I'm glad to see these other solutions now being written and used. I had not found the other solutions documented elsewhere prior to using them in the presentation. The 4 and 3 line solutions were documented in books. The pencil's straight line indeed can cover the entire paper. The pencil is stationary and the paper is rolled onto a cylinder, with the cylinder rolling. Try to connect all 9 dots This 9-dots puzzle is at least as old as 1914, as it appeared in Sam Loyds 'Cyclopedia of Puzzles'. Other engineers do a variation of the "around the world" solution. becoming increasingly smaller until the dots seem to converge. ditto for painters Computer scientists have no problem with regular pencils, but microdots. This article is contributed by RAJENDRA SINGH RAJPU.If you like GeeksforGeeks and would like to contribute, you can also write an article using or mail your article to. Moms with small kids have no problem imagining a fat crayon like pencil which is fatter than the picture of all 9 dots. In this way, you are able to draw 4 straight lines without lifting pen and visited all 9 dots. Give these instructions, Without taking pen or pencil off your paper, connect all nine dots with four straight lines. Illustration of lines and dots rotating in a circle. However, scientists working with a physical world have a box where this is "normal". 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. Our most affordable plan if you use lots of data, with 2-4 lines for the same price. Participants are presented with a set of dots arranged in a 3x3 grid and challenged to connect all nine dots, without lifting their pencil from the paper, using the fewest possible number of straight lines. Math people think dots and lines with width is "cheating". The nine dot problem is a classic lateral thinking exercise that gained widespread popularity in the 1970s and 80s. The intent of the different solutions is not just to think outside the box, but also show that there is more than one right answer, as well as to show that different people have different boxes. I presented all of the solutions stated in prior comments. Click anywhere on the board to set endpoint of. Each line can be as long or as short as you like and a dot may be crossed by multiple lines. As an IBMer, I presented this problem multiple times for 3 separate years 2002-2005 at Disney World for engineering week. The Nine Dot puzzle was first referenced in Sam Lloyds 1914 Cyclopedia of Puzzleshow do you connect 9 dots, laid out in a square, with 4 straight. In this puzzle, you must connect all the dots using only 4 straight lines without lifting the pencil (ie: new lines must be connected to the previous one).
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