with the manifestation of this effect as the "golden section", it seems, almost everyone experienced in childhood.If we are guided by this principle, cut off from a rectangular sheet of paper smaller rectangle, make sure you get a figure with exactly the same aspect ratio.This, in fact, is the most simple content of the principle of the golden section.A more scientific definition is that the golden ratio is a continuous operation of division of a certain magnitude into 2 parts in such a proportion that the smaller part applies to most as large refers to the whole quantity.
history of this pattern is quite high.Even in ancient times the first mention of it occurs in Euclid in his famous work "The Beginning."Euclid uses this rule for the construction of some geometric shapes.The pattern was so widespread that in the time of Leonardo da Vinci has been called "divine proportion", and the term coined Martin Ohm in 1835.
Indeed, the prevalence of this phenomenon is simply amazing, some people do tend to "see" the signs of the golden section in the whole world around them, and even in everyday events.The situation was even ironic joke about this, stating that many people find it possible to detect the presence of signs of the golden section everywhere and in everything.
Visually reproduce the effect of geometric proportions.The golden section, for example, is used in the correct five-pointed star, it manifests itself by the fact that each segment connecting the points of the star each other, divided by another crossing its segment, according to the rule of proportion.
Golden Ratio is widely represented in works of art and sculpture, common in architecture.In these areas, it is generally understood by certain asymmetrical design or a composition which contains a proportion of the cross section.Moreover, it is not always possible to express the essence of the whole structure mathematically.
is believed that objects and objects that include items that contain the golden ratio are perceived as the most harmonious and attractive.But this is not always the case, because it may just be a coincidence, or an error of perception.For example, it is assumed that the proportions of the famous pyramid indicate that the Egyptians used these relations.Signs of some proportions sectional find even in music.For example, some researchers argue that these principles are built entirely of music of the Baroque era, including works by the great Beethoven, Bach and Mozart.
There are many examples that show evidence of "pros" and "cons" evidence of the presence of the golden proportion in a particular sphere of human activity.However, it must be recognized unambiguously that the golden ratio in nature spread widely enough, it just needs to "see".
astronomer Johannes Kepler called this proportion treasure geometry, and saw its manifestation in botany - an example of the structure and growth of plants, preserving the aspect ratio set at growth.German researcher Zeising measurements made in 2000 of human bodies and established a pattern of division of the body point of the navel in proportion to the golden section.The lizard looked through the familiar proportions of the eye - the tail and the rest relate to the length of the body in proportion 62 to 38. As can be seen, and in the plant and animal world is seen quite clearly a trend towards forming, containing the signs of the golden ratio.
Nature as it divides itself according to the rules of symmetry and the golden section.
