Known also as the Golden Number, it is defined as the ratio of the golden section, or better known as gold proportions. Since its discovery, this number has been widely considered to be a representation of universal laws of harmony, and beauty in all forms of expression. The performance of the stock market, the development of certain species, the variance of leaves on a single stem, the positioning of pedals and seeds in certain flowers, are all often responding to the numeric system similar to that of Fibonacci.
The nautilus, a large mollusk whose shell is divided into sections forming a perfect spiral, attests to the claim that the golden section is the mathematical express of natural beauty and elegance. The golden proportion was well known and used by the ancient greeks as a harmonic ration in architecture. We can also trace it back to the Parthenon in Athens, the Pyramids in Egypt, and many famous sculptures. The Golden Ratio was also very popular during the Renaissance: the dimensions of the world’s most celebrated painting, The Monna Lisa by Leonardo Da Vinci, correspond exactly with the Golden proportion.
And still today, modern architecture, such as the United Nations building, are erected based on the same proportions. The Fibonacci sequence is likewise represented in music, examples including Bach’s Fugues, Mozart’s Sonatas, Beethoven’s 5th symphony. Schubert uses it in his 959 Sonata in D Major, and the greatest example of the Golden Proportion being used on a vast scale is probably in Stravinsky’s The Rite of Spring.