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Old 11-01-2001, 10:05 PM   #21
jimberg
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There is no solution within the scope of the rules you posted. You can't use a cylinder or a sphere to make it work, either. You could probably use a torus, but then going into 3D would open up the possibility of saying that the phone lines are on poles and the water and power are underground.


As for the last puzzle, you can do it with one continuous line with no turns if you wrap it around the globe. If the solution must be planar, you could draw three lines.




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Old 11-02-2001, 01:37 AM   #22
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That is not the solution and there is an answer and it is not a trick question.

Draw the 9 dots on a piece of paper and try that, I made the dots a little big but they are just dots.


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Old 11-02-2001, 09:56 AM   #23
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Are you saying that the dots are just a single point in space and that the lines must intersect those points? If so, here's the solution:



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Old 11-02-2001, 10:12 AM   #24
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Hey Jim, you want to help me with my taxes this year?

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-Chris

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Old 11-02-2001, 04:59 PM   #25
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That's it.

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Old 11-05-2001, 05:02 PM   #26
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Quote:
Originally posted by jimberg:
Geckos_mustang, you can assume that you can connect lines at an infinite number of points in a circle around the utilities and houses. You can also place the utilities and houses in any position that you wish on the planet. You may also have your lines be as long as you want, even circling the globe. It would still be impossible. The easiest way to figure this out is to draw a diagram connecting two houses to all of the utilities. Now, try to place the 3rd house anywhere on the diagram where you can hook up the three utilities. As you can see, it's impossible.




You are all thinking two dimensionally. Think of the third house in the air or in space. Think of you as the third house. Then it is easy to visualize with this diagram.

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Old 11-05-2001, 07:39 PM   #27
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Quote:
Originally posted by btr:You are all thinking two dimensionally. Think of the third house in the air or in space. Think of you as the third house. Then it is easy to visualize with this diagram.
I agree, but that type of solution is not within the allowable parameters for the solution of the puzzle. Remember what he said:

Quote:
Originally posted by 95gtSTANG:
Oh yea, you also cannot say that the plumbing is underground!!
This, to me, implies that the solution must be on at least the same continuous surface, which is why I considered a sphere or a cylinder. It will, however, work on the surface of a torus, but I think that also falls outside of the allowable parameters for an acceptable solution.



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Old 11-05-2001, 08:32 PM   #28
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ROFL!! Jim, can I borrow some brain cells?!

Wanna do my taxes too?? (I'd prolly get all my money back!)
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Old 11-06-2001, 09:32 PM   #29
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If it can't be underground, then it can't be up in the air either. Basically, that was covered in the "lines can't cross each other clause". That contradicts the 3D explanation. The puzzle has no solution.

Rev

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Old 11-07-2001, 08:38 AM   #30
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ARGHH, this reminds me too much of school, i'm in a math degree program for C&O. (which I'm not at right now, I'm working!!)

But, I'm pretty sure that no solution exists, since we are looking for (in graph theory terms) a complete bipartite graph drawn on a 2-dimensional plane with no overlapping arcs.

see this page for details, and if there is a solution to this problem, the person who solves it should take my place at school (which starts back up for me in January!)
http://www.utm.edu/departments/math/...ossary.html#kn

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Old 11-07-2001, 08:47 AM   #31
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HERE'S one for ya, that actually does have an answer !!!

You have two strands of rope (not necessarily same length!) known to take 30 minutes EACH to burn completely.

You need to measure 45 minutes of time, how do you do this given the two ropes, and a match?
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Old 11-07-2001, 09:09 AM   #32
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Was that ONE match? If so, fold rope A at a 90 degree angle, with the fold point being the very middle of that rope. Light it with the match. When it burns to the middle point, use it to ignite the second rope. When the second rope has finished burning, 45 minutes have passed.

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Old 11-08-2001, 01:26 AM   #33
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That's gotta be right for the rope one.

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Old 11-08-2001, 05:24 PM   #34
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Or just burn all of one rope and half of the other one.

Rev

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Old 11-08-2001, 06:39 PM   #35
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Start one rope burning at both ends and then when it is almost out light one end of the remaining rope.

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Old 11-08-2001, 08:13 PM   #36
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Cut one rope in half and lay it end-to-end with the other rope and light one end. Save the other 15 minutes for some other time.
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Old 11-08-2001, 08:16 PM   #37
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Burn one rope and half the other one. Smoke the other half rope while you contemplate the deep relevance of all this.

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Old 11-08-2001, 08:57 PM   #38
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ROFLMAO!!!
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