The Balance of the Universe What is the Golden Ratio?

What the Computer World Taught

I met computers when I was in high school, in Kuleli, I think it was 1984. I liked the computer, you type some commands via the keyboard, press the run button, the computer does whatever command you give in the program. How beautiful, how easy. You feel like you're dominating.

The previous year, we were making some circuits in the electronics arm, there was a similar study there, in fact, we were preparing a circuit, for example, the lamp of the circuit you made would light up, it would make a sound, or, I don't know, we even made an FM radio receiver with the possibilities of that time. But the computer was different, you gave commands directly to the computer, and it did whatever you wanted according to the command. Of course, there was a limit to the commands you could give, there were no commands you could do whatever you wanted, but it still seemed interesting to me. That's why, while my friends mostly liked to play games with computers, I was busy writing programs. They were very simple computers anyway. Even for a small simple program, you had to struggle a lot.

Over the years, computers have developed, a lot of ready-made programs have been produced, there is no point in writing programs anymore, but the computer has always preserved its special place for me in those days.

For example, drawing programs are out. The most famous is AutoCAD, Automated Computer Aided Design, translated into Turkish as "automatic computer aided design" program. This is a drawing program that is widely used in our profession. With this program, you draw some shapes and various lines on the computer screen with the help of various commands added to the program. So you can produce construction drawings with this program. Then you print your drawing on large sheets of paper.

In the years when I started working, we started to draw projects with this program in the office. Now those tedious drawings made by hand were gradually abandoned. Although I did not draw directly, I was giving technical support to my friends who were drawing in the office because I knew the program well.

Nowadays, they have produced brand new programs that work with the main codes of this program or similar program codes, drawings can be made much more easily compared to the past. Programs have been produced that can analyze the entire structure, cast all kinds of materials, plan the construction stages of the work, get the financing details, and process everything on the same system in more than one branch. In short, it is now possible to produce projects on any subject from a to z with the program.

But at that time there were early versions of the program, not many commands were produced in the program yet. With simple commands, you could draw lines on the screen as if you were drawing on tracing paper with just a pen. One line this way, one line this way. A circle here, an ellipse here. But the most different thing from paper was the copy command. When you spend time and draw a part of the drawing, you can produce a whole layout much faster than drawing by hand by copying it to another place and making the necessary corrections on it. My favorite feature on the computer was this copy command. The computer could simply repeat something you would get tired of doing all the time, simply because you wanted it. Copying is a nice feature. Although, if you are not careful, some unwanted places may remain in the drawing you copied and errors may occur. So, every new thing has advantages as well as disadvantages.

Back then, I used to like to make some shapes myself on the computer with this copy command. I would draw a random line first on that blank screen of the program. Then I would produce a bunch of beautiful shapes with the flat copy or circular duplication commands. You can easily produce very interesting shapes.

World of Rules

Now I think about how interesting our brain works, what we can produce by starting with a single line and following certain rules. We set the rules, one line, first make five straight copies, spaced this far, then circularly copy them all, ten copies. Then copy all five times at regular intervals, then circularly copy again. If you continue like this, you end up with an exquisite shape.

Sometimes I think, maybe nature works the same way. We can say one thing, maybe a scrap of matter, maybe a bit of energy, maybe energy means just a vibration, scientists haven't quite decided what it is yet, but anyway, now and some replication rules.

We determine the rules in the computer, who set the rules in nature, is it the supreme creator? Who knows, maybe. Deep topic and doesn't have an answer yet. Perhaps it will never be found. After all, time is a concept that can stretch, even that has not been fully understood. Like I said deep stuff.

In fact, it would be more accurate to say that we have produced the rules in mathematics, that is, we have some presuppositions. Adding one and one makes two. Addition is also an admission. But it is a presupposition designed to explain an existing fact. Just like the concept of existence and non-existence. The existence or non-existence of something is actually an admission.

Anyway, if we get into the philosophy of this business, we can't get it right now. The important thing is the existence of rules in nature. Everything we see around us has been produced with some rules, maybe it has reproduced on its own. Everything is probably scraps of energy copied side by side, some cyclically copied side by side, some straight copied, when you think about it, there are billions of different possibilities about what can be produced with these rules.

In fact, all the rules in nature have not yet been fully revealed. I mean, as a result of all the experiments that have been done for centuries, when a substance reacts with another substance, why and how, what kind of feature emerges, why a yellow colored thing is formed when a blue colored liquid is mixed with a red colored liquid. not yet. Still, new and very interesting properties can be observed by making chemical mixtures. Many substances are still being studied to understand why, and something new is being discovered almost every day.

The Rules of Nature Don't Change

Scientists have even succeeded in splitting the atom with their experiments, they have found subatomic parts, but they have not yet fully understood the laws of nature. They are still studying the world of particles at the quantum level. It is still thought that there are four fundamental forces, but a single formula for everything has not yet been deduced. Maybe one day everything will be understood and then it will be understood why and what features it takes. Then, perhaps, new substances with desired properties can be designed and created in advance. But for now, there's only one thing we're sure about, everything happens in accordance with some rules, that's for sure.

If these rules can be fully understood, I think that the design of new new materials will be possible one day in the future.

In fact, a lot of technological new materials have already been produced using rules that can be solved and understood. These new materials do not exist in nature, they were produced by human hands. How weird, is not it? We are also a part of nature and we say that something we produce is not natural, when you think about it, this is actually a paradox.

Yes, nature has some rules.

The most important one among the rules of nature is the golden ratio rule. Sometimes there is a natural rule called the golden ratio in the shapes of plants, the structure of the petals of flowers, the shells of snails, the shell of a turtle, and many other things. It's a rule of harmony. This ratio has been known as the ratio that provides the best harmony in art and architecture since ancient times. The secret of perfection in the works of Leonardo da Vinci is actually hidden in the golden ratio.

So what is this golden ratio?

In mathematics, if we continue to produce the next number by adding the previous two numbers, starting with zero and one, as these consecutive numbers grow, the ratio between two consecutive numbers approaches the golden ratio I mentioned. It may sound a bit complicated, but I'm talking about a simple addition. As a result, as the numbers grow, the ratio between them becomes very close to the golden ratio. But since this series of numbers does not end, that is, it extends to infinity, the golden ratio does not have an exact equivalent. In other words, like Pi number and Euler number, this golden ratio number has no mathematical value, it goes on forever after the comma. This number is represented as (fi) in mathematics. It is possible to find this ratio among the parts of all living and non-living beings in nature.

So why? Why did nature choose to use this ratio, not another number? Let's try to understand.

The sequential numbers I mentioned that we generate additively are known as Fibonacci numbers in mathematics. Leonardo Fibonacci is one of the greatest mathematicians of the middle ages. He is a great thinker who laid the groundwork for classical period mathematics with his studies. Although the golden ratio is not a number with an exact value, it appears based on this rule of succession. On the other hand, it is an important rule of nature. It's a very interesting situation indeed.

I think I can develop my own approach to this interesting situation. Since a new Fibonacci number is produced by the sum of the last two numbers produced in the series, we can say that it is produced based on past accumulations in a sense. By using its past savings, nature produces a new asset that is different from what it has produced before, in other words, the golden ratio means the ratio of the new to the past savings. Could this be an explanation? Maybe that's the real explanation.

Conclusion

After all, I think rules are important. With the chain of rules that we adhere to throughout our lives, we are able to base our past experiences and generate new ideas. In other words, new ideas, in a sense, depend on the golden ratio rule.

That's why I think we should pay particular attention to our cultural background. We should look at our culture as our eyes. We must pass it on to our future generations as much as possible.

If we want to come to a place as a country, if we want to have a place in history, it is important that we protect our culture. If it is important to live life in a meaningful way individually, I think we should all base our past experiences on the life we ​​live, as in the golden ratio rule.

I wish everyone a life full of hope and golden ratio.

Love and respect from Moscow.