Mathematically, the golden section formula is based on Fibonacci sequence. Fibonacci series is an increasing series, in which each number is the sum of the first two numbers. In the golden section, the ratio of the third number to the fourth number of Fibonacci sequence, that is, 3 divided by 5, is about 0.6 18.
The golden section is widely used in the field of art and design, because it is considered to be an aesthetic and balanced proportion. For example, in painting, artists can use the golden section to determine the layout and composition of the picture; In architectural design, the golden section can help designers determine the proportion and size of buildings.
In addition to art and design, the golden section is also used in other fields. For example, in nature, the arrangement of petals and leaves of some plants is related to the golden section; In the scientific field, some natural phenomena and physical laws can be described or explained by the golden section.
The formula characteristics of golden section point;
1, unreasonable
The golden section is about 0.6 18, which is an irrational number and cannot be expressed by any integer or fraction. This irrationality makes the golden section have unique aesthetic value in mathematics, and it is also widely used in art and design.
Step 2 balance
The golden section formula embodies the concept of proportion, that is, the longer line segment is the median of the proportion between the shorter line segment and the original line segment. This proportionality makes the golden section point instructive in determining the layout and composition of images or objects, and can create works with aesthetic feeling and balance.
3. General
The golden section formula is not only suitable for simple line segments or figures, but also can be extended to more complex scenes. For example, in nature, the arrangement of petals and leaves of some plants is related to the golden section.
In the scientific field, some natural phenomena and physical laws can be described or explained by the golden section. This universality makes the golden section a universal aesthetic standard, which is widely used in various fields.