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Draw a single line connecting each side,line of the puzzle

 
 
jimtivo
 
Reply Mon 16 May, 2005 11:47 pm
Pay no attention to the dots. I had to add them for formatting. Treat all of the other lines as solid lines. Basically it is a few rectangles and a couple of squares, all connected.

Draw a single, constant, line through each of the sides, lines, crossing each line only one time. It is okay for the line you are drawing to cross itself. The ends of the line can start and stop inside or outside the puzzle.

_______________________________________
l................................ l........................................ l
l.................................l.........................................l
l................................ l........................................ l
l.................................l.........................................l
l_________________l____________________l
l................l................ .................l...................... l
l................l..................................l.......................l
l................l................ .................l...................... l
l................l..................................l.......................l
l________l_________________l____________l
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Type: Discussion • Score: 1 • Views: 644 • Replies: 3
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markr
 
  1  
Reply Tue 17 May, 2005 01:45 am
It can't be done. It is equivalent to a graph with six nodes. One node has nine edges, three nodes have five edges, and two nodes have four edges. Since four nodes have an odd number of edges, it will take two lines to accomplish the task.
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whimsical
 
  1  
Reply Tue 17 May, 2005 03:33 am
Perhaps if you bend the rules a bit...

http://www.creativepuzzels.nl/spel/speel1/images/oplos31b.gif

Laughing

whim
0 Replies
 
megalomax
 
  1  
Reply Fri 27 May, 2005 01:45 am
wow. it's still a line.
0 Replies
 
 

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