In ancient times, great scientists considered numbers to be the basis of the essence of the world. The magic square, the secret of which is that the sum of the numbers in the resulting square in each horizontal, each vertical, and each diagonal is the same, carries this essence.

But full description Magic squares do not exist to this day.

The magic square of Pythagoras, “attracting” the energy of wealth, was compiled by the founder
The great scientist, who founded the religious and philosophical doctrine and proclaimed quantitative relations to be the basis of things, believed that the date of birth of a person lies his essence.

Knowing how it works magic square, you can not only find out a person’s character traits, his state of health, his intellectual and creative possibilities, but also to draw up a program for its improvement and development. Numbers that are written in a square in a special way attract not only wealth, but also the necessary energy flows for a person. For example, Paracelsus depicted his square as a talisman of health. The numbers form three rows, that is, there are nine numbers in total in the square. To determine your numerology code, you need to calculate these nine numbers.

How does the magic square work?

The first horizontal row of the square is formed by numbers: the day, month and year of a person’s birth. For example, a person’s date of birth corresponds to 08/09/1971. Then the first number in the square will be 9, which is written in the first cell. The second number is the day of the month, that is, 8.

It is worth paying attention that if a person’s month of birth corresponds to December, that is, the number 12, then it, therefore, needs to be converted using addition into the simple number 3. The third digit corresponds to the number of the year. To do this, 1971 must be broken down into its component numbers and their total sum equal to 18 and then simplified to 1+8=9. Fill the upper horizontal field of the square with the resulting numbers: 9,8,9.

In the second row of the square, numbers are written that correspond to the person’s first name, patronymic and last name according to numerology. Each letter has its own digital value. The numbers can be obtained from the table of correspondence between letters and numbers in numerology. Next, you need to sum up the numbers of the first name, middle name and last name and bring them to simple values.

We fill the second row of the square with the resulting numbers. The fourth number corresponds to the first name, the fifth to the patronymic, and the sixth to the last name. Now we have the second line of the energy square.

A further principle of how the magic square works is based on astrology.

The seventh digit corresponds to the number of a person's zodiac sign. Aries is the first sign with the number 1, and further in order up to the sign of Pisces - 12. When filling out the third row of the square, two-digit numbers should not be reduced to prime numbers; they all have their own meaning.

The eighth digit is the number of the sign. That is, in our version, 1971 is the year of the Pig.

The ninth digit represents the numerological code of a person's desire. For example, a person strives to have excellent health, therefore, you need to find the numbers corresponding to the letters in this word. The resulting sum is 49, which is then simplified by adding to 4. Numbers from 10 to 12, as in the case of a person’s zodiac sign, do not need to be reduced. Now that you know how a magic square works, you can easily compose it and carry it with you as a talisman or frame it as a painting and hang it at home.

The secret of the game "Magic Square"

I’m sure you’ve heard the phrase “magic square” somewhere. We know several representatives of this “tribe”. The most widespread and frequently encountered on the Internet is the so-called “Magic Square” game. Its essence lies in the fact that a table is offered to your attention (this is the “magic square”), which is capable of “guessing thoughts.” Naturally, like any game, it has certain rules. You need to think of any two-digit number, and then subtract from it the sum consisting of the digits of this number. Find the resulting value in the table along with the symbol corresponding to it. And it is this symbol that guesses the square. The game is funny and, at first glance, truly magical, because no matter what number you initially guess, the square always guesses the symbol. How does this work? How does the magic square work? In fact, the answer lies on the surface. If you check the square several times in a row, you will notice that the same symbol appears all the time. A closer look at the table shows that this symbol is located horizontally and corresponds to numbers that are divisible by 9 without a remainder. However, they are the only ones you get in your answer, no matter what two-digit number you choose. We can say that we have exposed the “magic square”. The secret lies not so much in it, but in the conditions of the game. The fact is that there is such an indisputable truth that says: “If from any double digit number subtract the sum of its digits, you get a number divisible by 9 without a remainder.” So we found out how the “magic square” works. Not an ounce of mysticism! Although, in principle, everything related to numbers is based on calculations and patterns, and not on magic.

The secret of the magic square:

7	t	41	k	86	h	21	n	33	w	1	p	35	r	61	p	12	w	90	a
15	h	23	z	57	v	55	q	71	d	66	h	78	g	14	q	81	a	10	t
88	d	59	j	74	n	69	b	68	m	38	i	22	m	72	a	3	v	58	m
62	l	77	m	40	c	98	u	20	s	94	m	63	a	87	t	99	m	37	x
92	s	96	g	51	f	73	e	46	i	54	a	53	s	44	h	43	k	2	d
34	o	31	e	91	t	19	i	45	a	50	k	85	v	28	s	38	l	75	v
79	h	8	c	11	s	36	a	16	f	24	z	4	q	67	m	6	f	48	o
17	p	65	w	27	a	42	p	89	e	39	s	95	x	32	f	25	d	26	h
29	c	18	a	82	k	60	o	93	r	83	y	52	k	56	p	53	i	30	y
9	a	80	q	47	d	84	l	5	g	13	x	70	d	49	g	76	c	64	e

Albrecht Durer's Magic Square

Sometimes digital patterns acquire such incredible proportions that it seems that witchcraft was involved. For example, another “magic square” is known - Albrecht Durer. In mathematics, it is understood as a square table with the same number of rows and columns, filled with natural numbers. Moreover, the sum of these numbers horizontally, vertically or diagonally must equal the same result. The magic square came to us from China; today we all know its prominent representative - the Sudoku crossword puzzle. In Europe, it was Dürer who was the first to depict a “magical” figure in his engraving “Melancholy”. What is unique about this “magic square”? At its base it has a combination of numbers 15 and 14, which corresponds to the year of publication of the engraving. And the sum of the numbers consists not only of lines diagonally, vertically and horizontally, but also of the numbers located at the corners of the square, in the central small square and in each of the four-cell squares on its sides. These figures do not predict fate and do not guess thoughts; they are unique precisely because of their patterns.

Pythagorean square

If we turn to fortune telling, then here too there is a representative - the “magic square” of Pythagoras. We all know this name from geometry lessons. But only in our time did they begin to call this man a mathematician and philosopher. In ancient times, he was known as a teacher of wisdom, poems were composed and odes were sung about him, he was worshiped, and was considered a seer. Pythagoras founded a new science - numerology, in former times it was perceived as a religion.

He believed that numbers can explain almost every phenomenon, including determining the fate of a person, telling about his character, talents and weaknesses. This could be done using the Pythagorean square. How does the “magic square” work and what is it? The magic square of Pythagoras is a 3/3 square (rows, columns), in which the numbers from 1 to 9 are entered. The prediction is based on the person’s date of birth. It is important that “0” does not appear in the calculations. Using simple calculations and formulas, a set of numbers is obtained, which must subsequently be entered into a square. Each number has its own meaning and is responsible for a specific property. So, 4 is “responsible” for health, and 9 is for intelligence. Depending on how many times the same number appears in your square, you can say about the predominance of one or another property. So, for example, the absence of 4 is an indicator of physical weakness and pain, and 444 is good health and cheerfulness. It is difficult to say how true the Pythagorean square is, as is any fortune telling. But now, knowing how the magic square works, you will at least be able to pleasantly while away an hour or two, calculating the characters of your friends and acquaintances.

This riddle quickly spread throughout the Internet. Thousands of people began to wonder how the magic square works. Today you will finally find the answer!

The mystery of the magic square

In fact, this riddle is quite simple and made with human inattention in mind. Let's see how the magic black square works using a real example:

1. Let's guess any number from 10 to 19. Now let's subtract its constituent digits from this number. For example, let’s take 11. Subtract one from 11 and then another one. The result is 9. It doesn't really matter which number from 10 to 19 you take. The result of the calculations will always be 9. The number 9 in the “Magic Square” corresponds to the first number with pictures. If you look closely, you can see that it is very a large number numbers are assigned to the same drawings.
2. What happens if you take a number in the range from 20 to 29? Maybe you already guessed it yourself? Right! The result of the calculation will always be 18. The number 18 corresponds to the second position on the diagonal with pictures.
3. If you take a number from 30 to 39, then, as you can already guess, the number 27 will come out. The number 27 also corresponds to the number on the diagonal of the so inexplicable “Magic Square”.
4. A similar algorithm remains true for any numbers from 40 to 49, from 50 to 59, and so on.

That is, it turns out that it doesn’t matter what number you guessed - “Magic Square” will guess the result, because in the cells numbered 9, 18, 27, 36, 45, 54, 63, 72 and 81 there is actually the same symbol .

In fact, this mystery can be easily explained using a simple equation:

1. Imagine any two-digit number. Regardless of the number, it can be represented as x*10+y. Tens act as “x”, and units act as “y”.
2. Subtract the numbers that make it up from the hidden number. Add the equation: (x*10+y)-(x+y)=9*x.
3. The number that comes out as a result of the calculations must point to a specific symbol in the table.

It doesn’t matter what number is in the role of “x”, one way or another you will get a symbol whose number will be a multiple of nine. In order to make sure that there is one symbol under different numbers, just look at the table and at the numbers 0,9,18,27,45,54,63,72,81 and subsequent ones.

In a magic square, the integers are distributed in such a way that their sum horizontally, vertically and diagonally is equal to the same number, the so-called magic constant.

Magic square in cultures of the world

An example of a magic square is Lo Shu, which is a 3 by 3 table. The numbers from 1 to 9 are written in it in such a way that the sum of each of the lines and the diagonal gives the number 15.

One Chinese legend tells how once during a flood, a king tried to build a canal that would divert water to the sea. Suddenly, a turtle with a strange pattern on its shell appeared from the Lo River. It was a grid with numbers from 1 to 9 inscribed in squares. The sum of the numbers on each side of the square, as well as along the diagonal, was 15. This number corresponded to the number of days in each of the 24 cycles of the Chinese solar year.

The Lo Shu square is also called the magic square of Saturn. On the bottom line of this square there is the number 1 in the middle, and in the upper right cell there is the number 2.

The magic square is also present in other cultures: Persian, Arab, Indian, European. It was captured in his engraving “Melancholy” in 1514 by the German artist Albrecht Durer.

The magic square in Durer's engraving is considered the first to ever appear in European artistic culture.

How to solve a magic square

Solve a magic square by filling the cells with numbers in such a way that the total on each line is a magic constant. A side of a magic square can consist of an even or odd number of cells. The most popular magic squares consist of nine (3x3) or sixteen (4x4) cells. There is a wide variety of magic squares and options for solving them.

How to solve a square with an even number of cells

You will need a piece of paper with a 4x4 square drawn on it, a pencil and an eraser.

Write numbers from 1 to 16 into the cells of the square, starting from the top left cell.

1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16

The magic constant of this square is 34. Swap the numbers on the diagonal line from 1 to 16. For simplicity, swap 16 and 1, and then 6 and 11. As a result, the numbers on the diagonal will be 16, 11, 6, 1.

16 2 3 4
5 11 7 8
9 10 6 12
13 14 15 1

Swap the numbers on the second diagonal line. This line starts with the number 4 and ends with the number 13. Swap them. Now swap the other two numbers - 7 and 10. From top to bottom on the line, the numbers will be located in this order: 13, 10, 7, 4.

16 2 3 13
5 11 10 8
9 7 6 12
4 14 15 1

If you count the total on each line, you get 34. This method works with other squares with an even number of cells.

Many Internet users have probably come across the site " http://www.ugbereg.ru/magic.htm ", or the so-called "magic" square.
Many people probably believed that the square is actually capable of “reading minds”
Many realized that this was some kind of trick, and the fact that the square guesses the intended numbers can be explained logically, but most of them never guessed how it works.
And, of course, there are people who have already unraveled the secret of the “magic” square.

I (Kaori Nakamura) and my dad understood how the “magic” square works and for what purpose it was created.
I felt offended that Internet users were being so deceived, and I decided to tell as many people as possible the truth about this “mind-reading” site.

How the magic square works:

First, let's try to take the number 99, subtract two nines from it, we get 81.
Let's take the number 98, 98-9-8=81. The same goes for the numbers 97, 96 and all the numbers in the first line.
Let's try to take the number 89 89-8-9=72, the same answer will be obtained for all the numbers in the second line.
And so, in the entire third line there is the number 63
In the entire fourth - 54, in the fifth - 45, in the sixth -36, in the seventh - 27, in the eighth - 18, in the ninth - 9.

Now note that every time you get to a page with a black square, the symbols next to the numbers are always different.

Now take a closer look at the table, the numbers: 81, 72, 63, 54, 45, 36, 27, 18 and 9 lie on the same diagonal, and have the same symbol, that is, no matter what two-digit number you guess, You will still get one of the numbers listed above. This means that the square symbol will show the same thing.

If you try to simply take any number without any calculations, for example 12, then the square will make a mistake and show not the symbol that belongs to the number 12, but the one that belongs to the numbers 81, 72, and so on.

Therefore, there is no “magic” here.

Why is this necessary?

Anyone who has encountered this “magic” square has probably read the following article:

“Tell about him on 3 of your favorite forums, or 7 friends on ICQ, and today you will be met with fabulous luck and happiness, you will be fabulously lucky!

THIS IS HOW IT HAPPENED FOR ME! At first I thought it was a joke. But still, out of curiosity, I checked it - I really wanted something new and unusual. I told it on three forums, and also on my blog. And in the evening, when I had already forgotten, I was driving from work on the subway, and at the next stop on the right a very beautiful girl, slender with deep bright eyes. I almost shuddered from her eyes, face, hair, the aroma of her soft perfume... When she reached into her purse, a cell phone fell out of the purse, right between my legs - The magic square worked! She was shy, but asked me to get it. But I persuaded her to do it with her own hand =)) Yes! She did, with a brilliant smile! She turned out to be unexpectedly talkative, and I had such a feeling that she was my most close person, it’s easy and pleasant for me to be with her. Only when I returned to work the next day did I remember about the magic square. We met twice already, and she smiled, and so did I. She turned out to be even more beautiful and more cheerful than I remembered her. We walked, laughed, I saw with what greedy eyes the other guys were looking at her... I feel at ease with her, like with no one else. The square read my thoughts and fulfilled my wishes secret desire! Tomorrow I will go to visit her;) I have never had anything like this in my life! The square DEFINITELY works! Tell others quickly - may you be lucky!

P.S. But my friend didn’t send it and his wallet with 300 dollars was taken out on the subway, who knows, maybe the square punished him? It’s better to give a link than like this..”

And after reading this text, many (I’m not saying that all, but the majority) began to rather distribute these links left and right, so that their wallet with trust dollars, which they never had, was stolen.

So why was this site created? “to entertain Internet users?” No, this “magic” square is part of one commercial site, if you remove it from “ http://www.ugbereg.ru/magic.html » " magic.html", then you get a link to MAIN page this site: " http://www.ugbereg.ru/ " This means that with our links, we help the site for the sale of apartments in the city of Bataysk to advance in the Yandex search bar!

I tried to explain the principle of operation of this site as clearly as possible, and I hope that everyone who reads this text will understand my desire to “expose” the site with the “magic” square.

If you have any questions, ask, I will definitely answer.
But even if there are no questions, it is still extremely important for me to know your opinion about all this.

Thank you for your attention,
Yours, Kaori Nakamura.