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If I'm understanding you right, you said you can run the lines over the back of the paper as well. Then why not run house two's gas from the back, so house three can get to the water by running a line on the right edge following the other two lines?
Onvacation says
And it's really like the way Liberals usurp everything in the name of Science.
I cringe when someone calls a logistical problem a math problem. Math is using numbers and formulas to solve problems. And once a proof is discovered it can be used on all similar problems. Logistical solutions are unique to the problem at hand, and math may or may not be required.
BTW, you repeated the same solution I posted to you .Where's my "A" in Logistics and Word Semantics?
If I'm understanding you right, you said you can run the lines over the back of the paper as well. Then why not run house two's gas from the back, so house three can get to the water by running a line on the right edge following the other two lines?
If you remove the line from House 2 to Gas, then redraw it going up, around the other side of the page, and then up to Gas, that allows you to run a line from House 3 to the edge of the page, then across the backside emerging on the LHS of the page so that you can connect to Water.
Where's my A?
Why don't you move the utilities and houses around?
Also: https://www.archimedes-lab.org/How_to_Solve/Water_gas.html
I cringe when someone calls a logistical problem a math problem
BTW, you repeated the same solution I posted to you .Where's my "A" in Logistics and Word Semantics?
Also: https://www.archimedes-lab.org/How_to_Solve/Water_gas.html
The rules say you can't cross any lines, houses and utilities included.
Is there a line crossed?
komputodo says
The rules say you can't cross any lines, houses and utilities included.
It does say on the page that the wording is imprecise and that you can through (the back) of houses.
I would give each house their own resource (like directly on top of it) then they'd all just mete out the rest as needed. Less external piping needed. Until corruption takes over or lines cross, whatever arbitrary rules there are.
mell says
It does say on the page that the wording is imprecise and that you can through (the back) of houses.
Nope.
DhammaStep saysI would give each house their own resource (like directly on top of it) then they'd all just mete out the rest as needed. Less external piping needed. Until corruption takes over or lines cross, whatever arbitrary rules there are.
Nope.
Us 14 year old's thought of these solutions and our teacher rejected them. I probably spent more time on this problem than homework for math or my other classes.
The only way this can be done without the lines crossing is by allowing one of the lines (it doesn't matter which one) to enter a house or a utility company and then emerge from the building on the other side.
In fact, the wording of the puzzle is a bit imprecise and doesn't forbid lines to go through the houses or to use the third dimension!
Nope. There is a solution that doesn't cross any lines. It does require that you use both sides of the paper.
Does it require folding it like they say, i.e. taking advantage of 3 dimensions? And is it the solution on their Facebook page? Just so if I find some time that I don't look it up beforehand
Try it. You will find that one of the lines is still blocked.
Nope.
Us 14 year old's thought of these solutions and our teacher rejected them. I probably spent more time on this problem than homework for math or my other classes.
Also for this to be a problem it has to have a solution.
Onvacation saysHint: You need to use both sides of the paper, with a twist.
Hint: You need to use both sides of the paper, with a twist.
If you remove the line from House 2 to Gas, then redraw it going up, around the other side of the page, and then up to Gas, that allows you to run a line from House 3 to the edge of the page, then across the backside emerging on the LHS of the page so that you can connect to Water.
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The problem: Connect each house with a line from the gas, water, and electricity companies without crossing any lines. You can put the houses and utility companies anywhere you want. You can use both sides of the paper; when your line gets to the edge just continue over to the other side.
My math teacher said if we solved it he would give us an A for the year. On top of that he said if we solved it in high school he would talk to our math teacher and get us an A.
I spent a lot of time the next 4 years attempting but never solving this problem.
It seemed there was always one connection that could not be completed without violating the rules.
Has anyone seen this? Has anyone else solved it?