While invisioning the dots as the buttons on a telephone's touch pad, draw a line from the 1, through the 4 and 7, all the way to the *. Without lifting your pen, draw a line from the *, through the 8 and 6, to a point just to the right of the 3. Now draw a line through the 3 and 2, to the 1. Finally, draw a line from the 1, through the 5, to the 9. You don't say how the 9 dots are arranged so draw a square and put 9 dots anywhere on the lines of the square. Answer: Here is a link to a picture of the solution for this problem
http://the-programmers-stone.com/wp-content/uploads/2008059Dots4Lines.png Goofy Answer You can do it with only one line. Just put the nine dots in a strait line, then draw a line through them.
Who said the Lines Had to Be Straight?
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This is going to be difficult to explain without graphics, so try to follow closely.
Draw a diagram similar to this: (don't write the numbers, just use them as reference)
1 2 3
+ + + x Starting at 2, draw a line through the 3 to the x
4 5 6
+ + + Turn and draw through the 6 and the 8 to the other x
7 8 9
+ + + Turn again and draw through the 7 and the 4 to the 1
x Now turn and draw through the 5 and the 9 1
2 3 4
5 6 7 8 9
place your pencil on 5, go to 9,go to 1, go to 2, go to 4
Quod erat demonstrandum
LÓL apology! I have just seen how my answer turned out
I had originally envisaged it as a triangle with the 1 over the 3 over the 7,
2 over the 6 (6 left of the 7, & right of the 5),
& 3 over the 8 (centred between 7 & 9)
BUT it also works when the 1 is over the 2 is over the 5.
try it. LÓL
imagine the dots are numbered.....
1 - 2- 3
4 - 5 - 6
7 - 8 - 9
Now, mark two spots A and B like this...
A
1 - 2- 3
4 - 5 - 6
7 - 8 - 9 - B
Draw a line from 3, through 5 to 7. Go upwards through 4, and 1 and on to point A Draw from A diagonally through 2 and 6 to B Draw from B through 9 and 8 to 7.
Starting at the top, 1 stick horizontal between dot 1 and dot 2, then 1 stick horizontal from dot 2 to dot 3, then 1 stick vertical between dot 1 to dot 4, 1 stick vertical between dot 2 to dot 5 and 1 stick vertical from dot 3 to dot 6. 1 stick horizontal between dot 4 and dot 5, then 1 stick horizontal from dot 5 to dot 6, then 1 stick vertical between dot 4 to dot 7, 1 stick vertical between dot 5 to dot 8 and 1 stick vertical from dot 6 to dot 9. 1 stick horizontal between dot 7 to dot 8 and 1 stick horizontal between dot 8 to dot 9, you have now used 12 sticks and none are crossing and all have been used once.
Start off at the bottom left dot, go up to the top left dot and carry on as though there is another invisible dot above it, go down diagonal right to the top middle dot and carry on to the right middle dot and carry on once more as though there is another invisible dot to the right of the bottom line of three, go left to the bottom left dot and then go diagonal right to the top right dot.
From the top left dot, draw a line downwards, past the third dot (as though there is another dot there). Now, draw a diagonal line horizontally to your right, passing the dot below the center one and the one on the right of the center dot. Make sure the line goes pass the dot on the right of the center dot, as though there was another dot there. Then, draw a vertical line to the end on the left top row and draw a diagonal line down the center from the top left to the bottom right dot.