The aim of the game is to connect all 3 houses to water, electricity and gas suppliers without crossing any lines.
Some guy gave it to me, saying that him and many others tried to solve it but couldn't. I've been trying to solve it for the last 15min but so far no luck. It's like impossible...
it is impossible, the mathimaticans here in germany call that a K_3,3 graph (there is also a K_5 graph), it is impossible to draw a plain graph (no connections are crossing) if you find something like that in a graph. I could try to prove it, there are some mathematic theromes about that, but I'm too lazy, just believe it, it IS impossible:D Well, it would be possible if you draw the houses and the water/fire/lightning on a ball, but not on a 2D paper xD Now I know why I studied this shit for 1 year
I could have sworn I did something like this in fourth or fifth grade in tag called the kindergarten test or something like that (because adults struggled with it and kindergartens usually got it in less than a minute due to adults mental block that a line has to be straight) but there were only two blocks... three is impossible. I tried to swirl it around a bunch of time but the last 2 connections never work.
what that is saying is that you cannot construct a graph that has three vertices, each of which are connected to each of another three (different) vertices.
On May 09 2009 00:31 bdams19 wrote: I could have sworn I did something like this in fourth or fifth grade in tag called the kindergarten test or something like that (because adults struggled with it and kindergartens usually got it in less than a minute due to adults mental block that a line has to be straight) but there were only two blocks... three is impossible. I tried to swirl it around a bunch of time but the last 2 connections never work.
Oh well, it's a glitch or something, you must draw the line through a house. You stop just before you connect the house then right click and move mouse at the other part of the house then left click ... and line is continuous through the house. Disappointed that this has no real solving but was fun spending 40min thinking about it.
Oh well, it's a glitch or something, you must draw the line through a house. You stop just before you connect the house then right click and move mouse at the other part of the house then left click ... and line is continuous through the house. Disappointed that this has no real solving but was fun spending 40min thinking about it.
Nice, so in fact someone who simply says there isn't a solution is just not thinking outside of the box .
Oh well, it's a glitch or something, you must draw the line through a house. You stop just before you connect the house then right click and move mouse at the other part of the house then left click ... and line is continuous through the house. Disappointed that this has no real solving but was fun spending 40min thinking about it.
Nice, so in fact someone who simply says there isn't a solution is just not thinking outside of the box .
yeah, there's plenty of ways to solve it if you break the rules. I prefer the 3d solutions myself, you can make pretty weaves of uncrossed lines that way.
On May 09 2009 00:57 CyuntiyuL wrote: pretty easy + Show Spoiler +
the trick is to go around the world
wait, is there a way to let you do that?
no, i did it on paint as a joke. after seeing pika's solution i tried to do the right-click thing to simulate going around the world but the line just went straight across the screen lol. ):
Wow thats pretty lame. I'm So glad I didn't waste like an hour just to find out that you have to use some sort of glitch to make it work -_- Still, regards to the one who found it out...
On May 09 2009 00:57 CyuntiyuL wrote: pretty easy + Show Spoiler +
the trick is to go around the world
wait, is there a way to let you do that?
no, i did it on paint as a joke. after seeing pika's solution i tried to do the right-click thing to simulate going around the world but the line just went straight across the screen lol. ):
This is a classic puzzle. Solving it has always involved building one of the lines under one of the houses. Knowing that it's just a problem of figuring out how to get the line to build.
On May 09 2009 10:07 ultramagnetics wrote: All the solution posted so far are exploitiing a glitch of the program and don't actually work...
Find a way to solve this puzzle without the glitch then?
well mathematically, it's pretty obvious that k3,3 can't be drawn without lines crossing, and there's a billion ways to prove it. i mean it has girth 4 and you can show that a planar graph must satisfy #edges <= girth*(points-2) / girth-2, and that gives us 4*4/2 = 8. 9 isn't less than 8 so k3,3 can't be drawn without lines crossing
as for actually solving the puzzle, it either has no solution or a solution hinging on dumb assumptions
On May 09 2009 10:07 ultramagnetics wrote: All the solution posted so far are exploitiing a glitch of the program and don't actually work...
Find a way to solve this puzzle without the glitch then?
well mathematically, it's pretty obvious that k3,3 can't be drawn without lines crossing, and there's a billion ways to prove it. i mean it has girth 4 and you can show that a planar graph must satisfy #edges <= girth*(points-2) / girth-2, and that gives us 4*4/2 = 8. 9 isn't less than 8 so k3,3 can't be drawn without lines crossing
as for actually solving the puzzle, it either has no solution or a solution hinging on dumb assumptions
this has no solutions... a solution on a dumb assumption is a wrong solution.
this is impossible just a heads up, i learned it when iw as a kid, but only with 6 circles on a piece of paper, and you have to make each one touch each one.