor: Plywood panels. Basement: Concrete blocks. Height: 4.5m Floor space: 3.9m^2 Seven persons can sit maximum surrounding the fire place. The term of construction work One week for preparation.

24. Lahrinda's Symbala Golden Mean Geometry is the transmitter and the blueprint. It gives voice, symmetry and form to our universe and to our Symbala reflections. Many artists use themselves to hone http://host.element3.com/~creative/Lahrinda12.htm?cid=[cid]

25. Between The Lines Even as an image of purely scientific exploration the shapes inspire awe and wonder reminiscent of the great golden mean, geometry of the Gods. http://matthewgraypalmer.com/Sculpture/betweenthelines.html

Between the Lines Cast and fabricated Bronze, steel, carved limestone and gold 29" x 26" x 16" Unique Private Collection © 2010 Matthew Gray Palmer Fine Arts Photo credit - Danielle Dean Palmer With a play on the concept of "splitting" atoms I have split the bubble chamber image opening it like the wings of a butterfly and book matching the image, creating a symmetrical design between the two pages. As the 2 dimensional image on the pages falls open a 3rd dimension of space is produced, that of the void, that which represents what we cannot see and cannot know - the transcendent mystery source. The raven is poised as the observer and the cause of this paradox, inextricably linked and therefore at one with and a manifestation the transcendent. It is a representation of our cleverness and unwitting ability to turn our curiosity and drive for understanding on its head by discovering an ever-deepening mystery. The more we know, the more we don't know." - MGP

26. Geometry Of The Kurma The Tortoise Kangra Painting that each of the central elements of the tortoise, shaft, rope, lotus and Vishnu was carefully proportioned to maintain the coherent balance provided by Golden Mean geometry. http://www.constructingtheuniverse.com/Kurma.html

Geometry of Kangra Paintings Kurma the Tortoise Incarnation of Vishnu by Michael S. Schneider When scholarship in Europe declined during the Dark Ages, priceless Hellenistic and other works of antiquity, including mathematics, were virtually lost to them, surviving only in the Christian Monastaries. When the Muslim Arabs conquered parts of Asia, Europe, and North Africa in the late 7th and early 8th centuries they'd developed few artistic traditions of their own, and only the simplest mathematics. But through their conquests they absorbed and modified elements of Byzantine, Coptic, and Persian art and mathematics, which took root in Islamic centers of learning and developed various ways. When India's second Mughal emperor, Humayun (reigned 1530-1540 and 1555-1556) was visiting Tabriz, Persia, in the Safavid court of Shah Tahmasp I, he was exposed to Persian miniature painting. Greatly impressed, he returned to India with two accomplished Persian artists, Sayyid Ali and Abdus Samad. Their works were assimilated with local styles, and during succeeding decades gave shape to a distinct style known as Mughal painting When Nadir Shah of Persia invaded the Indian plains in 1739, Hindu artists trained as Mughal miniature painters fled north to the

27. Andara Golden Mean Pendant Clear examples of Sacred Geometry (and Golden Mean geometry) in Nature and matter All types of crystals, natural and cultured. The hexagonal geometry of snowflakes. http://lifestreasureskauai.com/blog/andara-crystals/andara-golden-mean-pendant/

28. Ancient Knowledge And Modern Science Clear examples of Sacred Geometry (and Golden Mean geometry) in Nature and matter A ll types of crystals, natural and cultured. The hexagonal geometry of snowflakes. http://www.sacred-geometry.com/sacredgeometry.html

* An Introduction to SACRED GEOMETRY * Crop Circles Are Codes of The Cosmos ... HOME Introduction 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. self -awareness.

29. Product Technology (Recursive Golden Mean geometry). 3. Patterned mantra intonations to assist in producing a peaceful state of relaxation and balance. (Ayurvedic addition). http://www.mindmint.com/product-technology.aspx

Retail Division of Progressive Awareness Research, Inc. Welcome Customer Testimonials Newsletters ... Subscribe today Free Stuff Free Books Online Technology Progressive Awareness ... Home Product Technology About InnerTalkĀ® Technologies Whole BrainĀ® InnerTalkĀ® Programs Whole BrainĀ® InnerTalkĀ® audio and video programs feature pleasant, easy-listening music or nature sounds that are specially mixed with positive background affirmations on the chosen self-help topic. InnerTalkĀ® audio programs are extremely easy to use. They are played in the background on any regular stereo cassette or CD player while the user is working, driving, relaxing, reading, playing sports, even sleeping or watching TV. They can also be used with a personal tape or CD player while jogging, bike riding or any other activity. No conscious thought or effort is required to produce dramatic, positive and automatic results. InnerTalkĀ® programs may appear to work like magic, but they're based on new scientific discoveries about how we learn and process information - and how this affects our everyday life. InnerTalkĀ® programs tap into our natural human ability to absorb information even when we're not thinking about it. On the surface, the programs sound like any other easy-listening music or nature programs you may have heard... but there is a powerful difference. Carefully blended in the background are dynamic affirmations such as 'I feel good,' 'I am successful,' etc., that make long-lasting, positive impressions.

30. Mathematics Homework THE GOLDEN MEAN Geometry Online http//math.rice.edu/~lanius/Geom/ Find out about the world's greatest mathematicians, learn to see the triangles that make up shapes, build a http://www.litch.com/library/HomeworkSites/MathHomework.htm

Mathematics GO TO: Arithmetic Golden Mean History of Mathematics ARITHMETIC: Figure This! Math Challenges for Families http://www.figurethis.org/index40.htm Twenty-two word problems that really make you think, including "Line Up", "Beating Heart", "Fill It Up", and "Upside Down". Explains how to think through and solve each of the problems. Flashcards for Kids http://www.edu4kids.com/math/ What is 2 - 6 + 3? Practice addition, subtraction, multiplication, and division at this site. FunBrain.com http://www.funbrain.com/ "Math Baseball" and "Math Car Racing" are only two of the 30 educational games you can play at FunBrain! Math Forum - Ask Dr. Math - Elementary School Level http://forum.swarthmore.edu/dr.math/drmath.elem.html How-to's and problems in addition, subtraction, multiplication, division, place value, fractions, decimals, the "Golden Rectangle", geometric shapes, square roots, units of measure, puzzles, and word problems are at this math mega site. Math League Help Topics http://www.mathleague.com/help/help.htm Definitions and explanations of whole numbers, decimals, fractions, statistics, geometry, ratios, percentages, measurements, beginning algebra, and positive/negative numbers for kids in 4th through 8th grade.

31. Arcoessence Philosophy The Arcoessence logo is derived from a logarithmic spiral, generated by golden mean geometry, this is repeated abundantly in nature. The spiral is contained in a circle http://www.arcoessence.com.au/Philosophy.html

A R C O E S S E N C E P H I L O S O P H Y Welcome to our website. We trust your visit is inspiring and enjoyable... Our business name developed by combining 'arco' from architecture - meaning to bow or arch - for us, to serve. Then 'essence' to get to the core or distinctive feature of something. Two ideas we endeavour to achieve in our work. The Arcoessence logo is derived from a logarithmic spiral, generated by golden mean geometry, this is repeated abundantly in nature. The spiral is contained in a circle, considered by the ancients as perfect geometry, a symbol of wholeness and completion. Our Logo therefore is a symbol of our design inspiration. For 30 years our goal has been to create harmonious living conditions, through a wholistic view of design and construction, while actively promoting of the occupants. It is important to note that the wide range of styles demonstrated in our work reveals a versatility to satisfy clients desires, even though many say our 'thumbprint' remains evident! Our strength is not to slavishly follow current styles or magazine trends.

32. Science-art He considered that human evolution could most certainly be explained in rigorous ethical scientific concepts Kun Huang suggested that Golden Mean geometry could be found within the http://degsart.com/science-art.html

HOME GALLERY SCIENCE-ART 3-D ART ... CONTACT ABOUT SCIENCE- ART Western science in the 3rd Century BC resulted from two centuries of Atomistic speculations that attempted to fuse ethics into the Nous theories of Anaxagoras, in order to establish a Science for Ethical Ends. http://en.wikipedia.org/wiki/Atomismhttp:// www.abu.nb.ca/Courses/GrPhil/Anaxagoras.htm At that time science and art were not separated and the general thrust of the ancient Art Appreciation Physics is not difficult to explain. It could be considered that the movement of the moon about the earth was held to influence the female fertility cycle. This movement was considered to be musically harmonic. movement transmitting ethical wisdom to evolving humanity through the forces of harmonic resonance. Pythagoras taught about the Music of the Spheres and Plato described the heavens in terms of musical ratios. http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html Aristotle linked celestial movement to ethical wisdom within the functioning of his 5th element of quintessence, a concept describing the existence of an immortal soul, later adopted by the

33. David`s Cosmic Jewelry Blog » Blog Archive » The Divine Reflection It revolves around the Golden Mean ;Geometry , the ancient greek philosophers such as Euclid, Plato and Pythagoras ;figures from The Renaissance such as http://blog.ka-gold-jewelry.com/index.php/2010/03/22/the-divine-reflection/

The Divine Reflection March 22nd, 2010 by admin There !I did it!!!! This is the finished piece. I finished the first part of my research in order to reveal to you what I refer to as It revolves around the Golden Mean ;Geometry , the ancient greek philosophers such as Euclid, Plato and Pythagoras ;figures from The Renaissance such as Luca Pacioli Leonardo Fibonacci and Leonardo Da Vinci and NASA. Posted in Website alerts New Jewelry Models Leave a Comment Name Mail (will not be published) Website Please note: Comment moderation is enabled and may delay your comment. There is no need to resubmit your comment. All posts The Completed Famulets Discount coupon of 15% - 7696RE6K The Famulet Series The Great Mother Ring ... About Join us on facebook! Stay updated and share about the mystery of cosmic symbols Ka Gold Jewelry Home Recent Posts The Completed Famulets Discount coupon of 15% - 7696RE6K The Famulet Series The Great Mother Ring ... New designs and a story of a miracle that will give you goose bumps!!! Categories: Astrology Jewelry Discus fish Eco Jewelry From the press ... Website alerts Archives: November 2010 October 2010 September 2010 August 2010 ... June 2007 Search: Meta: RSS Comments RSS

34. Quantum World Reveals 'Golden Ratio' Symmetry - Softpedia There is a highly interesting connection between science and religion which comes out as a byproduct of El Naschieā€™s discovery of golden mean geometry and quantum golden mean http://news.softpedia.com/news/Quantum-World-Reveals-Golden-Ratio-Symmetry-13156

35. Great Golden Pyramid when the square of its mass divided by the square of its spin parameter is equal to the golden ratio . . Adam Maturana has a web page about the Golden Mean geometry http://www.valdostamuseum.org/hamsmith/Gpyr.html

The Great Pyramid has Golden Geometry of the Golden Mean What does it look like ? What are its Purposes Ikonos satellite image PBS NOVA has an Online Exploration of the Giza Pyramids and Sphinx with commentary by Mark Lehner and Zahi Hawass, who advocate an age of about 4,600 years for the Giza pyramids. Mark Lehner says "... we know ... the date of the pyramids ... mostly by context. The pyramids are surrounded by cemeteries of other tombs. ... we find organic materials ... that can be radiocarbon dated ... But primarily we date the pyramids by their position in the development of Egyptian architecture and material culture over the broad sweep of 3,000 years. ..." I agree with the dates of the materials found in the area of the Giza pyramids, but I do NOT agree that those materials, tombs, etc., are the materials, tombs, etc., of the builders of the Giza Pyramids and Sphinx. In my opinion, the builders were either the Ice Age Civilization of 36,525 to 11,600 years ago, or, at the latest, a part of a global Early Human Civilization that broke up about 6,000 years ago, and that the Giza Sphinx and Pyramids were already built about 5,100 years ago when Menes reunited Lower Egypt, including Giza, with Southern Upper Egypt.

36. Product Technology (Recursive Golden Mean geometry). 3. Patterned mantra intonations to assist in producing a peaceful state of relaxation and balance. (Ayurvedic addition). http://www.innertalk.com/product_technology.html

37. Energy Experience Results And More - IContact Community Here is just a taste of the experience Charles Finkelstein enlightened us with a dynamic Powerpoint presentation on the art and science of the Phi Ratio, Golden Mean Geometry http://community.icontact.com/p/positivecentral/newsletters/positive_central/pos

var communityBaseUrl='http://community.icontact.com'; Join Log In All Blogs ... Women Like this newsletter? Subscribe via RSS Feed Positive Central Energy Experience Results and More Vote Comment laurief Oct 25, 2007 The Energy Experience: Results Are In This past Saturday evening, we went "out on a limb" to host an experimental event we call the Energy Experience.Ā  OurĀ intentionĀ is to provideĀ entertaining events that inspire personal transformation by combining the effects ofĀ human energy, golden mean geometry, sound, trance, and focused intention. THE RESULTS ARE IN "I gained more than I can even convey."Ā  -Ā shared by an Energy Experience participant. See more comments below. Our next event is Saturday, November 3rd. Here is just a taste of the experience: CharlesĀ Finkelstein enlightened us with a dynamic Powerpoint presentation on theĀ art and science of the Phi Ratio, Golden Mean Geometry, and the Fibonacci sequence. Charles demonstratesĀ the connection between the space in which weĀ sitĀ andĀ  proportions in art, science, nature, astronomy, and even the human body. To take this concept deeper, Ayhan Yavuz led us through a harmonizingĀ exercise, arranging our chairsĀ in a Golden Spiral, inviting us to experienceĀ subtle shifts in multiple dimensions of energy.

38. Geometry: Golden Mean., Concidence, Answers To The Questions You are here Experts Science Math for Kids Geometry Golden Mean. Geometry Golden Mean. http://en.allexperts.com/q/Geometry-2060/Golden-Mean.htm

zGRH=1 zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') zDO=0 AllExperts Geometry Search Geometry Volunteer Answers to thousands of questions Home More Geometry Questions Answer Library ... Encyclopedia zmhp('style="color:#fff"') More Geometry Answers Question Library Ask a question about Geometry Volunteer ... Link to Us About Stephen King Expertise Geometry in general isn`t all that hard, but when it comes to the proofs that`s where most students have trouble. I`m a math major and have a very good understanding of math proofs. I can show you what to look for when doing them, as well as trying to solve any other geometry problem. I can also help with non-Euclidean geometry, especially spherical geometry. Experience I am a math major currently working towards my math degree. I have taken more than 30 math classes at Oregon State University, and was a co-instructor for Math Excel, a class developed to help students with math. You are here: Experts Science Math for Kids Geometry ... Geometry - Golden Mean. Expert: Stephen King - 10/15/2004 Question How does phi relate to the golden mean? And is phi related to pi ie. 3.1416.. and if so, how?

39. 1.618 The Golden Mathematical Proportion Of Nature Clear examples of geometry (and Golden Mean geometry) in Nature and matter Crystals, natural and cultured. The hexagonal geometry of snowflakes. http://www.e-1618.com/1618.htm

1.618 the Golden Mathematical Proportion of Nature THE FIBONACCI SERIES No consideration of the Golden Proportion can be complete without mention of the Fibonacci Series which is the complementary view of the Golden Proportion. These numbers are also abundant in the beauty of nature and teeth. Definition In this series of numbers each term is the sum of the previous two terms as follows: etc. The division of any two adjacent numbers gives the amazing Golden number e.g. 34 / 55 = 0.618 or inversely 55 /34 = 1.618. It is called the Fibonacci series after Leonardo of Pisa or (Filius Bonacci), alias Leonardo Fibonacci, born in 1175, whose great book The Liber Abaci (1202) , on arithmetic, was a standard work for 200 years and is still considered the best book written on arithmetic. It was the principal means of demonstrating and introducing the enormous advantages of the Hindu Arabic system of numeration over the Roman System. Leonardo's reputation amongst scholars was deservedly great. It was so outstanding that King Frederick II, visiting Pisa in 1225, held a public competition in mathematics to test Leonardo's skill and he was the only one able to answer the questions (Huntley 158) One of the most spectacular examples of the Fibonacci Series in nature is in the head of the sunflower.

40. How To Protect Your Energy This is known as the Golden Ratio or golden mean geometry. There are many clear examples of sacred geometry and golden mean geometry in our world. http://ezinearticles.com/?How-to-Protect-Your-Energy&id=4206873

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