The task of connecting nine points with four lines is often found in old books on entertaining mathematics. The points are drawn in three rows and three columns. You need to connect them in straight lines, without lifting your hands. A person who has received such a task instinctively seeks to draw lines within a square formed by dots. In this case, it is necessary to go beyond it.
It is necessary
- - paper;
- - pencil.
Instructions
Step 1
Draw 3 dots on the sheet. They must be at the same level. Label them from left to right with the numbers 1, 2 and 3. Draw another row of dots under them, and even lower - a third. You should end up with something like a square. The dots are in the corners, in the middle of the sides, and in the center. Designate the second row with the numbers 4, 5 and 6. The third, respectively, will be 7, 8 and 9.
Step 2
Point 9 is in the lower right corner. It is she who will be the beginning of the line. Put a pencil in this place and begin to draw a line, but not to the neighbors vertically or horizontally, but diagonally, that is, to point 5. Continue the line to point 1. The first line is ready, it remains to draw three more.
Step 3
The second line can be drawn in two ways, the result will be the same. In the first case, the pencil will move down to points 4 and 7. Most puzzle lovers finish it at this point and try to turn it diagonally further. You need to act differently. Extend the line down to the point that will be on the continuation of the straight line connecting the numbers 8 and 6.
Step 4
From this point outside the square, draw a third straight line. It will cross points 6 and 8, and then the continuation of the upper side. That is, it is located on the same line as the numbers 1, 2 and 3, but to the right. Connect it to all the points on the upper side of the square. This will be the fourth line.
Step 5
In the second case, draw the starting line in the same way, from point 9 to point 1 through the center. Then the pencil crosses points 2 and 3 and moves on, outside the square. Once on a line that is a continuation of the segment between points 6 and 8, the pencil draws a third line through these points and a little further. Then it turns up, crosses points 7 and 4 and returns to number 1.