shmali 0 #1 January 27, 2004 You have 3 Houses and 3 Utility Companies. Can you find a way to connect each house to each of the utility companies without having any lines cross over/under eachother. Condition: All lines are run underground Pineappe Death Juice, If you have to ask you'd rather not know! Quote Share this post Link to post Share on other sites
larry 0 #2 January 27, 2004 one of the lines goes under one of the buildings otherwise there is no solution in 2D edited to attach solution“Now click your heels together 3 times so you can return to Kansas to live in poverty with your teetotaling, dirt farming aunt and uncle!” paraphrased Prof. Farnsworth Quote Share this post Link to post Share on other sites
bch7773 0 #3 January 27, 2004 exact same thing I came up with. maybe I'm missing something... middle house is in arkansas and so doesn't need electricity? MB 3528, RB 1182 Quote Share this post Link to post Share on other sites
Conundrum 1 #4 January 27, 2004 There is no solution no matter which way you do it. Quote Share this post Link to post Share on other sites
FrogNog 1 #5 January 27, 2004 Ah, a good old one. I remember being shown this one by a classmate in first grade. We had those really big black pencils and everything. -=-=-=-=- Pull. Quote Share this post Link to post Share on other sites
TheRus 0 #6 January 27, 2004 Quotemiddle house is in arkansas and so doesn't need electricity? Hey now!!! We do so have electricity... most of the time anyway! Yeah, it's fine, we'll walk down the line. Leave our rain, a cold trade for warm sunshine You my friend, I will defend... and if we change, well, I love you anyway Quote Share this post Link to post Share on other sites
kallend 1,649 #7 January 28, 2004 Build them on a torus.... The only sure way to survive a canopy collision is not to have one. Quote Share this post Link to post Share on other sites
FrogNog 1 #8 January 28, 2004 QuoteBuild them on a torus. I'm not sure that solves the problem, if the utility lines are required to be in the surface of the solid, the houses are required to be abutting the surface of the solid on the outside, and the lines are not allowed to pass through the intersection of the bases of the houses and the surface of the solid. But just to be sure, I'll try this out on an inner tube - paper lacks and I haven't had much sleep. -=-=-=-=- Pull. Quote Share this post Link to post Share on other sites
sdgregory 0 #9 January 28, 2004 First, think about your own home, do you have your OWN direct line for water and electricity and gas? Or do you just have a meter that reads flow from the main line to a line into your house? Using three concentric circles this is easy to solve. Quote Share this post Link to post Share on other sites
Bodyflight.Net 0 #10 January 28, 2004 I always have to guess.... Quote Share this post Link to post Share on other sites
RoysPlayThing 0 #11 January 28, 2004 Are you trying to take us for stupid people here shmali?... come-on give us something a little more challenging...lol _______________________________________________ My mind is like a parachute...it functions only when open. Quote Share this post Link to post Share on other sites
kallend 1,649 #12 January 28, 2004 QuoteQuoteBuild them on a torus. I'm not sure that solves the problem, if the utility lines are required to be in the surface of the solid, the houses are required to be abutting the surface of the solid on the outside, and the lines are not allowed to pass through the intersection of the bases of the houses and the surface of the solid. But just to be sure, I'll try this out on an inner tube - paper lacks and I haven't had much sleep. Well, it's known to be impossible (math proof using graph theory) on a plane or a sphere, so a torus is your only hope.... The only sure way to survive a canopy collision is not to have one. Quote Share this post Link to post Share on other sites
larry 0 #13 January 28, 2004 nobody looked at my reply and the attached solution it is a trick question you cannot go under or over another line but nothing was ever said about going under a building see my attachment“Now click your heels together 3 times so you can return to Kansas to live in poverty with your teetotaling, dirt farming aunt and uncle!” paraphrased Prof. Farnsworth Quote Share this post Link to post Share on other sites
