'Geometry has two great treasures: One is the theorem of Pythagoras, the other the … Golden Mean. The first way may be compared to a measure of gold, the second to a precious jewel.'—KeplerThe newspaper you're reading, the screen of your computer, your credit card, the petals of that flower, the leaves of that tree, the building across the street—everything is governed by a principle, a proportion, a harmonic value. The universe seems to whisper acode to us in each corner of nature, a unique and harmonically aesthetic code: the Number of Gold, the Divine Proportion.Behind the apparent chaos that reigns in the universe, in which each event and measurement logically follows an uncertain destiny, there nevertheless exists a hidden order.
From the
time of Pythagoras, the key to this order—which has intrigued so many
mathematicians and scholars of various branches of knowledge—has never
been fully understood.
A contemporary experiment
involving several individuals of different ethnic backgrounds
demonstrated that among a sample of several rectangular figures, nearly
every person agreed on which one was most harmonic.
This harmonic
figure is formed when the ratio of the greater side over the smaller
side equals 1.618—the number known mathematically as"gold" or
"golden." This rectangular proportion is found in thousands of
architectural examples around the world, as well as in match boxes,
business cards, books, and hundreds of other daily objects, merely
because humans find it pleasing. The Great Pyramid of Giza and the
pyramid of Cheops, the seat of the United Nations in New York, and the
cathedrals of Notre Dame all embody this golden proportion. In fact,
the Greek Pantheon seems to be an ode to this proportion.
For centuries, the absolute
expression of artistic beauty and human wisdom (with the exception of
some contemporary trends) has never strayed far from this golden mean.
Several artists of the Renaissance incorporated the golden mean in
their works, not least of whom was Leonardo da Vinci, who used this
proportion in well-known pieces such as "the Last Supper" and"The
Vitruvian Man.......
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