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  1. Pythagorean Philosophy: Pythagorean tuning, Sacred geometry, Pythagoreanism, Golden mean, The golden verses of Pythagoras, Androcydes
  2. The Geometry of the Sun God: Apollo's Golden Mean: Vol 1 by Keith Squires, 2005-03-21
  3. The Ten Books on Architecture - Original Unabridged Version by Vitruvius Pollio, 2010-07-17
  4. The Ten Books on Architecture - Latest Edition 2010 by Vitruvius Pollio, 2010-07-10
  5. The Ten Books on Architecture by Vitruvius Pollio, 2010-06-25

1. Crystalinks Ezine - Crystalinks
Sacred Geometry. Sacred geometry involves sacred universal patterns used in the design of everything in our reality, most often seen in sacred architecture and sacred art.
http://www.crystalinks.com/sg.html

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Sacred Geometry
Sacred geometry involves sacred universal patterns used in the design of everything in our reality , most often seen in sacred architecture and sacred art. The basic belief is that geometry and mathematical ratios, harmonics and proportion are also found in music, light, cosmology. This value system is seen as widespread even in prehistory, a cultural universal of the human condition. It is considered foundational to building sacred structures such as temples, mosques, megaliths, monuments and churches; sacred spaces such as altars, temenoi and tabernacles; meeting places such as sacred groves, village greens and holy wells and the creation of religious art, iconography and using "divine" proportions. Alternatively, sacred geometry based arts may be ephemeral, such as visualization, sand painting and medicine wheels. Sacred geometry may be understood as a worldview of pattern recognition, a complex system of religious symbols and structures involving space, time and form. According to this view the basic patterns of existence are perceived as sacred. By connecting with these, a believer contemplates the Great Mysteries, and the Great Design. By studying the nature of these patterns, forms and relationships and their connections, insight may be gained into the mysteries - the laws and lore of the Universe.
Music The discovery of the relationship of geometry and mathematics to music within the Classical Period is attributed to Pythagoras, who found that a string stopped halfway along its length produced an octave, while a ratio of 3/2 produced a fifth interval and 4/3 produced a fourth. Pythagoreans believed that this gave music powers of healing, as it could "harmonize" the out-of-balance body, and this belief has been revived in modern times. Hans Jenny, a physician who pioneered the study of geometric figures formed by wave interactions and named that study cymatics, is often cited in this context. However, Dr. Jenny did not make healing claims for his work.

2. Breakthrough Technologies Conference Report
There was a large focus on Fractility, Implosion, and the Golden Mean geometry integral to the new concepts. Some of the new technologies ready for production are a water processor
http://abundanthope.net/pages/Scientific_102/Breakthrough_Technologies_Conferenc
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3. Golden Ratio - Wikipedia, The Free Encyclopedia
In mathematics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the
http://en.wikipedia.org/wiki/Golden_ratio
Golden ratio
From Wikipedia, the free encyclopedia Jump to: navigation search For the Ace of Base album, see The Golden Ratio (album) The golden section is a line segment divided according to the golden ratio: The total length a + b is to the longer segment a as a is to the shorter segment b In mathematics and the arts , two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant , approximately 1.6180339887. Other names frequently used for the golden ratio are the golden section (Latin: sectio aurea ) and golden mean Other terms encountered include extreme and mean ratio medial section divine proportion divine section (Latin: sectio divina golden proportion golden cut golden number , and mean of Phidias The golden ratio is often denoted by the Greek letter phi , usually lower case ( The figure on the right illustrates the geometric relationship that defines this constant. Expressed algebraically: This equation has one positive solution in the algebraic irrational number At least since the Renaissance , many artists and architects have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle , in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aesthetically pleasing.

4. Forgetomori » Folding The Yoshimoto Cube, Feeding 5000
Instead of finding an infinitely strong computer, we should find a theoretical solution. This theoretical solution happens to be the golden mean geometry and topology of E
http://forgetomori.com/2009/science/folding-the-yoshimoto-cube-feeding-5000/

5. Golden Mean Geometry Zodiac Symbalas
Astrology has served me well as a pyschological tool for selfawareness in my spiritual journey. Therefore, it was inevitable that it become the focal point for one of my most
http://www.creativehealth.com/GMGZodiacSymbalas.htm?cid=[cid]

6. True Physics Of The Holy Grail+EartHeart In Print+Magazine Publishes HeartTuner
Golden Mean geometry (all over DNA for example) makes the wave VELOCITIES interfere constructively. This means that charge compression - turns in to charge ACCELERATION ( the
http://www.goldenmean.info/grailphysics/
True Physics of the Holy Grail + EartHeart in Print + Magazine Publishes HeartTuner
Implosion Group- Nov 1, 05 - Newsletter- online (if you do not see the images): goldenmean.info/grailphysics , main index: goldenmean.info Implosion Group: implosiongroup@yahoo.com , (new) direct email Dan Winter: danwinter@goldenmean.info Update June 06: Implosion Group+ Dan Winter urge you to see the much updated - with online MOVIE- version of this article: www.goldenmean.info/realgrail 1. Original Dan Winter- Book2: "EartHeart!" - now beautifully in print!- special combination offer- 3 Books+ 20 DVD Set 168Euro! 2: HeartTuner in Print- New NATURES WISDOM Magazine - Published Article- reprinted. 3. Gravity Making- RECURSION AMONG CAPACITORS- Update.. 4. The True Physics of the Holy Grail: Infinite Fractal Compression .- exerpt from new magazine article in process..
( also- for more of the EXPERIENCE.. check out: South France July 09- The Holy Grail Mysteries and Cathar Sacred Sites
- link: fengshuiseminars.com and goldenmean.info/course

7. Access The Members Area
Not a Member? Sign Up to get Full Access Our Members Area Radio, Red Ice TV, Video Interviews, Films, Webcasts and much more. Why Subscribe? Home About Us
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8. Digg - Golden Ratio Discovered In A Quantum World
There is a highly interesting connection between science and religion which comes out as a byproduct of El Naschie’s discovery of golden mean geometry and quantum golden mean
http://digg.com/news/science/Golden_ratio_discovered_in_a_quantum_world
Digg People you know are already discovering news. Assign Topic

9. EMBEDABILITY MONITORING-AS THE HEART GEOMETRIZES, SO FEELING EMBEDS..
This PHI Golden Mean geometry is the PRINCIPLE of idealized embedding in all systems. in practical terms this means we can tweak any chaotic oscillator
http://caltek.net/dan/connectivity/phibiz/embedability
EMBEDABILITY MONITORING AS THE HEART GEOMETRIZES, SO FEELING EMBEDS.. by dan winter, this article documents the concept that in both physics and emotion, any wave that can nest or embed itself from inside out, can survive. since embedability can be mathematically perfected by golden ratio based recursion/branching/nesting, this literally becomes a prescription for how to make ANYTHING sustainable and thus immortal! (the egg survives in the womb to the extent to which it is.. able to embed This PHI Golden Mean geometry is the PRINCIPLE of idealized embedding in all systems. ... in practical terms this means we can tweak any chaotic oscillator (like a heart or brain or a power distribution grid or a planet climate) toward self organization by simply nudging a critical few of it's key wavelengths toward PHI (Golden Mean) embedability... the tricky part is that whenever we do this we are waking up a being who will become self aware and have intention. by Dan Winter related by Jonathan Dickau: Are the Boundaries of Consciousness a Fractal?
Inspired by Dan Winter, Assembled by Panos Axiomakaros , for:
Olympian University Foundation: Home Page Mission Curriculum Human Resources ... Application Links
The first series of tests for my original idea that embedability and thus compassion and fractality could be measured and fed back, met with such surprising immediate confirmation that it felt appropriate to share even preliminary data.

10. Www.innertalk.com Products
(Recursive Golden Mean geometry.) Phi is a magic number in physics. The ratio of phi is both the ratio of creation as seen in the torroidial donut and the ratio of the DNA molecule
http://www.innertalk.com/health_and_wellness.html
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11. GRAIL RIPLINGER'S ROSICRUCIAN MASTERPIECE - 2
Its angles embody the Phi ratio and golden mean geometry, and as such this figure appears a great deal in nature, including the human body, which is why
http://watch.pair.com/TR-rosicrucian-masterpiece-2.html
CONTENDING FOR FAITH The Received Text ONCE DELIVERED TO THE SAINTS APPENDIX I "Shock & Awe" in the KJV-Only Camp OCCULT SYMBOLS IN GRAIL RIPLINGER S ROSICRUCIAN MASTERPIECE PART 2 SPIDER WEB PENTAGRAM ALL-SEEING EYES AS ABOVE, SO BELOW THE ROSE CROSS SPIDER WEB PENTAGRAM A spider web in the shape of a pentagram is found on page 8 of In Awe of Thy Word Pagan Jewelry Spider Web Pendant Spider Web Pentacle Man inscribed in a Pentagram “Man inscribed in a pentagram, from Heinrich Cornelius Agrippa s Libri tres de occulta philosophia The Rosicrucian Emblem “The Emblem of the Rose Cross is one of these divine symbols. The Western Mystery School (that of the Rosicrucian s) has as its Emblem the red roses (symbolic of the purification of the desire nature) on the cross (materiality), the golden five-pointed star (showing that the Christ is born within the disciple and radiates from the five points which represent the head and four limbs), and the blue background (symbolic of the Father)... “The seven roses which garnish the Emblem and the five-pointed radiating star behind, are symbolical of the twelve Great Creative Hierarchies which have assisted the evolving human Spirit through the previous conditions, as mineral, plant, and animal, when it was devoid of consciousness and unable to care for itself in the slightest degree. Of these twelve hosts of Great Beings, three classes worked upon and with man of their own free will and without any obligation whatever. These are symbolized by the three points in the star upon the Emblem which point upward. Two more of the Great Hierarchies are upon the point of withdrawal, and they are pictured in the two points of the star which radiates downward from the center.” (“

12. The Mathematical Formula For The Perfect Face - Hamara Forums
Clear examples of geometry (and Golden Mean geometry) in Nature and matter All types of crystals, natural and cultured. The hexagonal geometry of snowflakes.
http://www.hamaraforums.com/index.php?showtopic=41974

13. Nature's Wisdom Magazine Online - Natural Health, Environmental Awareness, Spiri
It is becoming clear that the Golden Mean (geometry nature uses for philotaxes and DNA) is this geometry of perfect (fractal) compression.
http://www.natureswisdommagazine.com/fallo5/heartofemotion.htm
The Heart of Emotion
Have you ever experienced this? You come home, after a very stressful day, and your child rushes into your arms for a hug. Just feeling her love eases your heart and mind. Your feelings shift, and you actually forget about the challenges of the day. Throughout our lives we experience the transformation of our emotions from sorrow to joy, anger to ecstasy. The experience of emotion gives life meaning. We are not always aware of our deeper feelings and how these feelings affect the health of our bodies and minds. When confronted with a stressful event, we may become aware of tension, a nervous feeling, butterflies in the stomach, and the heart pounding. Research has shown us that the brain and body acting together produce emotions. It is the autonomic nervous system that connects the brain, heart, and body. Scientists can observe how our feelings affect our bodies by measuring our heart rhythms. Strong emotions actually create change in our heart rhythms. Irregular heart rate patterns reflect emotions of fear, worry, anger or upset. Scientists describe the heart pattern as lacking coherence. In physiology, the term coherence describes a state in which two or more of the body's systems, such as respiration and heart rhythm patterns, become synchronous at the same frequency. A shift in emotion when we feel appreciated, confident and loved actually changes heart rhythms. These patterns show greater physiological coherence. At these intervals, the body and the brain are more efficient and function in harmony.

14. Geometry Golden - Essays - Aidubowli
Golden Mean; Geometry In Real Life; The Application Of Fractal All About Disk Geometry Creative Story My Golden Age; Creative Story The Golden
http://www.oppapers.com/essays/Geometry-Golden/40120
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Geometry Golden
We have many premium term papers and essays on Geometry Golden. We also have a wide variety of research papers and book reports available to you for free. You can browse our collection of term papers or use our search engine
Geometry Golden
T0e ancient Parthenon in Athens is an example of the Golden rectangle used in Architecture.
These are examples of the Golden Rectangle in Art.
The Chambered Nautilus Is an example of the spiral shape that fits inside the golden rectangle.
Constructing the Golden Rectangle Using The Golden Ratio
The ratio, called the Golden Ratio, is the ratio of the length to the width of what is said to be one of the most aesthetically pleasing rectangular shapes. This rectangle, called the Golden Rectangle, appears in nature and is used by humans in both art and architecture. The Golden Ratio can be noticed in the way trees grow, in the proportions of both human and animal bodies, and in the frequency of rabbit births. The ratio is close to 1.618. Whoever first discovered these intriguing manifestations of geometry in nature must have been very excited about the discovery.
A study of the Golden Ratio provides an intereting setting for enrichement activities for older students. Ideas involved are: ratio, similarity, sequences, constructions, and other concepts of algebra and goemetry.

15. Icosahedron - Factbites
1+2τ)) along with the ortogonal bricks/3Drectangles ( 1, (2+τ), 2τ), ( (2+τ), 2τ, 1), ( 2τ, 1, (2+τ)), where τ = (1+√5)/2 is the golden mean. a polyhedron
http://www.factbites.com/topics/Icosahedron

16. Breakthrough Technologies Conference Report
There was a large focus on Fractility, Implosion, and the Golden Mean geometry integral to the new concepts. Some of the new technologies ready for production are a water processor
http://www.rumormillnews.com/cgi-bin/forum.cgi?read=161671

17. Sam Alfano's Tips & Tricks For Hand Engravers - The Golden Mean
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
http://www.igraver.com/goldenmean.shtml
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Bookmark this site! Home Engraving Leaf Script Stippled Script Beveling Cuts Threading/Ribbon Cutting ... Fandango Border Gravers Sharpening Gravers Polishing Gravers New Life for Old Laps Free Round Gravers Miscellaneous Photography The Golden Mean Pricing Your Work Sam's Equipment ... Classified Ads Other Info Videos and More Contact Information About iGraver.com Link To This Site ... Go to MasterEngraver.com
The Golden Mean
" 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 ." Johannes Kepler [1571-1630] Also known as The Goden Section, Golden Ratio, and The Divine Proportion. In nature, there is a fundamental ratio which is found in countless places. This ratio of 1.618:1 is called Phi, and since it's a part of the world around us, it evokes emotion and asthetic feelings. Examples of Phi in nature are the spirals in sunflowers which expand in a Phi proportion, as do pine cones and pineapples. In daisys, the florets grow in two spirals, one being 21 and the other being 34. Phi. The chambered nautilus - nature's perfect scroll - grows in a ratio according to the Golden Mean. In humans, the average ratio of the mouth to nose is Phi. Measure your total height and then measure your height just to your navel. Divide the total height by your "navel" heights. The result is be a number close to the Golden Mean. In the lub-to-dub of the human heartbeat, the dub is 1.618 times longer than the lub.

18. Andara SB Golden Mean 14k Andara SB Golden Mean [gm14k] - $1,600.00
cut and etched for Life's Treasures Kauai, this stunning pendant features a Green Andara Crystal / Siberian Blue Quartz laminate, cut and polished to exact Golden Mean geometry.
http://lifestreasureskauai.com/index.php?main_page=product_info&cPath=12_10&

19. Arcoessence Sustainable Contemporary Architecture & Design In Port Macquarie NSW
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/

20. The Mathematical Formula For The Perfect Face
Clear examples of geometry (and Golden Mean geometry) in Nature and matter All types of crystals, natural and cultured. The hexagonal geometry of snowflakes.
http://www.cojoweb.com/phi.html
The mathematical formula for the perfect face!
Sydney June 11, 2004 3:37:38 PM IST
It is difficult to define perfect beauty as the parameters for a perfect face may vary according to individual preferences. However, scientists have narrowed down to a simple mathematical ratio of 1:1.618, otherwise known as phi , or divine proportion, to set standards of beauty. "Only one formula has been consistently and repeatedly present in all things beautiful, be it art, architecture or nature, but most importantly in facial beauty," The Sydney Morning Herald quoted US dentist Yosh Jefferson, who operates a website dedicated to divine proportion, as saying. "Ideal facial proportions are universal regardless of race, sex and age, and are based on divine proportions," he adds. He defines the formula and says, if the width of the face from cheek to cheek is 10 inches (25 centimetres), then the length of the face from the top of the head to the bottom of the chin should be 16.18 inches to be in ideal proportion. If you're keen to see how you measure up, keep in mind that the ratio of phi also applies to: + The width of the mouth to the width of the cheek.

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