Guest Posted February 9, 2009 Report Share Posted February 9, 2009 consider 9 dots in a 3X3 pattern it is possible to connect all 9 dots with 4 straight consecutive lines Consider writing the four lines with a pen: you cannot lift the pen off the paper, therefore all 4 lines must come from start from the end of the last line To make guess easier to answer use the following 3 x 3 plane with each point designated by a number 1 2 3 4 5 6 7 8 9 Quote Link to comment Share on other sites More sharing options...
0 Prof. Templeton Posted February 9, 2009 Report Share Posted February 9, 2009 Are we talking dots, or mathematical points? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 9, 2009 Report Share Posted February 9, 2009 (edited) consider 9 dots in a 3X3 pattern it is possible to connect all 9 dots with 4 straight consecutive lines Consider writing the four lines with a pen: you cannot lift the pen off the paper, therefore all 4 lines must come from start from the end of the last line To make guess easier to answer use the following 3 x 3 plane with each point designated by a number 1 2 3 4 5 6 7 8 9 line 1 - diagonal 9-1, covers 9,5,1 line 2 - down 1-7, covers 1,4,7 line 3 - across 7-9, covers 7,8,9 line 4 - up 9-3, covers 9,6,3 Edited February 9, 2009 by xucam Quote Link to comment Share on other sites More sharing options...
0 Prof. Templeton Posted February 9, 2009 Report Share Posted February 9, 2009 you missed a "2". Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 9, 2009 Report Share Posted February 9, 2009 so we have a 3*3 grid and we have to connect all 9 points with 4 straight lines. draw a line straight acoss the top and extend it by 1 more point (not on the 3*3 grid). Then draw a diagonal line throught points 6+8 and exten by 1 again. Draw straight line back up to start giving you a large triangle. One more diagonal line through 5+9 and you have connected the 9 points with 4 lines 1...2...3...4 5...6...7...8 9...10..11..12 13..14..15..16 points 1,2,3,5,6,7,9,10 and 11 are the 3*3 grid. Draw line from connecting 1,2,3 and 4. Then connect 4,7,10 and 13 (diagonally), back up connecting 1,5,9 and 13 then draw 1more diagonal line connecting 1,6,11 and 16. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 9, 2009 Report Share Posted February 9, 2009 (edited) This is what I got. *EDIT* Spoiler tags Edited February 9, 2009 by JarZe Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 9, 2009 Report Share Posted February 9, 2009 This is what I got. *EDIT* Spoiler tags Same as mine JarZe, although I couldn't be bothered to draw a diagram and upload it Quote Link to comment Share on other sites More sharing options...
0 Prof. Templeton Posted February 9, 2009 Report Share Posted February 9, 2009 3 lines can do it. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 9, 2009 Report Share Posted February 9, 2009 (edited) 3 lines can do it. I knew it can be done, but just can't figure it out. It was given to me as an extra challenge in maths a while ago but I never did it... I'll work on it for a bit as theres nothing else to do Edited February 9, 2009 by reaymond Quote Link to comment Share on other sites More sharing options...
0 Prof. Templeton Posted February 9, 2009 Report Share Posted February 9, 2009 the dots have been enlarged, but you get the idea. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 9, 2009 Report Share Posted February 9, 2009 OOOH i just drew this on paint! Quote Link to comment Share on other sites More sharing options...
Question
Guest
consider 9 dots in a 3X3 pattern
it is possible to connect all 9 dots with 4 straight consecutive lines
Consider writing the four lines with a pen:
you cannot lift the pen off the paper, therefore all 4 lines must come from start from the end of the last line
To make guess easier to answer use the following 3 x 3 plane with each point designated by a number
1 2 3
4 5 6
7 8 9
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