Phi - The Divine Proportion

Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians.
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the diagram shows how many triangles are arranged
Harmonics 55, 37 & 73, Pyramids, Phi and the Pythagorean Tetractys
Harmonics 55, 37 & 73, Pyramids, Phi and the Pythagorean Tetractys
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Aesthetics in Golden ratio
an info sheet with information about fibonaci number 1 and the numbers on it
FUCK YEAH FIBONACCI!
Fibonacci
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In 2010 an international team of scientists discovered the divine proportion in the quantum world. Researchers created a chain, one atom wide, of linked magnetic atoms and tuned the system to the “Schrödinger’s cat state” of quantum uncertainty They discovered that in that state the frequencies of the atoms’ spins resonated in the golden ratio.
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The Great Math Mystery
the golden ratio 1 - 18b is shown in an image with red petals and yellow background
The Golden Ratio ( 1 : 1.618 )
The Perfect / Golden Ratio of 1:1.618 is what occurs in everything in Nature -- from the human anatomy, to a nautilus shell, butterflies, insects, plants and flowers. Architects used it (π / Phi) from Parthenon to Pyramids, and Renaissance Artists like Leonardo da Vinci used it for the Composition of the Mona Lisa. In the flower of Stapelia schinzii, the Corolla lobes and the inner and outer Corona, when used to illustrate this Nature's Divine Ratio, all conform to this fact as the sketch shows.
an image of a mouse in the shape of a pie chart and a drawing of a rat
During the human embryo development, the human embryo gradually unfolds itself in a such way that it is exactly similar to the the golden spiral unfolds itself as it spins farther away from its center. 💕 The heart of a human fetus is located on the center of the golden section.
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The magic of Fibonacci numbers
Arthur Benjamin: The magic of Fibonacci numbers | Talk Video | TED.com
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The Math Mystery: Mathematics in Nature and Universe - Documentary
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Fractal Spiral-form seen in a South American cactus
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The Electric Sun (The Golden Ratio)
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Studies have indicated the more closely a face adheres to the Golden Ratio, the more it is universally considered beautiful
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Golden Ratio, Golden Mean, Golden Section, Divine Proportion, Phi
Golden Ratio, Golden Mean, Golden Section, Divine Proportion, Phi