![]() The straight lines must be continuous – i.e. To solve the problem, you need to join all nine dots by drawing no more than four straight lines. How many lines do you need to join 9 dots? This puzzle is a great illustration of the importance of “thinking outside the box”! This is because this puzzle is seemingly impossible to connect all the dots with only 4 straight lines. Jasper Johns’s charcoal drawing 0 through 9 is an example of this technique.Ĭan you connect the same lettered dots without crossing lines? Can you connect all the dots with 4 straight lines? The drawing implement stays in uninterruped contact with the surface of the paper during the entire length of the drawing. The line in a continuous line drawing is unbroken from the beginning to the end. There are 5 main types of lines in art: vertical lines, horizontal lines, diagonal lines, zigzag lines, and curved lines. There should not be any intersections.Ĭan you connect the dots without crossing lines? What are the 4 types of lines in art? Problem: Within the square, draw a line to connect from box A to the other box A, then draw a line from box B to the other box B, and box C to box B. How do you connect 6 dots without crossing lines? The solution lies in the observation that it’s permissible to cross square boundaries. For one always comes up with 5 lines instead of 4. The 9 Dots Problem The problem is to connect the dots with no more than 4 straight lines without lifting your hand from the paper. What is the 9 dot puzzle? How did you connect the 9 dots? Jasper Johns’s charcoal drawing 0 through 9 is an example of this technique. What is a continuous line drawing?ĬONTINUOUS LINE DRAWING. ![]() ![]() In the final puzzle below, each dot connects a different number of lines. And for the 3-line and 4-line challenges lines cannot cross. ![]() To make it more of a challenge, no two lines can join the same pair of dots. Can you connect the dots without crossing the line? The nine-dot problem (Maier, 1930) requires that nine dots arranged in a square be connected by four straight lines drawn without lifting the pen from the paper and without retracing any lines (Figure 1). The problem is to connect the dots with no more than 4 straight lines without lifting your hand from the paper. Most people will see a square and mentally add lines around it creating the context with which to solve the puzzle. The rules are simple connect all 9 dots using a maximum of 4 straight lines without lifting your pen off the paper or retracing back over an existing line. ![]()
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