Golden Number
The golden ratio, golden number, golden number or golden ratio is an irrational algebraic real constant denoted by the Greek letter phi (PHI), in honor of Phideas sculptor (Phidias), that would have used to design the Parthenon, and the value (1.618033989 ...) rounded to three decimal places of 1.618. It is also called the golden section (from Latin sectio aurea), golden ratio, golden ratio, average and extreme right (Euclid), divine proportion, divine section (from Latin sectio divina), proportion in extreme right, extreme right or division golden excellence. The number of gold is still often called because of Phidias.
Since antiquity, the golden ratio is used in art. Often their use in Renaissance paintings, such as the master Giotto. This number is involved with the nature of growth. Phi (not to be confused with the number Pi), is called as the number of gold can be found in the proportion of shells (nautilus, for example), humans (the size of the phalanges bones of the fingers, for example) and hives, among numerous other examples involving the order of growth.
Just to be involved in growth, this number becomes so frequent. And just for having this frequency, the number of gold gained a status of "almost magical" being targeted by researchers, artists and writers. Despite this status, the number of gold is only what is due to the contexts in which it appears: is involved in biological growths, for example. Being found through mathematical development is what makes it fascinating.
How is a number taken from the Fibonacci sequence, the golden number represents a steady growth directly.
The golden number is approximated by dividing the nth term of the Fibonacci series (0, 1,1,2,3,5,8,13,21,34,55,89, ..., where each number is the sum of the two preceding numbers in the series itself) the previous term. This division converges to the golden number as we increasingly.
Why is this number so appreciated by artists, architects, designers and musicians? Why the golden ratio, as the name suggests, is present in nature in the human body and the universe.
This figure, as well as others, for example Pi are present in the world by a mathematical ratio existing in nature.
This sequence appears in nature, the DNA, the behavior of the refraction of light, the atoms, the sound vibrations in the plant growth in spiral galaxies, the tusks of elephants, the waves in the ocean, hurricanes, etc.Por that number is so appreciated by artists, architects, designers and musicians? Why the golden ratio, as the name suggests, is present in nature in the human body and the universe.
This figure, as well as others, for example Pi are present in the world by a mathematical ratio existing in nature.
This sequence appears in nature, the DNA, the behavior of the refraction of light, the atoms, the sound vibrations in the plant growth in spiral galaxies, the tusks of elephants, the waves in the ocean, hurricanes, etc..
Examples:
1) If you divide the number of female bees by the number of male bees in any beehive in the world, will always get the same number: PHI, 1.618.
2) A flower sunflower kernels. Sunflower seeds grow in opposing spirals. The ratio of each revolution to the next is 1.618, PHI.
Leonardo Da Vinci was the first to demonstrate that the human body is literally made of components whose proportional ratios always equal PHI.
3) If you divide the distance from the top of her head to the ground, then divide the result by the distance from the navel to the floor, you get 1.618, PHI.
