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Tue 5 Jul, 2005 10:23 am
Hi all,
I'm new here...Just seen it today and am hooked already!
I wanted to check about a riddle that my friend quized me on.
I think it is not possible to solve, or is a trick solution, but just wanted to check with all of you here.
It is a pen & paper riddle, so might be hard to explain in words....
There are 3 houses in a row that need to be linked to a water plant, electricity plant, and a gas plant. Their lines can't cross though.
Anybody heard of this before? Is it just a trick like folding the piece of paper you draw these on???
Any input would be helpfull!
Can the houses be linked to one of the plants in series? There's nothing in condition that says otherwise. If we assume, that houses are 3D objects in real setting, we can run the water pipe underground connecting the three houses from below and avoiging any crossing in 2d plain (as looked at from the point right above the houses)
So we can draw something like this (electric hookup goes into H3, then continues to H2 and H1 (ignore dots, they're to avoid shifting of proportional fonts):
.........ELECTRIC
...........|...|...|
.........H1-H2-H3----------WATER
...........|...|...|
.............GAS
Actually in that case we can link them to any number of plants just sitting paralell to each other for as long as the width of houses allow:
H--H--H----------Plant1
O--O--O----------------Plant2
U--U--U-----Plant3
S--S--S---------------------------Plant4
E--E--E------------Plant5
1--2--3-----------------------Etc...
If you take houses as dots, or even squares on a 2d plain - I doubt you can achieve that at all.... unless one of the plants is housed inside the middle house.
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