Originally posted by geepamoogle I've heard of a way to connect all 9 dots with only 3 lines, believe it or not. This requires thinking even further outside the box though..
Easy enough if the dots are of finite size, and you've got a very big piece of paper.
Originally posted by FabianFnas It's not only possible, I can do it in one line, and one stratight line only. Not that difficult. You really have to think outside the box.
what if the 3x3 square was not made from the nine dots but they were arranged in some other 3x3 square? in fact arrange them on top of each other and cover them with another dot hence 0 lines
Originally posted by deriver69 what if the 3x3 square was not made from the nine dots but they were arranged in some other 3x3 square? in fact arrange them on top of each other and cover them with another dot hence 0 lines
Originally posted by Thomaster one straight line? That's impossible!
Not at all, I can do it with no difficulty.
Everytime I present this solution people say "You're cheating!" but I'm not. What they really mean is "You don't do it as it is meant to do!" or "We didn't think of that!".
So there is definitely a solution for 9 dots and one straight line.
Originally posted by wolfgang59 maybe I should have said 9 points rather than dots? and defined point, and line and straight.
In fact I never really defined "9" did I?
Well, you can always narrow the definition to the extent that only one solution is possible. But the problem stated as it was from the beginning, in lay terms.
Put the nine points slighle tilted, roll the paper to a cylindre, and then draw the line around the cylender, hitting three points every turn.
That's *one* solution, but I assumed that the paper should be finite in size and flat. So my solution is 9 points on a flat paper. You can use a ruler to make the line perfectly straight.
Originally posted by FabianFnas Well, you can always narrow the definition to the extent that only one solution is possible. But the problem stated as it was from the beginning, in lay terms.
Put the nine points slighle tilted, roll the paper to a cylindre, and then draw the line around the cylender, hitting three points every turn.
That's *one* solution, but I assumed that the pa ...[text shortened]... can use a ruler to make the line perfectly straight.
Why use four lines when one is enough?
Your cilinder trick doesn't work, since the line should remain straight. (what is impoosible on a rolled paper)
I think I understand how you do it with one line. You take two papers.
First you hit three dots with a straight line and you 'park' the line in the second paper. You can simply move the dots :-)