The Unsolvable Puzzle

[Roark]

Here is a puzzle that Auroara came up with. It is something that was done before. She figured it out then asked me. I don't know she's not telling. So I will put it here to see if any one can figure it out.
Okay here goes.

Heat-----Water-----Electricity
---------------- ----



^---------^---------^
House1 House2 House3

Connect Heat, water, and electricity to all three of the houses.
With out crossing the lines. They must link indavidually.
Meaning you can't solve this with a Rectangle. It helps to draw three bubbles on a sheet of paper. Start by Marking H W E So one bubble has H one has W, and the last has E
Then draw three boxes underneath them with a triangle on top. The houses should be parrallel to the three components. Then began trying to solve this puzzle. Good luck.
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The blood of that which you beleive run deep within, if you feel this then there is no need to doubt.

[Draquenvar]

The lines cannot cross each other, but can they pass under/through a house so long as they do not cross other utility lines?
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Rawr.
-Draquenvar

[Roark]

The lines have to directly link to each house. That is what makes this puzzle so hard. Because there is only one possible answer and as I said this is something Auroara came up with. I've been working on this for a year. I've yet to come up with anything.

I challenge anyone who has the ability to figure out this most complex of puzzles.
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The blood of that which you beleive run deep within, if you feel this then there is no need to doubt.

[Binky]

If there's no trick to it (like running the lines through a house), then I'm pretty sure there is no solution to the problem. Unless it isn't confined to the two-dimensional surface of a piece of paper. In 3-D, of course, it is easy.
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To the moon!
www.comics.wombania.com (Comic strip featuring the Wombies)

[Roark]

How would it be done in 3-D?
Would it be the same as 2-D
I've been working on this for
a year and I've yet to come up with anything.
That's why I put it here. As I want to use this puzzle against
other people who think they are so smart. If you know what I mean.
_________________
The blood of that which you beleive run deep within, if you feel this then there is no need to doubt.

[Rayadragon]

I spent months in highschool many years ago trying to figure out the solution to a similar problem. I never figure out a solution that didn't require either playing 3D or running through the other houses.
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"People who are easily offended need to be offended more often."
"Do on to others as you would have others do on to you."

[Ragnarok]

I was planning on a 3-D approach, myself. Aside from what Raya said, though, I don't see a 2-D solution.

dragonwriter: if it's done in 3-D, the lines can overlap, as long as their elevations are different. e.g. water travels at surface level, heat travels underground, and power goes overhead.
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To win against an opponent stronger than yourself, you must not be weaker than that opponent. - Takamachi Nanoha

[Binky]

As Ragnarok said, for it to work in 3-D, all you have to do is run the lines at different heights, as they do in real-world constructions.

For it to work in 2D, you have to run at least one of the lines through a house. One solution is shown below:

I think this is cheating, though it depends on the exact wording of the original question. If this isn't prohibited in the rules, then it could be a solution.
_________________
To the moon!
www.comics.wombania.com (Comic strip featuring the Wombies)