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# Holy geometry.

The geometry of the Bezvodovka solar observatory in some way is determined by the terrain of the area, however, at the same time, its mathematical proportions perfectly fit the landscape. The sorcerers/astronomers observed the nature and its phenomena, and knew, or it’s better to say, wot its laws, therefore the mathematics of the harmony of the surrounding world is presented within the observatory’s geometry. The solar observatory of Bezvodovka is not a random group of land mounds but a complex planned in a mathematical way and having its geometry. The evidence of that is the proportions laid by the architects into the observatory’s structure.

As it was said before, the distance between the centre of the complex and the Western distant sight (DS) is 830 m, the distance from the centre to both the Northern and Southern sights is twice as great, 1660 m, and the distance from the centre to the Southern Western and Southern Eastern DS is 3320 m, which is twice as great as the distance between the centre and the Northern DS. There is a distinct regularity expressed: 830*2=1660*2=3320.

The proportion is quite simple. However, the mathematics of Bezvodivka is not limited to that. I cannot express how amazed I was when, comparing the distances between the centre and the distant sights, I discovered the relation of 1.618, that is, the “golden number” F or “golden proportion”.

Euclidis was the first to describe the golden proportion in 300 BC.  However, this proportion, or “harmonic distribution”, as it was also called, was used by the ancient Egyptians in their architecture. After Euclidis, the divine proportion is found in the works of  the Medieval architects and painters, including Leonardo da Vinchi. Let us focus on Bezvodivka again. The “golden number” is presented in the relation of the distances between the centre and the Western distant sight (830 m) and the centre and the second Western DS (1343 m) 1343/830 = 1.618 (in the left picture).In addition, the distance  between the centre and one of the Northern DS (1830) correlates with the distance between the centre and four distant sights that are 2960 meters far from it in accordance with the golden proportion.  2960/1830=1.618 (in the right picture). The movement of the sun, moon, stars and constellations in conjunction with the divine “golden proportion” is taken into account within the design. The proportion is divine, because the nature is based on it: seeds in a sunflower’s heart, leaves on the plant’s trunk, mollusk’s shell, DNA spiral’s curve, human body, spirals of the cyclones in the atmosphere of the Earth and distant galaxies are arranged as the “golden proportion” or “golden” number”. Within the nature, one may also find a “golden angle” which is equal to 137,50 and provides a spiraled, i.e ideal placement of seeds and leaves, so that each following row does not develop in the same direction as that of the previous one and they do not interfere with each other. An interesting and, probably, nonrandom coincidence is that the angle between the azimuth of the rise of the sun on June 22 , the day of summer solstice (490 ) and the azimuth of its set on September 22, the day of autumn equinox (271,50 ) is also a “golden angle” with the value of 137,50. The distant sights of the summer solstice and the spring and autumn equinox mark this angle. The relation between the greater and the lower angles within the limits of the circle constitutes 222,50/137,50=1,618 , the “golden number”.

If one lays Fibonacci’s “golden spiral” over the scheme of the observatory  in a way so that its beginning comes from the centre, the spiral will proceed through a few close sights and then trough some distant sights. Now it is clear why the distance between the centre the Western distant sight is specifically 830 meters rather than 700 or 1000 meters. Fibonacci spiral also explains the distance of 2960 m to some distant sights. Consequently, the entire structure of the Bezvodivka horizon observatory is transfused with the “golden number”. However, it was created long before Leonardo da Vinchi, Leonardo Pisano, known as Fibonacci, and even long before Euclidis,  the “father of geometry”.

You may check all distances and figures. Now raise the most interesting question: “Who required such knowledge and for which purpose?”

Each close and distant sight of the Bezvodivka horizon observatory occupies its place for a reason according to the project planned in a precise way. This project was not designed in course of construction, which is evidenced by its extraordinary complexity consisting in the fact that Bezvodivka encompasses a great number of variables coordinated in a harmonious way. These values are distances between the sights and the geometric figures that they form, which are arranged in a mathematical way by proportions, number F 1,61 and number π 3,14.