4/9/2023 0 Comments Connect 9 dots with 4 lines![]() ![]() The "straight lines" mean any straight line while "connected straight line" means lines that intercept each other.Ī) For line of slope = 1/3, there's only one possible line, connecting bottom left to top right, which you can clearly see the remaining dots cannot be connected by 2 straight lines/ī) For line of slope = 1/2, -1/2, 2 or -2, (Image 1 in the link) The maximum dots those lines can connect is 2 dots, and you can see any line that you do the remaining dots cannot be connected by 2 straight lines, by covering up the dots that one line travel through and looking at the remaining ones. It is possible to disprove the possibility of such a graph to be connected by 3 connected straight linesThe following proof is probably not conclusive, but enough to strike an argument. I'm gonna be kinda embarrassed if he's just messing around with us this way. ![]() ![]() The blue dot is where the first line is supposed to start (I don't know the exact distance from the top right dot), and the orange line is where one of the three lines goes through (don't know the length of it). My teacher told everyone in my class that it it solvable and that he took three months to figure out the answer, but after spending a ton of time thinking about a solution I cant figure out anything.Įdit: I managed to get some hints of of him. Rules: The lines have to be straight, it should be solved without lifting up the pencil from the paper (no cheating like folding a corner or something like that) and the lines have to be able to touch every dot no matter the size of the dot or the line (so making huge dots and drawing on them with one line isn't allowed). Here's an image of how the dots should look like: The goal is to connect all of the dots using only 3 lines. The first row has 4 dots, the second one has 2 and the third one has 3. Discuss how you came to your solution.So a few weeks ago my teacher gave me a puzzle that consists of three rows of dots.Were you stressed or frustrated? How did you deal with that emotion? Talk about how you felt during this activity.That’s the only way to solve the infamous nine-dot problem! Do not worry about extending the lines “outside the box” of the three rows of three dots. This adjustment in thinking can help children think about how lines can cross at angles other than 0, 45 and 90 degrees. It is important to observe how these dots are not dots per se, but rather are round discs or filled-in circles. A solution may not be found right away.Try to connect all of the dots using four lines or fewer without lifting the pen.Make the dots about 1/4-inch in diameter, or about the size of a pea. Use the template below or draw a square grid of nine dots, with three rows of three dots spaced evenly apart.This activity literally requires thinking outside of the box in order to solve it. Try to connect nine equally spaced dots using four lines or fewer without lifting a pen! ![]()
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