Consider alternatives to the conventional wisdom. This is the 9-Dot Puzzle Take a step back and look at the larger picture. 239,902 visits since August 2017, and counting. Answer Using just four straight lines, connect the nine dots together without raising your pencil from the page.Follow Creativity boost on Blog Statistics A reasoning problem in which the task is to connect nine dots, arranged in a square, by four straight lines drawn without lifting the pen from the paper and. Your challenge is to draw four straight lines which go through all of the dots without taking the pencil. Visit also my Creativity Boost Facebook page with lots of links to fun, creative and thoughtful stuff. Below are nine dots arranged in a set of three rows. Source: ĥ) And finally, my favourite, the origami method. This could also be done at a grander scale on a flat piece of paper, with an (imaginary) line going three loops around the world. You have probably heard about one of the most popular puzzle called 4 lines 9 dots. Source: MateMagica, Sarcone & Waeber, ISBN: 88-8. By ingeniously folding it, according to the example below, it is possible to align the 9 dots in order to connect them together with a final pencil stroke. Nothing in the challenge prohibits you from that.Ģ) Take a paint brush and connect all nine dots with one broad stroke covering all of them.ģ) Burn the paper and spread the ashes in one line for you to draw through.Ĥ) Make the paper into a cylinder and connect all nine dots with an oblique straight line. Reproduce the puzzle on a square sheet of paper. The above four- and three-line solutions, could be deduced through a trial-and-error approach, but doing it with only one line, would require stepping back and out of your normal thinking habits to find new and surprising solutions, what Edward de Bono calls “lateral thinking”.īelow are a few alternatives, but I would appreciate any further suggestions.ġ) Cut out the nine dots and glue them in one line on a piece of paper, then draw your line through them. Solution: A similar problem is present here Connect 9 dots using 4 lines. Draw 3 straight lines without removing pen from paper such that each of the 9 circles is in contact with at least one line. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14) > a.shape (3. The nine dot puzzle consists of three rows of three dots and asks viewers to link all the dots using either four or three straight lines without lifting the pen. Consider 9 circles each arranged at the center of cells of a 2-D matrix of shape 33. Nowhere is stated that the lines need to pass through the centre of the dots, so a simple three-line zigzag pattern would do it. For a matrix with n rows and m columns, shape will be (n,m). To come to this solution, you would maybe not need to think outside the box, but surely outside the square.Ī three-line solution to the nine-dot problem is actually quite simple. ![]() This is the classical four-line solution, the arrow could of course point in three other directions.
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