The Golden Ratio

Golden Ratio Some paintings, objects, animals are more attractive to humans than others. Symmetrical proportions and images help us to get absorbed in them. In many cases, after careful examination, we can see that there is a common "match" between artificial objects and objects found in nature. However, you can use Fluke to determine the various mathematical relationships between these objects. In this article, we introduce the golden ratio and compare the importance of mathematics, art, and nature.

The Golden Ratio plays an important role in the pentagonal geometry. Each intersection of the edge divides the other edges by golden ratio. Furthermore, as shown in the four-color diagram, the ratio between the length of the shorter segment and the segment defined by the two intersecting edges (the pentagon's side at the center of the pentagram) is φ. Golden diamonds are diamonds diagonally opposite the golden ratio. A rhombohedron is a convex polyhedron with very special properties: all sides are golden diamonds. In a rhombic trihedron, the dihedral angle between two adjacent rhombuses is 144 °, which is twice the isosceles corner of the golden triangle, four times the sharpest angle.

In 1859, the pyramidist John Taylor claimed that in the Great Pyramid of Giza, the golden ratio is expressed as the ratio of the angle of inclination θ of the face length to the angle of inclination θ of the ground, corresponding to the angle θ . Secant The above two lengths are about 186.4 meters and 115.2 meters respectively. The ratio of these lengths is the Golden Ratio and is more accurate than the original measured value. Likewise, according to Matila Ghyka, Howard Vyse reports that the height of the pyramid is 148.2 meters, the half height is 116.4 meters, and the ratio of the height of the slope to the half base is 6189. This is also more accurate than data change.

The majority of the error message comes from a book by German psychologist Adolf Zeising in 1855. Zeising argues that the proportion of the human body is based on the golden ratio. The Golden Ratio created various theories about "golden rectangle", "golden triangle" and the sudden appearance of these symbolic dimensions. Since then, people said that the golden ratio can be found in many of the Giza pyramids, Parthenon temple, Leonardo da Vinci Vitrubians, and Renaissance style buildings. Mr. Devlin said the main claim that this ratio is "unique and comfortable" to the human eye is not strictly explained.