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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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.
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.