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Re: Use your brain!
#22113 10/17/03 04:38 PM
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Put the gas line in the middle house then if you dont want it to go through all of them.

Re: Use your brain!
#22114 10/17/03 04:41 PM
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If gas starts in the middle it can get to 2 of the 3.

Re: Use your brain!
#22115 10/17/03 07:28 PM
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pmbuko Offline OP
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Yup, some houses out East use oil for their furnaces.

Re: Use your brain!
#22116 10/17/03 07:44 PM
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Oil-fired furnaces I'm familiar with. An oil line to the house I'm not. Even if there is such a thing as an oil line to a house, I'd expect oil lines and gas lines to be mutually exclusive.

Re: Use your brain!
#22117 10/17/03 07:57 PM
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I concur with Jason. So that leaves us with water. Water doesnt have to be mutually exclusive. Such as water in an apartment is all daisy chained from the source. So you could be getting your tap of the water through your neighbor. So in my drawing exchange the G for W and in reality should be workable.

Re: Use your brain!
#22118 10/17/03 09:38 PM
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pmbuko Offline OP
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Workable, but perhaps not what the riddler intended.

Re: Use your brain!
#22119 10/20/03 05:47 PM
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pmbuko Offline OP
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The 3 houses, 3 utilities rule has no solution. After trying endless combinations of lines on paper, I caved. I looked at some math website and turns out it is mathematically impossible. I'm not so dumb after all!

Re: Use your brain!
#22120 10/21/03 02:13 AM
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I didn't think it was solvable. If you have a link to the math website that proved it though I'd like to see it...please post it here. I won't have to feel dumb anymore either!

Re: Use your brain!
#22121 10/21/03 05:24 PM
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pmbuko Offline OP
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Here's a link with some gory details on the unsolvability of the 3 houses riddle:

http://rec-puzzles.org/new/sol.pl/geometry/K3,3

Re: Use your brain!
#22122 10/22/03 02:26 AM
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Alright, so the gory details are a bit more Geometry and proofs then I have had to think about in a while, but I think I got the general gist from that without getting into the details too much. Some of the details are a bit beyond me anyway. Thanks for the info though. I've always wondered about that one!

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