Mirror symmetry and a sense of beauty

As we know from a school course of geometry, symmetry can be one of three types: a central, axial symmetry with respect and a plane.Central symmetry is called the object relative to the point (the simplest example - any circle), axial - symmetry with respect to a straight line, and the last kind of proportionality (relative to the plane) is known to us as mirror symmetry.

geometry mathematics give us clear criteria by which we can clearly identify which object can be regarded as balanced, and what - no.However, apart from the boring language is another parameter that person produces virtually error-free - that's the beauty.

ancient Greeks noticed that a symmetrical objects inherent harmony and beauty.German mathematician G. Weil once wrote his "Sketches of symmetry", which argues that the symmetry and beauty are closely closely related.According to him, what is considered balanced, it has good-value ratios, and she symmetry - a special type of coherence of the whole.

Mirror symmetry in geometry often we associate with regular polygons, but if you look closely, these figures are quite common in nature.Some of them can be seen in the form of crystals, other - as protozoa or viruses.

Mirror symmetry is very common in architecture.It is present in all the buildings of ancient Egypt and ancient Greece temples, amphitheatres, basilicas and triumphal arches Roman, Renaissance churches and palaces, as well as many works of contemporary architecture.

mirror symmetry in nature is typical for plants and animals that move or grow in parallel Earth's surface, and is often found in the form of a reflection in the water surface area rivers, lakes, etc.A striking example is its colorful butterfly wings pattern which coincides with amazing accuracy.

And now turn our attention to the man.Why do some people have a reputation by written handsome and others completely devoid of human attraction?British scientists led by evolutionary biologist William Brown set out to get the exact answer to this question and conducted the study, which was attended by 37 women and 40 young people (a detailed report was published in the edition of PNAS).Initially, scientists using the scanner created a three-dimensional three-dimensional model of the body of each of the participants in this test.The researchers then 24 parameters determine how accurate mirror symmetry of each model.After that, each volunteer was asked to assess the attractiveness of members of the opposite sex.

result has dispelled all doubt.The experiment confirmed that the mirror symmetry of the body has a direct effect on human beauty.And this is true for both men and women.

Which it can be concluded?Ideals of beauty change, but at the same time remain the same - the reason lies in the attractiveness of symmetry.And this is true for everything that surrounds us in this amazing world.