Question

there are 9 points in this form arranged

o o o


o o o


o o o

hook to nine points with 4 lines without lifting pencil from paper

Answer 1

Hint the line doesn't have to end on a point.

Answer 2

you make aline then sqwoop to the next one so on ans so forth

Answer 3

yes @Evoker ,right

Answer 4

I've seen this puzzle quite a few times.

Another hint, basically, kind of a vague explanation of Evoker's hint:
Think outside the box ;)

Answer 5

Further hint:
Cross \(at~ least\) two points on each line.

Answer 6

Is there a way to work out the possible number of solutions for this problem?

Answer 7

@FaiqRaees
Hmm... what if the dots are smaller..? lol

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @mathmate
@FaiqRaees
Hmm... what if the dots are smaller..? lol
\(\color{#0cbb34}{\text{End of Quote}}\)
Make smaller lines

Answer 9

I suppose you mean longer lines, and in the limit, they will be "almost" parallel! :)

Answer 10

@mathmate did you mean dots much farther apart? or dots smaller in size?

Answer 11

Oh well then it's true that lines will become almost parallel

Answer 12

What I really wanted to say is that in your second solution, the lines are never mathematically parallel, so cannot qualify for a solution assuming the nine points are infinitely small, as in geometrical definitions.

Answer 13

@mathmate so from these above wrote result that than these 9 points are closed inside a frame so in this case this exercise,problem have not solvable ,yes ?
ty.

Answer 14

This problem is solvable, and has been solved by @faiqraces.
He has presented two solutions, I agree with the first one as valid, which incidentally is also my own solution. My discussion with him was on the second one. You can see that the first solution satisfies all the rules that your question has specified.