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Old 2006-02-03, 05:28   #1
nibble4bits
 
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Default Dot puzzle

Using only 4 lines, and not picking your pencil up, could you cross all 9 of these dots if this was printed?

Are there methods to go lower? How low can you go?
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Old 2006-02-03, 06:33   #2
mfgoode
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Lightbulb Dot Puzzle


Nibble4bits this has come up before if my memory serves me right so I wont spoil your problem even by spoilerising the answer.
What do you mean by going low? you can even go higher depending where you start.
Mally

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Old 2006-02-03, 12:49   #3
fetofs
 
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I love this solution!
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Old 2006-02-03, 12:50   #4
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Seriously speaking...
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Old 2006-02-03, 15:07   #5
mfgoode
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Cool

Quote:
Originally Posted by fetofs
I love this solution!

Mally
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Old 2006-02-03, 20:15   #6
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Fetofs was being facetious.
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Old 2006-02-05, 18:03   #7
Orgasmic Troll
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I think we've discussed this one before

as long as the dots (or the width of the pencil mark) cannot be taken arbitrarily small and the paper we write on CAN be taken arbitrarily large, the solution is 3 lines
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Old 2006-02-07, 15:26   #8
mfgoode
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:surprised Three straight lines TravisT ? I'd like to see your solution.
Please oblige.
Mally
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Old 2006-02-07, 18:20   #9
xilman
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Quote:
Originally Posted by mfgoode
:surprised Three straight lines TravisT ? I'd like to see your solution.
Please oblige.
Mally
If the line is wide enough, at least as wide as the diagram, a single line suffices even for zero-sized dots.

If the dots are large enough, of diameter at least as wide as the diagram, a single line suffices, even if it is of zero width.


Paul
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Old 2006-02-08, 03:54   #10
mfgoode
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Cool Dot Puzzle

Quote:
Originally Posted by xilman
If the line is wide enough, at least as wide as the diagram, a single line suffices even for zero-sized dots.

If the dots are large enough, of diameter at least as wide as the diagram, a single line suffices, even if it is of zero width.


Paul
Your two "IF"'s reminds me of the saying "IF stands stiff in 24 corners"
Your "IF" s offends my mathematical classical sense.!
Lets not bend the rules of the game and stick to the definitions of Euclid which has stood good for over two millenniums. I reiterate

Line: has only length and no breadth.

Point: that which has position and no dimensions.

It would be better if you used a single curved line which is not restricted in the problem instead of using quadrilaterals and circles.
Mally
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Old 2006-02-08, 07:42   #11
Orgasmic Troll
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Quote:
Line: has only length and no breadth.

Point: that which has position and no dimensions.
There are no points in this problem. They are dots. Specifically, the problem states that they are printed, therefore, they have a minimum radius r

thus imagine a rectangle of width r that is just large enough to cover the top row of 3 dots. Draw a line that passes through one corner to the other, since it has non-zero width, the line is not parallel to a line through the centers of the dots and thus will intersect the line that bisects the 2nd row. Create a new line through the bottom row by translating the first line down. Similar to the original line, this will also intersect the middle line, thus we have 3 lines that intersect all 9 dots
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