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The segments can also cut each other. enter image description here

I have tried and tried but I can do it with 5 segments only.

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  • $\begingroup$ hint: two lines are out the square $\endgroup$ – chenbai Feb 26 '15 at 12:49
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    $\begingroup$ Three horizontal segments and one vertical segment, each passing through three of the points, seem to do the job. I guess it depends on what you mean by "unite them all". What does it mean for a bunch of line segments to "unite" a set of points? $\endgroup$ – bof Feb 26 '15 at 12:51
  • $\begingroup$ @bof I believe OP meant a polygonal chain of 4 segments containing all the given dots. $\endgroup$ – Andrei Rykhalski Feb 26 '15 at 12:52
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    $\begingroup$ @AndreiRykhalski How did you figure that out? Did you deduce that from the statement of the question? Or are you just assuming that the OP must be referring to a familiar problem which involves the same diagram? $\endgroup$ – bof Feb 26 '15 at 12:54
  • $\begingroup$ In my opinion we do the askers no favors by reading their minds and answering the question they meant to ask; rather we should try to urge them to formulate their questions correctly and clearly. $\endgroup$ – bof Feb 26 '15 at 13:00
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I have solved this puzzle earlier. So I understand what you mean. This is what you want.enter image description here

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  • $\begingroup$ It cannot be done in three lines as you are assuming the dots to be circles. $\endgroup$ – AvZ Feb 26 '15 at 16:50
  • $\begingroup$ Oh yes, sorry. Let me edit. $\endgroup$ – user167045 Feb 26 '15 at 16:50

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