Then I pass 3 for the second time and stop at point ‘C’ (see diagram). To show you were B is, I make a new diagram.įrom point B I make a line that connects 3,8, 9 and 14. 9 dots 4 lines 9 dots 1 line This tricky puzzle & the awesome riddle has three genius solutions GOLDY KUMAR 76 subscribers Subscribe 54 Share 15K views 4 years ago 9 dots and 4. that nine dots arranged in a square be connected by four straight lines drawn. I pass 2 for the second time and I stop at point ‘B’. Training for Insight : The Case of the Nine - Dot Problem Trina C. From A I draw a can connect 2 with 15, 12 and 5. Because the line is infinite, I again go to 6 to point ‘A’. We start (S) in the middle, the point between 6 and 11 or between 10 and 7. Join the 9 dots with 4 lines without lifting the pencilMathsPuzzles RecreationalMathematics CriticalThinking MathematicsLearning RashKathMathFor more re. So now all we need to do is combine the lines is such a way that the beginning is also the end. You can compare these lines with the equator on earth. But there are also two strange lines what are the same as the previously described lines, namely line 5-2-15-12, and line 9-14-3-8. The puzzle has appeared under various other names over the years. The rules: All lines must be straight The pen must remain on the paper. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen. This would mean that the straight line that connects 1, 2, 3 and 4 is infinite. The challenge: To connect these 9 dots with 4 straight lines. Just imagine that all dots are on a ball, and that they are equally spread. By Group E - London Met.Check out also 'Four Lines Solution' and 'One Line Solution'. So that why I started thinking out of the box.
In the dots diagram you will get these horizontal (or vertical) lines: (1-4, 5-8, 9-12 and 13-16)īut that’s not the solution, because the beginning and the end must connect, and now there are just four loose lines. So, that would mean that every line has to connect 4 dots. OK, I think I found the solution for this problem.įirst I analyzed what is really the problem: In this case, with 16 dots and only 4 straight lines, the maximum number of dots per line is maximum 4.
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