9 dots problem - Join with 4 lines (Experts) - Join with 3 lines (Masters)
video description
Due to traditional thinking and strict rules in pretty much all facets of adult life and especially in our school career (shapes the way we think very precisely.
We limit our thinking in these problems to staying in the lines (dots) aka straight lines through middle sections of dots only.
If you simply say, there are no rules to where you draw your straight lines, atleast 50% of people who would normally not find the solutions would then easily find atleast the first less difficult version.
Date: 2023-11-15
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Comments and reviews: 14
YoSmotie
the 3 lines would only work if your dots were large enough to connect then at a diagonal line.
on a single piece of paper.
if the dots were the about the same thickness of the pen line or even a bit bigger. It could technically be done at the slightest angle. Although it would require a mile of paper to do it.
So the actual question you should ask is;
How to connect 9 --Circles--with only 3 lines?
That is, f you wanted it to be solved on just one piece of paper. lol
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the 3 lines would only work if your dots were large enough to connect then at a diagonal line.
on a single piece of paper.
if the dots were the about the same thickness of the pen line or even a bit bigger. It could technically be done at the slightest angle. Although it would require a mile of paper to do it.
So the actual question you should ask is;
How to connect 9 --Circles--with only 3 lines?
That is, f you wanted it to be solved on just one piece of paper. lol
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Mikaru
If you want to make this puzzle more interesting.
You have a square piece of paper with 9 evenly placed dots representing central points on the paper.
Connect all the central points using no more than 4 straight lines on the paper.
The lines must be all be connected together and you cannot have more than 2 end points.
The lines cannot leave the paper.
There is a solution for this that is using 1, 2 or 3 lines.
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If you want to make this puzzle more interesting.
You have a square piece of paper with 9 evenly placed dots representing central points on the paper.
Connect all the central points using no more than 4 straight lines on the paper.
The lines must be all be connected together and you cannot have more than 2 end points.
The lines cannot leave the paper.
There is a solution for this that is using 1, 2 or 3 lines.
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Josh
The three-lines solution seems a little bit bogus to me. If the points are infinitesimal (as they should be, then a three line solution is not possible. Taking the three-line solution to its logical extreme, if we just make the points thick enough we can touch them all with a single line (or even find a single point in their intersection.
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The three-lines solution seems a little bit bogus to me. If the points are infinitesimal (as they should be, then a three line solution is not possible. Taking the three-line solution to its logical extreme, if we just make the points thick enough we can touch them all with a single line (or even find a single point in their intersection.
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Proto
You can do it with one line. Super expert mode.
It requires folding the paper thin and then wrapping it into a coil. The dots line up and you can cross them all with one stroke.
When you unfold the paper, the lines will no longer be solid (they will be dashed) but the center of each dot will be marked.
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You can do it with one line. Super expert mode.
It requires folding the paper thin and then wrapping it into a coil. The dots line up and you can cross them all with one stroke.
When you unfold the paper, the lines will no longer be solid (they will be dashed) but the center of each dot will be marked.
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education
When you are saying dots then make dots first and then join if you can. Don't make circle sized dots.
This is cheating.
Like your cheating I can match these 9 dots with 1 line only. By using a super super wide pointed pen which has its ball point diameter of 1 inch.
Peace.
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When you are saying dots then make dots first and then join if you can. Don't make circle sized dots.
This is cheating.
Like your cheating I can match these 9 dots with 1 line only. By using a super super wide pointed pen which has its ball point diameter of 1 inch.
Peace.
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Dark
I can connect with one line if I make it thick enough. The point is to connect tiny dots with four tiny lines. Those are circles and if that is the problem then yes connect with three lines is the goal.
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I can connect with one line if I make it thick enough. The point is to connect tiny dots with four tiny lines. Those are circles and if that is the problem then yes connect with three lines is the goal.
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pelasgeus
The question is misleading. You say -connect the dots- and everyone understands that the lines should end on the dots, but you mean something else. Learn expressing yourself accurately please.
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The question is misleading. You say -connect the dots- and everyone understands that the lines should end on the dots, but you mean something else. Learn expressing yourself accurately please.
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Voltaire
I can join all the dots with one line without lifting the pen. Think outside the box. Think logically.
Using a pen brush that's thick enough to cover all the dots in one stroke.
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I can join all the dots with one line without lifting the pen. Think outside the box. Think logically.
Using a pen brush that's thick enough to cover all the dots in one stroke.
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MrAccident
I can join them with 1 line; simply by folding the paper in a certain way.
I can also detonate an atomic mega-bomb; so no one will ever care anymore!
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I can join them with 1 line; simply by folding the paper in a certain way.
I can also detonate an atomic mega-bomb; so no one will ever care anymore!
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Heisenboorgg
Sir. by definition point is what has no dimension. so there is no difference between its center and tangent. so such line can't be drawn-
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Sir. by definition point is what has no dimension. so there is no difference between its center and tangent. so such line can't be drawn-
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Ivana
How would you calculate the shortest route through all the 9 circles, provided that each straight line goes through the centre of one circle?
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How would you calculate the shortest route through all the 9 circles, provided that each straight line goes through the centre of one circle?
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education
A dot is assumed to have no dimensions. And a line is assumed to have only one dimension. So the master level is not possible. Thank you
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A dot is assumed to have no dimensions. And a line is assumed to have only one dimension. So the master level is not possible. Thank you
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Wyld1one
Now join all nine dots with one line.
It's possible with the docs on a cylinder. EG like a screw -non euclidean space
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Now join all nine dots with one line.
It's possible with the docs on a cylinder. EG like a screw -non euclidean space
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Dollcy
Amazing puzzle. But i thought joining 9 dots with 4 straight line is more difficult than joining with 3 straight line
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Amazing puzzle. But i thought joining 9 dots with 4 straight line is more difficult than joining with 3 straight line
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