Essay The Golden Ratio

995 Words 4 Pages
The Golden Ratio


Certain pictures, objects, and animals appeal to the human mind more than others. Proportions and images of symmetry often contribute to our fascination with them. Often, when examined carefully, you may find a common “coincidence” between man made objects and those found naturally in nature. This fluke, however, may be used to ascertain various mathematical relationships between these objects. This paper will introduce the golden ratio and weigh its significance on math, art, and nature.

1.6180339887…. has been given many names varying from the “golden ratio” first coined by the Greeks, to the “golden rectangle” and “golden section”, “phi” named after Phidias a renowned Greek sculptor, as well as the “divine
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The definitive polymath, he had almost too many gifts, including superlative male beauty, a splendid singing voice, magnificent physique, mathematical excellence, scientific daring… (Beckett, 117)

He studied at various places including Milan and Florence and the Vatican. It is in these cities that he became famous. He masterfully uses the golden ratio in the Mona Lisa framing her head as well as the rest of her body parts in exact proportion to the golden rectangle. Furthermore, he goes on in such works as the Vitruvian Man and Virgin and Child with St. Anne to incorporate the golden rectangle into everything he possibly can. He was by no means enthralled in art.

Instead, his great passions were mathematics and the natural world, and he compiled volumes of detailed drawings and notes on anatomy, botany, geology, meteorology, architectural design, and mechanics. (Stokstad, 693)

Toward the end of his life math, particularly the golden ratio, began to dominate everything he created. Leonardo da Vinci died in 1519.

Another painter that used, primarily, golden rectangles was Piet Mondrian. In, Composition with Gray and Light Brown virtually every rectangle has the “pleasing” dimensions.

Still, more possibilities abound. It has been proven that famous composers such as Bach, Beethoven and Bartok have used the golden ratio between intervals of their masterpieces. (Fibonacci…

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