The mystery of the golden section is revealed by the sunflower and mathematics

<pre>The mystery of the golden section is revealed by the sunflower and mathematics

Mathematician Ben Spark of the University of Bath found and illustrated a new field of application of the principle of harmonic proportion, known as the “golden ratio”. It is relatively easy to realize in man-made objects, knowing the exact coefficients, but it turned out that in nature there are a lot of things that evolved according to this principle.

As an example, Spark cited the arrangement of seeds in a flower of a sunflower – in order to survive, the light-loving plant should learn how to place in a confined space the maximum number of seeds. It does not depend on the size of a specific specimen, the whole point is in principle the germination of seeds in a flower, which is laid down at the genetic level. The sunflower always has a center from which the seeds diverge to the periphery at some interval, forming patterns.

In the models that Spark used, the sunflower filling patterns are constructed from the center with an offset with an equal pitch. The task: to calculate its optimum value, so that in the end there were no voids or overlaps in the flower. But modeling has shown that the problem can not be solved with the help of integers and simple fractions, whereas the principle of the golden section approaches almost perfectly.

That is why the sunflower looks so beautiful, orderly and accurate, because it is such from the point of view of mathematics. The principle that we have learned to understand and measure with the help of our mind, evolution has adopted itself long ago. So, the golden section can be found in other natural structures.

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