There are many species of bees, why are honeycombs hexagonal?

This question may be bothering a lot of peopleThere are so many bees, why are their honeycombs hexagonal, and there are so many shapes, why choose only hexagons. Actually, this is a very simple geometric problem, let's imagine thatUse shapes of the same shape and size to lay a flat surfaceThere can be no gaps in the process of pavingIt is also necessary to lay out the entire surface of the plane without overlapping each otherFlat. Then there are probably only three shapes that we can choose fromThat is, triangles, squares, and hexagons, and the sum of the perimeters required to use a regular hexagon is minimal.

And the honeycomb is made of beeswaxHowever, bees use a lot of energy when producing beeswaxNaturally, they want to save some effortThat is, we usually want to be lazy.

In addition to this, it can also be understood in this wayBees are not as precise as we think when building their nests, they just do their best to make bubble after bubbleWhen bubbles come into contact with each other, such a tension will be created between the bubbles,A hexagonal shape that is naturally formed by the balance of internal pressure.

Moreover, most of the bees can be observed on similar scalesThe bubbles they blow out are about the same size, so the presented hive looks very neat. That is to say,The original appearance of the hive may be that it is circular, just because bees are global animalsWhen there are more individual hives, they are squeezed into this shape.

We can also give an example where we can make some round paper tubesPile enough round paper tubes together, check it out of the paper tube with a spot,The straight tube inside the line naturally forms a hexagonal shape, which has a lot of similarities with bee nestingIn short, the bubbles that bees spit out when they build their nests, they will find a way to have a minimum surface tension, which can be explained as mechanically stable, and in the case of natural selection, this registration method also becomes the instinct of the bees.

Because the same size and shape are used to evaluate an area, there can be no seams or any overlap in the process of paving, only hexagonal.

Because such a bee nest is very strong, it will not be easily destroyed by others, and the temperature inside the nest is protected.

Because the hexagonal shape is very stable, it can be closely arranged together and can also avoid gaps.

At the beginning of the 18th century, the French expert and scholar Malarqi had accurately measured the specifications of the honeycomb and made an interesting discovery, that is, the six corners of the hexagonal socket have the same principle: the acute angle is equivalent to 109 degrees 28 minutes, and the obtuse angle is equivalent to 70 degrees 32 minutes. Could it be that this is also an inadvertent situation?

The French scientist Leomula thus came to the question of whether the honeycomb should occupy a larger capacity in order to better save raw materials.

Leomula consulted König, a Swiss mathematician and member of the Academy of Engineering of the Paris Academy of Sciences. His stats are astonishing. Theoretically, he calculated that it would take minimal raw materials to make a larger diamond-shaped vessel, and its angle of view should be 109 degrees 26 minutes and 70 degrees 34 minutes.

This is only 2 points away from the cellular perspective.

Later, a Scottish mathematician, Mark Laurin, calculated it again, and the result was exactly the same as the perspective of a honeycomb. Later, I found out that the logarithmic table commonly used in König calculation was misprinted!

From the perspective of structural mechanics, the hexagon is the most stable, and several regular hexagons are closely sequenced together, leaving no gap in the middle. The bottom of the honeycomb is a diamond-shaped pointed bottom, and the acute angle of each diamond is 109 degrees 28 minutes, and the obtuse angle is 70 degrees 32 minutes, this special diamond-shaped structure makes the most effective use of raw materials and interior space.

I don't know if you've seen it, but the internal structure of the bee's hive is all hexagonal, and it looks exactly the same, how can it be like that?

If you ever look at a hive, you will notice that it is made up of many nests of the same size. Viewed straight ahead, they are well-ordered hexagons; Viewed from the side, they are regular hexagonal prisms closely arranged together, and the base of each regular hexagonal prism is a culet made of three identical diamonds.

For a cylindrical object, when the force is applied to the top, bottom, left and right sides of its cross-section, the cross-section becomes hexagonal. Therefore, from the perspective of structural mechanics, the hexagon is the most stable, and several regular hexagons are closely arranged together, leaving no gap in the middle.

Originally, the honeycomb was shaped into a hexagonal shape in order to make better use of the least raw materials and make the most advanced housing in insufficient indoor space. Later, in fact, in other places such as buildings, the honeycomb compartment construction also shows great advantages.

The problem that the little honey peak had already dealt with before people could have been solved by a mathematician in the 18th century with high mathematics! That's a lot of fun! Look, the natural world is full of wonders.

Because the hexagonal shape is very special. The hexagonal shape is very stable, which can effectively use raw materials and space, which can avoid damage to the honeycomb and make the honeycomb very safe.

Because this shape is more stable, it can be arranged well, which can be better developed, which is good for the whole colony, and can expand the colony.

Because of this convenience, keep the temperature of the bee's nest at a temperature, so that the honeycomb is more confidential, stronger, and can better put honey.

Because the hexagon is relatively more stable, and it is also better able to build a honeycomb, the hexagonal shape appears.

Here's why bees make their hives hexagonal instead of triangular ones:

First of all, a hexagon is a very stable shape. In a hive, bees need to store large amounts of nectar and pollen, which are very heavy. If the shape of the hive is unstable, it will cause the bees to drop nectar and pollen, affecting the structure of the entire hive.

The hexagonal shape minimizes the deformation and damage of the hive, ensuring that the honey and pollen of the bees do not fall.

Secondly, the shape of the hexagonal laughing Jane maximizes the use of space. In a hive, bees need to store large amounts of nectar and pollen, while also leaving enough space for future youngsters. If the shape of the hive is not reasonable, it will waste a lot of space and affect the production and reproduction of bees.

Thirdly, the hexagonal shape can touch the travel pants to minimize the use of materials. During the construction of a hive, bees need to collect large quantities of beeswax, which is a very precious material. If the shape of the hive is not reasonable, a lot of beeswax will be wasted, which will affect the production and reproduction of bees.

01 From a mechanical point of view, the hexagon is the most stable, and multiple regular hexagons are closely arranged together, leaving no gaps in the middle. The bottom of the honeycomb is a diamond-shaped culet, and the obtuse pure co-angle of each diamond is 109 degrees 28 minutes, and the acute angle is 70 degrees 32 minutes, this specific diamond-shaped structure makes the most efficient use of materials and space.

I don't know if you've observed, but the internal structure of the bee's hive is hexagonal and looks exactly the same, why is this happening?

If you look closely at a beehive, you will see that it is made up of many nests of the same size. From the front, they are neatly arranged hexagons; Viewed from the side, they are regular hexagonal prisms closely arranged together, while the base of each regular hexagonal prism is a culet made up of three identical diamonds.

For a cylindrical object, when the front, back, left, and right sides of its cross-section are compressed, the cross-section becomes hexagonal. Therefore, from a mechanical point of view, the hexagon is the most stable, and multiple regular hexagons are closely arranged together, leaving no gaps in between.

Originally, the purpose of the honeycomb hexagonal shape was to make a state-of-the-art house with a limited amount of space using the least amount of raw materials. Later, it turned out that in other places such as house construction, the honeycomb mezzanine structure also showed great superiority.

Because the bee's nest is a regular hexagon, scientists have proven that the regular hexagonal cherry blossom gap arrangement is the most stable and can maximize the use of space, so it is ingenious.

The honeycomb is strictly hexagonal cylindrical. It has a hexagonal opening at one end and the base of a closed hexagonal pyramid at the other, consisting of three identical diamonds. At the beginning of the 18th century, the French scholar Malaarche had specifically measured the size of a large number of beehives, and he was very surprised that all the obtuse angles of the diamond shape of these honeycombs forming the chassis were 109°28, and all the acute angles were 70°32.

Scientists have exclaimed: "The beehive's hive is one of nature's most amazing and amazing buildings." ”

So, what are the clever features of the honeycomb's structure? A bee hive consists of a number of regular hexagonal hives of almost the same size, which are closely arranged with "walls" made of beeswax in between. In addition to the hexagonal entrance, each hive has a pointed bottom.

In terms of appearance, each hive is a hexagonal prism of almost equal size, with an inverted cone on the base, enclosed by three congruent diamond-shaped faces, and the acute angles of these three rhomboids are all 70°. The area of each bee difference lead room is almost cubic centimeters. These hives are closely connected, arranged parallel to each other and embedded with each other.

This hexagonal tightly knit building structure has a high degree of tightness, requires less materials, and has a large space. At the same time, due to its compact structure, it can withstand more impact than other structures, so it is also very strong. The structure of the hive is of great interest to scientists.

After in-depth research on the beehive, the scientists were surprised to find that the adjacent holes share a wall and a hole bottom, which is very economical in building materials; The orifice is hexagonal, and the body of the bee is basically cylindrical, so the bee does not have extra space in the orifice and does not feel crowded. The structure of the honeycomb was a great inspiration to the spacecraft designers, and they used the honeycomb structure in their development: first the honeycomb was made of metal, and then two metal plates were clamped together to form the honeycomb structure.

This honeycomb structure is strong, lightweight, and good for sound and heat insulation.

There are two main reasons why a bee's nest is hexagonal. First of all, a hexagon is a shape that makes the most of space. Bees need to store enough honey and beeswax in the nest, as well as the space needed to hatch eggs and feed their young.

Hexagons are shaped tighter than other polygons, which minimizes unused space and thus improves space efficiency. Secondly, the hexagonal structure is able to provide maximum structural stability. The honey bee's nest needs to be able to withstand the weight of the nest as well as the pressure of the external environment, and each side of the hexagon can evenly share the pressure, so that the whole nest has maximum shelter stability.

In addition, the angles and sides in the hexagonal structure are equal, which evenly distributes the forces, allowing the nest to better resist external compression and deformation. Therefore, bees choose hexagonal nests as their habitat to maximize the benefits of rolling and lack of space, while also providing the best structural stability.