IMPOSSIBLE Utilities Problem SOLVED!! NOT IMPOSSIBLE!!
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- Опубліковано 29 вер 2024
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In this video we will be taking a look at the very popular 'Impossible utilities problem'. In this problem you have to connect each utility, Electricity, Water and Gas, to each of the 3 houses without crossing over any of the lines. In the video we analyse two other popular methods found on UA-cam and give what may be a valid solution to this problem.
Jump to the final solution: • IMPOSSIBLE Utilities P...
I apologise for the low quality of this video as i was not aware with the new editing software i am using that i was restricted to 720p resolution.
Camera used:
www.amazon.co....
Editing software used:
www.lwks.com
Thanks for watching!
الي جاي من التيك توك💃🏼😂
ممكن اسم حساب صاحب التحدي؟
This Puzzle forms part of the infamous `Idiot Tests`. its not actually a puzzle , it is meant to be a trick Question to catch you out. Question - Houses A - B and C. you have Electricity, Gas and Water Pipes. put all three into each house without crossing the pipes. Answer - Its impossible, Electricity flows throw a `CABLE` not a `PIPE` . Simple.
I just searched for videos with "solutions" for giggles.
Obviously this is not a solution either, as it changes the rules.
Sure, usually the rules are implied, but if you go with "everything not forbidden is allowed" instead of common sense, you can also solve it by gluing a paper bridge on top of one line, tearing holes in the paper or silly things like that.
I suppose so, thanks for the comment :) like to hear what others think of different concepts!
You have a point but if the instructions which I don't have specific knowledge of how they actually read uses "crossover" a bridge wouldn't work nor a tunnel by which is what holes in the paper would represent. Now if it uses intersect then there's more room for your reasoning. also I think the point is to create it without adding to or destroying the paper in the process which would imo be common sense. It all come down to topology so this solution does I think bend those rules but the ones that draw onto the back not so much as that is technically a part of the topological "plane" along with the edge of the paper. The crossing through the backside of the paper imo isn't a solution but continuing the line is valid.
Wouldn’t you technically break the rule again where two lines intercept? You simply introduced the puzzle to the 3D-world. But if we would move to the real world, each drawn line would mean that „two cables/pipes lay on top of each other“. So from bird perspective, we still have the lines crossing - even though our pens didn’t touch the same point twice (2D interception).
That was what I came to say. I think he misses the point that the 2d non intersecting constraint is literally the crux of the puzzle.
In year three I had a teacher who would give me a puzzle to solve each week. This was one that I remember vividly because I couldn’t solve it no matter how I tried it. He explained it using a doughnut and drawing the puzzle on it before connecting the lines. The rationale was utilities are linear lines, but houses are three dimensional shapes, therefore the puzzle is a three dimensional shape. Although, I was 8 years old, so that went over my head and so he just left it at “Natural Gas lines run underground”.
Great explication!
This was the puzzle I have been solving for almost 3 decades now 😂
There is a simple solution to this equation frustrated by unkind neighbors... 1. Water, install a well in the basement of each house; 2. No gas, CO2 is bad for our climate they say. Heating though a geothermal well and heat exchange. Put all of this crap also in their basement; 3. Electricity, install solar panels on each roof and top it off with a home battery system for the lights at night and the less sunny days. I bet the guy that had me break my head as a kid didn't think of this solution. Hahaha, who's laughing now? That's right!
The torus solution presented here *is* the canonical answer to the problem. The whole point of the puzzle is to introduce the reader to topologies and not make them break rules by creative misinterpretation.
So the problem is solvable on the shape of a torus.
Real-Life
manager: Engineer fullfill the requirements
engineer: One does not simply fullfill the requirements without a donut.
This was outside the box thinking by changing the environment(from flatland to torus-land)
This is a problem of misdirection. It is bringing a 3-dimensional world into a 2-dimensional world. We know gas and water run underground and the electric grid is above ground, therefore, we have to represent the gas company and the water company as one. When we do that, we are left with the energy "E", the water/gas "WG", and the 3 houses between them connected to the utilities by 6 lines. A pyramid in the 3D world is a triangle in the 2D world. The same thing happens here. Trying to bring the problem to the 3D world defeats the purpose.
Sorry but this is not a solution. This is changing the rules of the game.
I have been trying to solve this for the last 25 years
place the utilities over the houses. for the sake of simplicity beginning with the upper left utility draw a line around to the lower right house in the center of the bottom. now from the middle utility, and then from the right until all the utility lines terminate at the same point under the bottom right house. now simply draw three lines from this exact point to the bottom center of the next and repeat the process to terminate all lines at the bottom left house. no lines have crossed and in life they would be connected level and apart and not crossing. only graph science people object to the solution when it solved, as the trolly track problem is solved, within its stated parameters
This problem is to be solver in a 2 dimensional graph. Not to be rotating a plane like yo could create a second 2d dimension behind the xy plane. This is not valid.
I first saw this problem on a mug, where the solution after a long time of thinking, was to use the handle to draw a connection, just applied this to paper and it worked, you must have a better solution?
so correct mamma mia!!!!
You're wrong. It is about topology, what he is doing is applying topology on the problem. It cannot be solved in objects which does not contain holes. It is not a planar graph.
@@mertunsal7335 Sorry. If the problem is not in the plane it is trivial. In actual fact, this happens to many more than three houses at a time by digging trenches of different depth to various houses up and down your street. If you thought this problem was 3D, you were fooling yourself from the beginning.
I have a genuine solution for this, i needa draw it bigger to solidify my results but im its more 2D
اغبي حل شفته.
All the solutions are basically just introducing an extra dimension
You're not allowed to bend the paper
I literally did it twice with no overlap wtf I think I'm dumb
The solution divides the torus surface into only three regions, which violates Euler's formula F+V=E+2, giving 3+69+2 thus proving the impossibility on a 2D surface.
2:50 who on earth decided it was okay to use the upside down… 😮😮😮😮
You've ruined my life! 😭
Well, that wasn’t the objective😂
We can’t gain immortality unless this puzzle being sloved
If you solve it you are doing it wrong
Now i get pizza from my teacher
Send me a slice!😂
It's a 2D problem. So try do this on a wall
That's nota taurus. It's a cylinder.
Got into a big argument at work about this, some guy said he'd solved it. By definition, it's impossible, these guys were too thick to realise they were basically cheating..🤣❤️
Thank you. The one video with maybe 5000 views seems to be the best. I am surprised but highly satisfied 😄
Good to hear :) Thank you!
حدا يترجملي انا ما بعرف انجليزي
Ariana, Jake and Alex, if you’re here looking for the answer, you have:
1. Cheated
2. Found the wrong answer.
I will tell you at Christmas if you haven’t come up with it yet.
Xoxo
L
1. No one else cares about your random friends.
2. It's impossible to find the wrong answer here, because this video covers all of the accepted solutions to the problem.
3. The solution he gives is the best possible answer to the problem, because this is a mathematical problem and he gives a proper mathematical solution. Calling this "wrong" is juvenile.
@@33LB You seem like the type that will never figure this out. And since my comment was obviously not for you, why don't you mind your own business? Maybe you'll get some friends of your own while you're at it. L
@@liannytorres7812 it doesn't matter if your comment wasn't for me. this is an open-discussion board. and as i already explained in my previous comment, this is a mathematical problem, so this is the best solution because it's a mathematical solution. it illustrates an important property of toroidal shapes.
33LB Why are you so obsessed with me? Lol. You need to relax.
@@liannytorres7812 Obsessed?
OMG after 12 years i got the solution 😭
Why not just connect them in series instead of going parallel. So all three utilities go to one house then you just series connect them.
This was outside the box thinking by changing the environment from flatland to torus-land. Nice!
I Guess it should be also possible to fold the paper like a curtain(or like sawtooth waves), if you know what i mean. If the paper is unfolded you draw some lines ending before they reach the houses(not directly connected lines) some other lines will be directly connected to the houses. After you made all 9 Lines in this manner then if you fold it like a curtain(or like sawtooth waves) then everything should be connected without intersecting. What do you think?
pueeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeerco
I love the video. My science teacher told me this and never gave us the answer. You gave me an idea. Why dont you connect the 8 lines that don't cross on the front of the paper and for the 9th line, just draw a line coming out of the utility thats not connected to anything and doesnt cross. Fold the paper and touch house to the 9th line.
It is so vigorous
Waste of paper
i solved it by just running the raw aewage line through the power station, i know it's kinda cheating but sometimes it's the only way
Holy shit
Pretty clever theory but this can be solved using the 3 utiliteis& 3 house method, im 60 yrs old and was shown this solved puzzle years ago by my father...I will see if I can remember how it was done...I'll be back!!!
My dad gave my this puzzle 15+ years ago and I have tried well over 1000 times to solve it. I gave up like 5 or so years ago (would do it every now and then as i found it cathartic).
After all this time I decided to Google and found this. It's comforting to see there is no "legit" solution. You're video was very helpful.
I solved this when I was like 9 we used to try it all the time starting at about age 4
I got hints tho they said “you can use front and back”
You cheated❤️🤣
bro??
Now, i understand why they put the puzzle on a mug. Because they've seen this!
It’s supposed to be 2D. Otherwise another solution is just to tear the paper apart and problem solved!
It is a 3D puzzle. We are so bounded to the 2D world thinking, unfortunately.
All this “solution” does is bury lines deeper than other lines. Which is crossing lines.
But the lines do "magically" pass through the paper, just on the edge rather than the middle.
why does this have 37 dislikes? i think this is the best solution because it's a real mathematical solution... changing from a 2D plane to a donut-shape is what allows more connections to be made.
I just found a scrap of paper in a pile of notes with this puzzle on it, along with the Ten Horses and nine stables puzzle, no rules just a pattern of lines and letters,.. Took me a moment to remember what it was and had to find if anyone else had had success, so found this video, thank you your demonstation is very clear... For now this scrap of paper is going in my memories book ( with added rules) to ensure impossible utilities can be attempted and enjoyed again and again.
6:17
Even if you make tow line frome back at sametime you crose the lines from front of page 😂😂sorry you fall.
The red lines were intersecting . You could see it through the paper :(
I don't think this is solving it but it's way better than the other two solutions
answer: dig slightly lower during construction
Its sopposed to be on a mug so you cant go like that
Could’ve shortened one red line but other than that no complaints
The one where they draw on the back could work but only if they printed the page double-sided
3D introduced
Been working on this sence 95
Não pde usar a parte de trás do desenho
it is impossible utilities problem for a reason
Well if you do take into consideration all the rules in the puzzle then it is impossible and I don’t actually consider this to be a legitimate answer because we all know that it’s modified. I do however feel like this is the closest you can get to actually solving it so whatever good job 👍
I can't bro You are the Best ♥️
You were NOT supposed to use the back of the paper or fold it in any way. You FAILED!
I first saw this problem on a mug, and the solution was to use the handle, the same way you could use a ‘donut’ shape, which in the above solution is demonstrated on paper. what’s your solution?
The objective is to get them connected on a piece of paper. It works.
My solution: my town doesn’t use gas (we use oil which is delivered to the houses) so instead we don’t need three lines. It works just fine.
Yeah my alternative solution would’ve been that nobody lives in the houses therefore they don’t need any utilities😂😂
Really cool video man a lot of people don’t know about this problem I’ve always wondered how many people have done this one
its a piece of paper
Correct :)
Ez 2 MaKe.
It’s been 3 years, why are you still answering?!
Jack Crossley-West, true, but there might be more to it and I wanna know.
Sorry, replied on my personal account😂 yeah I get the notifications and sometimes think eh why not😂
Ez 2 MaKe. Oh. Well, hot damn, you’re a cool guy. Your reward: 1+ Sub
The graph you have created is no longer planar. The key idea of the three utilities problem is to maintain the planar structure and by folding the paper, you have introduced ellipses to the problem which violate the laws established by the problem.
Houses are in a space with
X Y Z aka 3D space
So that could help
Lol my master craftsmen father laughed and said what a bunch of idiots, all these people would be fired the first day, he says your looking at a problem in a two dimensional plane, this isn’t the real world, he says if you run into a problem like this on the job (which he says nobody would that has experience) run the gas and water underground, not crossing and hang the f’n electrical wire on a pole and the lines never cross. Welcome to the 3D world lady’s and gents, problem solved!
Welp you see here buddy that's why your wrong the question as you can see is drawn on a paper and not In the real world so u til your farther can solve it on the paper then he can laugh lol
can you do a giveaway?
stfu
You copied the 2nd way... which is wrong
Then you wrapped the water around the paper - then folded it - but, didn't do the same for gas... how many rules can u break/make up to have this work?
No Good
So is this considered as 4d?
Imagine it as a mug or a donut, a 3D object with a path running along it’s surface.
@@ez2make288 thank you!
If anybody has a brain, they know the earth is not a doughnut therefore this doesn't work.
Are you saying the earth is flat?
:l
You are so smart