View Full Version : Really Hard Puzzle
Leomage
02-16-2006, 01:12 AM
The puzzle is: There are three houses that can be placed anywhere on the map. There is also three appliance factories (W=water, G=gas, E=electricity) that can be placed anywhere on a map. The objective for the builder is to connect all three factories to all three houses, but without them crossing. How do you connect them all without crossing?
The answer is really hard to get, and I eventually got it.
Here example of a failed drawing and there will be many more.
I suggest everyone try it.:D
http://i40.photobucket.com/albums/e241/goldeneye5/puzzle.jpg
I remember first post=p
02-16-2006, 04:19 AM
OWNT.
http://img400.imageshack.us/img400/8499/untitled8lh1.th.png (http://img400.imageshack.us/my.php?image=untitled8lh1.png)
Leomage
02-17-2006, 12:23 AM
OWNT.
http://img400.imageshack.us/img400/8499/untitled8lh1.th.png (http://img400.imageshack.us/my.php?image=untitled8lh1.png)
Your lines crossed and the appliances have to go straight to the homes not through others.:)
I remember first post=p
02-17-2006, 01:57 AM
Where did they cross but I was just funnin' :p
Probably got it wrong since i found it easy and fast... did it on first try
here it is
http://img134.imageshack.us/img134/8352/answer8sg.jpg
Missed Linking E to the middle house, but i think the path is obvious...
Sdcit
02-17-2006, 03:00 AM
it looks correct, i don't think they can split and merge though ?
JLewis
02-17-2006, 03:07 AM
Every face has at least four edges, so the number of edges in all the faces is at least 4 * 5 = 20 edges. This counts each edge twice, because every edge is a boundary for two faces. So, the smallest number of edges is 20 / 2 = 10 edges. However, we know that there are only 9 edges! Since nothing can have nine edges and ten edges at the same time, drawing a solution to the three utilities problem must be impossible.
Ha Ha LeoMage this is funny i solved it mathematically!
Owned
Flyboy
02-17-2006, 07:20 AM
Not impossible. I solved it last night. If no one else gets it I will post my solution in a day or two...
JLewis
02-17-2006, 11:56 AM
Not According to this:
http://mathforum.org/dr.math/faq/faq.3utilities.html
inferno
02-17-2006, 12:40 PM
RsN, you're also missing a link from G to the middle house. It is impossible.
XxKanexX
02-17-2006, 01:05 PM
I don't think i did it right.. Can the houses that were linked to the source be linked to another house? :p If so, All 3 houses get the 3 required states.
http://img119.imageshack.us/img119/8184/wee2fh.png
Leomage
02-18-2006, 12:56 AM
it looks correct, i don't think they can split and merge though ?
Yes you are correct they cannot merge nor split
Leomage
02-18-2006, 12:58 AM
Not impossible. I solved it last night. If no one else gets it I will post my solution in a day or two...
Are you sure you got it? Because you should send me your solution in a private message. Ill check it through.:D
Leomage
02-18-2006, 01:00 AM
I don't think i did it right.. Can the houses that were linked to the source be linked to another house? :p If so, All 3 houses get the 3 required states.
http://img119.imageshack.us/img119/8184/wee2fh.png
Unfortunatley that is not correct. You cannot link them through houses or applainces
The Un-Named
02-18-2006, 03:55 PM
I've known this for a few years. This is asclose as I've came.
http://img329.imageshack.us/img329/9286/bla8tn.png
Leomage
02-18-2006, 06:28 PM
that is really really close
The Un-Named
02-18-2006, 09:44 PM
Took me like a minute. I got bored after a year.
desired user
02-19-2006, 12:47 AM
hahah i figured it out :-D. There is no answer, unless you have it in 3d(e.x wires over someone's house.) Or do a donut shape. I thought there wasn't an answer...so I googled it as three houses puzzle...wala. No answer
http://www.brainbashers.com/showpuzzles.asp?puzzle=ZKGX
The answer is really hard to get, and I eventually got it.
There is no answer unless you use 3d...
The Un-Named
02-19-2006, 01:21 AM
In 3d it's so easy.
HISTORY
02-22-2006, 07:27 PM
http://img362.imageshack.us/img362/8575/werfer4di.png (http://imageshack.us)
is this ight?
inferno
02-22-2006, 07:31 PM
History, you're missing a link from W to house 3.
Flyboy
03-08-2006, 02:33 AM
I thought I had owned this one a while ago... I went to resolve it to post here and discovered it's impossible... so I googled it and came up with the answer (http://mathforum.org/dr.math/faq/faq.3utilities.html)
I guess I must have screwed up the first time I solved it and did not realize it :o
lol i was sitting then for awhile trying to get this one but i guess it really is impossible
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