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**bryan****Member**- Registered: 2006-05-24
- Posts: 4

you have to get heat water and eletric to each house but no lines can cross

heat water eletric

house 1 house2 house3

you can use a infinte amount of paper

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Heehee, I do decision maths so I can prove that that's impossible. =P

Why did the vector cross the road?

It wanted to be normal.

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Okay, Ive been looking at some of these very old threads here

And Ive seen this puzzle before. Here is the solution:

http://puzzles.nigelcoldwell.co.uk/twentysix.htm

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**Ricky****Moderator**- Registered: 2005-12-04
- Posts: 3,791

I think that is a cheap way out. Represent each house as a vertex. Now try it.

"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Then Eulers formula comes into play.

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