The magic square is a wonderful mathematical puzzle that has been known for a long time. It was compiled by sages and mathematicians to confirm the ordering of the universe, its symmetry. The magic square is a square table of integers. If you add all the numbers along any of its rows, columns, or diagonals, you get the same number.
Instructions
Step 1
Take a closer look at the proposed table. You will notice that exactly the same symbols or letters are placed diagonally.
Step 2
Now consider the numbers they correspond to. Have you noticed? All digits are divisible by 9, i.e. are divisible by 9 without remainder.
Step 3
A wonderful mathematical phenomenon, or a trick, or a property of two-digit numbers, as you like, is that whatever number you take, from 0 to 99, when you subtract the sum of the constituent digits from it, you get a number that is divisible by 9.
Step 4
Now place all the numbers divisible by 9 on the diagonal of the table, one per row, mark them with the same symbols - and the magic magic square is ready. And to make a better impression, scatter the rest of the numbers in the remaining cells in a chaotic manner and mark them with different icons. The main thing is, if you solve a computer puzzle on one of the many sites, so that after each "guessed" symbol, the page reloads, changing the signs of the whole square, without changing the diagonal numbers and their identical designation.
Step 5
The simplest square consists of 9 cells, three on each side, and is called a 3rd order square. The number of elements in a magic square is always equal to the square of the number of elements of any of its sides. This is logical, because all sides of a square are equal.
Step 6
In fact, a magic puzzle is an ancient Sudoku, an oriental numerical crossword puzzle, in which you need to substitute prime numbers in a specific order: so that they do not repeat themselves, and so that their sum over rows, columns and diagonals is the same.
