Symmetry in biology is the balanced distribution of duplicate body parts or shape of a living organism. The body or the plan of most multicellular organisms exhibit some form of symmetry, either radial symmetry or bilateral symmetry or "spherical symmetry". A small minority do not show symmetry (asymmetric).
In nature and biology, the symmetry is approximate. For example, plant leaves, and are considered symmetric, rarely match exactly when folded in half.
Why the bee chooses regular hexagon rather than the equilateral triangle, or square to construct the cells of the honeycomb; That is the question! On the one hand 'closed' exactly the level without spaces, container 20 feet but is the only figure with the smallest perimeter. That bee spends less wax to build the cells. Furthermore is the best partition for storing maximum volume meliou.Apodeiknyetai with higher mathematics (calculus container 20 feet changes) that if we want to partition container 20 feet (to divide into smaller segments) a container that contained as much as possible maximum volume in cells partitioning is achieved by selecting canonical hexagons. The bee that knows and higher mathematics!
Of all the normal patterns, those that the bee could use for the construction of the cell is three. The equilateral triangle, the square and the regular hexagon. Only these three geometries "closed" this level without leaving spaces between them. Eg pentagons, the heptagonal, octagonal container 20 feet kl.p not "snap" precisely between. They leave an intermediate space. (Eg, pentagonal and octagonal layout)
Why the bee chooses the regular hexagon and not equilateral container 20 feet triangle or the square? That is the question! We know that the bee in each cell leaves the quantity of honey. Suppose that the required area for each cell is one square unit. If manufactured eg square cuvettes were then these side one unit length, whereby 1 X 1 = 1 square unit. If you would build equilateral triangular cells, what length should have each side of the equilateral triangle that its area is equivalent to one square unit?
From the formula for calculating the area (*) of any regular polygon as to resolve a and area = 1 sq. unit, we find that the triangle will have a side length equal to = 1.52 units of length.
We note that the choice of the hexagonal shape is not random. On the one hand 'closed' exactly the level without spaces, but is the only figure with the smallest perimeter. That bee spends less wax to build the cells.
And continue with something more impressive. The side of the hexagon (= 0.62) than the equivalent side of the square (n = 1) related Golden Section. Indeed the ratio 1 / 0.62 = 1.62 where F = 1.62. The law of perfect harmony in all its glory. The sides of the square that equivalents and hexagon forming the golden rectangle in which the ratio of the sides equal to 1.62 i.e. = z. For the number f course we could develop an entire treatise but not currently. Suffice it to say that all harmonious relationships in nature are determined from this ierokryfio number. container 20 feet The ancient Greeks were the first who had identified mathematically and applied in each artistic creation, sculpture, architecture, music. (Denoted by the letter of the Greek alphabet phi honor of Phidias). And reasonably wonder! Who put these geometrical container 20 feet information in miniscule brain cells this bug?
3. REGULARITY OF FIGURE OF A SNOW NIFADAS
"Watching a snowflake under a microscope noticed that beauty is a miracle and it's a shame it can not be seen by everybody. container 20 feet It is a design masterpiece and no repeated only appears once. Such beauty what a pity to melt and be lost"
He said a farmer of the H. II. A when the microscope and his camera container 20 feet in 1925 captured images of incredible regularity, symmetry and elegance of flake of snow.
Seen with a magnifying container 20 feet glass, the beauty of the snowflake is revealed: a tiny geometric ornament, a
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