![]() ![]() It is trivial that there is an upper limit of 2n-1 lines. Can you draw 5 straight lines through these dost, connecting them all as in problem 1, and end where you started?Īs far as I know, this problem is unsolved. Your challenge is to draw four straight lines which go through the middle of all of the dots without taking the pencil off the paper. There is no reason to limit ourselves to squares. Follow our website Fresherslive to receive regular updates on new Brain Teasers that will keep challenging your logic and problem-solving skills. Let us see how long it will take to sort out the puzzle. Brain teaser will help to test your quick thinking level. To practice some real “outside the box” thinking, try to solve the first problem with 1 (yes, one) straight line, every dot crossed exactly once, no backtracking, etc. In the article below, we have a puzzle and the answer. Then intention is that to solve the problem, the problem solver has to shake off his unconscious borders and step over these borders in order to solve the problem. For n 4, I'm seeing that you need at least 6 lines, since the restriction that no two lines can be parallel makes things tough. “Out of the box” does not mean “as shipped”, but rather “outside the box”, a term which is also used and more accurate. From there, any other line drawn can only cover n-2 new points, so in total with n+1 lines you can't cover more than n 2 - n + 3 points, after n 3 we see that n+1 lines is not enough. The first problem is often used as an example of the need to think “out of the box”. With the conditions from the first puzzle, how many straight line segments do you need to connect all 25 dots in the figure below? Then, Can you connect all 9 dots with 1 straight line Use a shrinking ray to make the dots smallput 9 little dots close togetherand connect them with. nine dots arranged in a square be connected by four straight lines drawn without lifting the pen. With the conditions from the previous puzzle, how many straight line segments do you need to connect all 16 dots in the figure below? line in a space between dots 2) crossing lines, i.e. ![]() You can check your solutions: solution 3. As far as I know, this problem is unsolved. It is not allowed to lift your pen from the paper, to backtrack over a line, or to go through a dot twice. 6) nxn dots There seems to be a clear pattern 3×3 dots: 4 straight lines 4×4 dots: 6 straight lines 5×5 dots: 8 straight lines This suggests an infinite series: nxn dots: 2(n-1) straight lines. It's a drawing of a box with some dots in it, and the idea is to connect all the dots by using only four lines. There is one particular puzzle you may have seen. Try to draw 1 line consisting of 4 straight segments through all 9 dots. The goal of the puzzle is to link all 9 dots using four straight lines or less, without lifting the pen. ![]()
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