The Formula of a Beauty
How much artists, poets, sculptors, true connoisseurs of the beautiful admired with beauty of the human body! The ingenious French sculptor Roden asserted: "The naked body seems to me fine. For me it is a miracle, where there can not be nothing ugly".
The Russian philosopher Krukovsky in his book "Homo pylcher" writes:
"Contemplating the perfect, fine human face and body we come unintentionally to the thought about some latent, but obviously felt mathematical refinement of their forms, about the mathematical regularity and perfection of their curvilinear surfaces!"
In 1912 in El-Amarn (Egypt) the Egyptian sculptor Tutmes workshop was dug up. The sculptural portrait of the Ancient Egyptian queen Nefertiti (what means in translation from the Ancient Egypt language "The beautiful woman is coming") was in it. This portrait is considered rightfully as symbol of the women face beauty.
In 1974 the Russian artist Jury Raksha created the picture "Harmony", on which the face of some girl who douse not yield to Nefertiti by its beauty.
The great creations of the Greek sculptures Fidij, Policlet, Miron, Pracsitle are considered as the standards of human beauty, as the samples of a harmonic body. In their works they used the principle of the golden proportion.
Dorifor's statue created by Policlet is considered as the highest achievements of the classic Greek scul[ture. The figure of the young man expresses the unity of beauty and valor underlying the Greek art principles. The statue is full of quiet confidence, harmony of lines; balance of parts embodies a power of physical force. The broad shoulders are almost equal to the altitude of the trunk, the altitude of the head is packed up in the altitude of the body eight times, and the golden proportion corresponds to the belly-button on the athlete body.
Afrodita's sculpture created by Agesandr is considered as the masterpiece of woman's beauty. The Russian poet Fet wrote about it the following verse:
And delightfully and boldly
Already millenaries the people attempt to find mathematical regularities in proportions of human body. During many centuries the separate parts of the human body served by units of length. So, the ancient Egyptians had three units of length: the elbow (466 mm) equal to seven palms (66,5 mm), the palm equal to four fingers.
Also in the Ancient Egypt the length of foot is considered as the unit of body measurement. Thus the man altitude averaged 7 lengths of its foots. Pursuant to the aesthetic canon of the Greek sculptor Policlet the head length served by the unit of body measurement; the body length should be equal to eight head lengths.
The golden proportion takes a leading place in the art canons by Leonardo da Vince and Durer. Pursuant to these canons the waistline divides the human body into two unequal parts by the golden section. Besides the altitude of the face (up to the hair roots) falls into the vertical distance between the brow arc and the chin bottom as the distance between the nose bottom and the chin bottom falls into the distance between the lip line and the chin bottom; this ratio is equal to the golden proportion.
Man's fingers consist of three phalanxes: main, mean and nail. The length of the main phalanxes of all fingers except for the large finger are equal to the sum of lengths of two remaining phalanxes, and the length of all phalanxes of each finger relates to each other according to the rule of the golden proportion.
Repeatedly the attempts were undertaken to create the idealized standard model of the human body developed harmonically. It is known, that the span of man's arms outstretched to different sides is equal to man's altitude; owing to what man's figure is inscribed entered in a square and circle. The ideal figures built by Leonardo da Vince abd Durer are well known. For a long time already there is an opinion, that the "pentagonal" or "five-radial" symmetry shows in the constitution of human body. And the human body can be considered esteemed as the five-radial one, where the head, two arms and two legs are the rays. In this connection many researchers of the human body mathematical regularities inscribed the man into the pentagram. Such model was reflected in Leonardo da Vince and Durer's constructions.
We consider now the "inventory" of the human body. It consists of one trunk, one head, one heart etc.; many parts of the body are pair, for example, arms, legs, eyes, buds. Legs, arms, fingers consist of three parts. On the arms and the legs we have five fingers, and the arm together with fingers consists of eight parts. the man has 12 pairs of ribs (one pair was atrophied and is present now as rudimentary organ). Apparently in the past the man had 13 ribs but during evolution in process of passage to upright position a number of ribs decreased.
The constitution of man's hand is characteristic. The hand consists of three main parts: wrists, metacarpus and fingers. 8 bones enter to the wrist structure; the wrist is connected to 5 metacarpal bones, which form the basis of the palm. 5 fingers are connected to metacarpal bones. Each finger consists of three phalanxes: main, mean and nail. Man's backbone consists of 34 vertebras.
We can see that Fibonacci numbers from 1 to 34 are present in partitioning of the human body. Note that the total number of the human body bones is close to 233, that is, responds to Fibonacci number.
But Fibonacci's is characteristic not only for bones. For example, man's brain consists of seven parts: a cortex, calloused corpus, cerebellum, cerebral ventricle, brain, oblong brain, and pituitary gland. In the basis of the brain one may select 8 parts executing miscellaneous functions. In man's body there are 8 different endocrine glands. The intestine and adjacent with it organs (stomach, liver, gall bladder etc.) make in the sum 13 organs. The respiratory man's organs consist of 8 parts. The liver also consists of 8 parts; the buds consist of 5 parts, and the heart consists of 13 parts.
This list of man's organ parts based on Fibonacci numbers would be possible to continue. Whether is this incidentally? Most likely, no. The man, as well as other creations of the Nature, is subjected to the overall laws of development. It is necessary to search the roots of these laws deeper in the constitution of cells, chromosomes, genes, and further in originating the life on the Earth.