without raising your pen/pencil and without retracing any line. For the sake of convenience of explaining in this forum, you may identify the dots with numbers or alphabet like 1, 2, 3 in the first row, 4,5,6 in the second row and 7,8,9 in the third row.
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You need to think outside the box. Literally.
1 2 3 a
4 5 6
7 8 9
b
The lines you draw are 1-2-3-a
a-6-8-b
b-7-4-1
1-5-9
Connect 9 Dots
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RE:
How to connect 9 dots in a 3x3 square form by not more than 4 straight lines?
without raising your pen/pencil and without retracing any line. For the sake of convenience of explaining in this forum, you may identify the dots with numbers or alphabet like 1, 2, 3 in the first row, 4,5,6 in the second row and 7,8,9 in the third row.
Walkin' 'round the earth won't do it. The 'straight line' on a spherical surface is like the equator, or like one of the meridian lines: it won't give you the wiggle room you need to link up more dots than those you got on the first pass through. But if you take that array and paste it on a donut shape, you're in business: You can draw a geodesic that will spiral its way through any number of dots. Another possibility, related to the 'fat marker solution,' is to make big fat dots that overlap at one point. Any straight line that passes through that one point does the deed. That kinda stretches the meaning of 'dot' out of shape, but, hey, it's just a puzzle question, you know? Besides, you allowed 'line' with 'fat marker.' Fair's fair. Get all of the dots to sit down in the same room, then tell them: "You know why ducks don't eat cheese?" That straight line should cause the dots to connect, in some sense of 'connect'.
Start in a corner. Lets choose the top right. Make the diagonal to the bottom left. Then go out to the right, but go OUTSIDE THE BOX about one dots worth of space. Then diagonal up and to the left hitting two points, then going outside the box above the left edge. Then come straight back down to the corner and you've done it.
The trick is to think 'outside the box'.
we had this problem in enginerring class. another student came up with another really good idea, what if you bent the paper into a cylender and drew one line from the bottom in a spiral upwards? that would hit all the lines and still be no more than four lines. you could also think of them as straight to as being that they are staying on the medium present and not making any turns.
1 2 3
4 5 6
7 8 9
if they are in this format................
first line take.....1,4 and 7 and extend it so that.....
second line covers 8 and 6 diagonally and extend that so that......
third line takes....3,2 and 1.......and then
fourth line takes...1,5 and 9.....thats all
look here :
http://www.google.nl/search?hl=nl&q=+How+to+connec...
Bah, I tried to draw it...forget it.
Look here:
http://mathforum.org/k12/k12puzzles/join.dots.solu...
http://img291.imageshack.us/img291/2572/untitled66...