Why is symmetry considered beautiful?

Symmetry usually refers to the one-to-one correspondence between figures or objects in size, shape, and arrangement to a certain point, line, or plane.

In mathematics, certain related or opposing concepts are often regarded as symmetries.

When beauty and symmetry are closely linked, "symmetry beauty" becomes an important part of mathematics.

"The beauty of symmetry" is a broad topic that is of great significance in both art and nature, and mathematics is its fundamental basis.

Symmetry itself is a kind of harmony and beauty.

In the rich and colorful material world, we can often encounter examples of perfect symmetry in the shapes of various objects: spirally symmetrical plants, after rotating to a certain angle, can translate along the axis to coincide with their initial position;

The leaves are arranged in a spiral along the stem, extending in all directions so as not to block each other from the sunlight necessary for survival.

They attract attention and are pleasing to the eye.

Every flower, every butterfly, every shell fascinates; the architecture of the hive, the arrangement of seeds on the sunflower, and the spiral arrangement of the leaves on the stem of the plant amaze us.

Careful observation shows that symmetry is inherent in various examples mentioned above. It is one of the basic forms of nature, from the simplest to the most complex manifestations.

"Symmetry" in biology means that organisms have the same structure in corresponding parts, which is divided into bilateral symmetry (such as butterflies) and radial symmetry (radiation larvae, sunworms, etc.).

The earliest snowflakes recorded in my country were in the shape of a six-pointed star.

In fact, the shapes of snowflakes are all kinds of strange, but they never change away from the basic shape (hexagonal). It is both centrally symmetrical and axially symmetrical.

The flowers are characterized by rotational symmetry.

The flower rotates around the center of the flower to the appropriate position, each petal will occupy the original position of its adjacent petal, and the flower will overlap itself.

The smallest angle that reaches self-coincidence during rotation is called the element angle.

These angles appear at different angles depending on the species of flower.

For example, plum blossoms are 72° and daffodils are 60°.

Many plants are spirally symmetrical, that is, after rotating at a certain angle, translation along the axis can coincide with their original position.

The leaves are arranged in a spiral along the stem, extending in all directions so as not to block each other from the sunlight necessary for survival.

This interesting phenomenon is called phyllotaxis.

The spiral arrangement of sunflower inflorescences or pine cone scales is another form of phyllotaxis.

Russian scholar Fedorov said that "crystals sparkle with symmetrical brilliance". No wonder in fairy tales, wonderful gems are always intertwined with warm illusions, exquisite, graceful and luxurious.

In the king's crown, gemstones also show their enduring charm to the world with their sparkling brilliance.

People have unique symmetrical beauty, so people often look at nature based on whether it conforms to "symmetry", and have created many beautiful "symmetrical" artworks, such as clothing, sculptures and buildings.

We say that for people, symmetry is not only external beauty, but also a need for health and survival.

If a person has only one eye, not only will the field of view be reduced, the judgment of the target distance will be inaccurate, but the perception of the shape of the object will also be distorted; if one ear is deaf, the positioning of the sound source will be distorted.

Inaccurate.

For those animals that rely on hearing to survive in the wild, once they lose the ability to locate sound sources, their lives will be threatened at any time.

For flowers, if the corolla develops without symmetry, the stamens lose their ability to be pollinated, leading to the extinction of the species.

Aristotle said: Although mathematics does not explicitly mention goodness and beauty, goodness and beauty cannot be completely separated from mathematics.

For the chief forms of beauty are order, symmetry, and certainty, and these are the principles studied in mathematics.

We should strive to discover and explore the beauty of symmetry.

As a physicist said: If a theory is beautiful, it must be a truth.

The beauty of symmetry also provides scientists with unlimited room for imagination. By studying it, they can further understand the nature of life activities and discover more beauty that exists in nature.