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#22113 - 10/17/03 12:38 PM Re: Use your brain!
twopecker Offline
local

Registered: 07/20/03
Posts: 290
Loc: Nebraska
Put the gas line in the middle house then if you dont want it to go through all of them.

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#22114 - 10/17/03 12:41 PM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
If gas starts in the middle it can get to 2 of the 3.

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#22115 - 10/17/03 03:28 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16357
Loc: Leesburg, Virginia
Yup, some houses out East use oil for their furnaces.
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#22116 - 10/17/03 03:44 PM Re: Use your brain!
JasonG Offline
local

Registered: 04/29/02
Posts: 216
Loc: central Ohio
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.

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#22117 - 10/17/03 03:57 PM Re: Use your brain!
Saturn Offline
connoisseur

Registered: 10/21/02
Posts: 1041
Loc: Toronto Ontario Canuck
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.
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#22118 - 10/17/03 05:38 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16357
Loc: Leesburg, Virginia
Workable, but perhaps not what the riddler intended.
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I can explain it to you but I can't understand it for you.

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#22119 - 10/20/03 01:47 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16357
Loc: Leesburg, Virginia
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!
_________________________

I can explain it to you but I can't understand it for you.

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#22120 - 10/20/03 10:13 PM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
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!

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#22121 - 10/21/03 01:24 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16357
Loc: Leesburg, Virginia
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
_________________________

I can explain it to you but I can't understand it for you.

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#22122 - 10/21/03 10:26 PM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
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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