An interpreter of beauty or a ruler of its manifestations? 

Is mathematics a human invention or a major component of nature?

Mathematics explains many of the beauty around us. However, its ability to explain these manifestations leads us to wonder whether it is an explanatory tool produced only by our minds, or is it a founding law of nature.

Nature has a breathtaking beauty that is evident in its charming patterns that are consistent in repetition, as if they follow a law governing their appearance in this way. These patterns are seen in waves, tree rings, hives, blood vessels and snail snails. And the laws of mathematics can explain and describe the beauty of nature.

And we know that mathematics is a tool created by humans to describe the world around them. But if these recurring patterns are the product of mathematical laws, then mathematics really did exist long before humans invented it, according to Sam Barron, professor of philosophy of science at Australian Catholic University.

Is mathematics a tool that explains beauty or is it the reason for it?

According to the report published by Science Alert , "If mathematics is the explanation for many things around us, then it is unlikely that mathematics is a tool of our own making." In contrast to the central view that celebrates our mental creativity, if we view mathematics as an essential component of nature that has given the world around us a distinctive structure, we will better understand ourselves rather than celebrate our creativity.

Nature governed by numbers

The mathematical explanation of nature goes back to the Greek philosopher Pythagoras (circa 575-475 BC), who considered mathematics one of two languages ​​ - that could explain the universe around us.

Two thousand years later, scientists are still busy figuring out how and where these patterns appear. These patterns take repetitive forms that repeat themselves over and over again, even if they are getting smaller and smaller, as in cauliflower or in tiny capillaries that repeat the shape and branches of larger blood vessels.

These iterations are known as " fractals "; It is a name coined by the mathematician Benoit Mandelbrot. Fractals are geometric shapes that repeat their distinctive geometry as they get smaller, creating an infinite self-similarity between their structural units.

These repeating patterns are found in snow, river networks, flowers, trees, lightning bolts, and in our blood vessels. Its magic is that it possesses the secret of how simplicity generates complexity.

Math tracking insects

The bees build their hexagonal hives - repeating the pattern - in a way that provides the largest storage space and uses the least materials; It is the mathematical theory known as " conjectural Honeycomb " (Honeycomb conjecture).

Also, some species of cicadas have a life cycle governed by primary numbers, as new swarms appear every 13 or 17 years. Scientists believe that this regular rhythm of emergence protects them from predators.

It is mentioned that nature also prefers the "Fibonacci sequence", where each number in the sequence is the result of adding the two preceding numbers. You see Fibonacci sequences in sunflower seeds, pine cones, and in pineapples.

Spiral galaxies and Nautilus shells also grow following the principles of a "logarithmic" curve every quarter, known as the base of the Golden spirals.

New styles

Despite these mathematical patterns observed everywhere in nature, the relationship between mathematics and nature runs deeper than that, which is what we are just beginning to understand.

In the earlier in 2021, they discovered the researchers , who described a style previously that the law of nature is Almarov- responsible for the formation Pointed group shapes that appear in nature , such as shark teeth and tusks the spider and beaks of birds and dinosaurs centuries.

Alistair Evans, an evolutionary biologist at Monash University in Australia and the leader of the above study, notes that there is an "amazing diversity of animals and plants that follow this rule." "We found this rule in all life forms that we looked at, even in animals that became extinct millions of years ago," he says.

It is noteworthy that in 2015 scientists found a representation of the mathematical value "pi" (π), which is the constant ratio between the circumference and diameter of a circle, which is approximately 3.14 - for the first time in the world of physics, and it was latent in hydrogen atoms. Hence, these examples bring us back to the very idea that mathematics provides the structural framework upon which the physical world is built.