The Spring Paradox
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- Опубликовано: 26 сен 2024
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So it turns out Up and Atom made a video about this a while ago( • Braess's Paradox - Equ... )! Thanks for bringing that to my attention commenters! I've just watched it and it's really good! The whole channel is fantastic actually. Check it out!
This spring paradox is actually an analogy for Braess's Paradox which is about traffic. The surprising behaviour of the springs when the blue rope is cut is just like how journey times can actually go down when you close a major road, even with the same number of journeys being made.
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So it turns out Up and Atom made a video about this a while ago! I've just watched it and it's really good! The whole channel is fantastic actually. Here's her video: ruclips.net/video/cALezV_Fwi0/видео.html. Sorry for copying your idea, Jade!
You can also discuss this video on REDDIT: stvmld.com/ph999g87
Can you please do a video on the particle physics illustrated by cars in a traffic jam? I've always found the traffic flow parallels so interesting. If anyone can convince people to have a 2-3 car length from the car in front of them you can.
My reaction is that the blue string is NOT under tension -- at least no more than the springs are. So the weight should stay at the same level. It moving up was no more surprising than what you expected.
Thanks, I thought I was going crazy... like: I've got a deja vu of exactly this video, but with a female presenter. Turns out I'm not completely off the rails after all (yet)
@@Blackmark52 The blue string is quite clearly under tension; and as you pointed out, so are the springs... they're all in a line (in series) so they all experience tension in that arrangement due to gravity
Pinned by Steve Mould 25 minutes ago (edited), "So it turns out Up and Atom made a video about this a while ago! I've just watched it and it's really good! The whole channel is fantastic actually. Here's her video: ruclips.net/video/cALezV_Fwi0/видео.html. Sorry for copying your idea, Jade!"
So, Just as in your analogy, here we have two independently created IDEAS, seemingly connected, but each independently carrying full exposure, and so we the viewers(and subscribers) (Jade's 331,000 and Steve's 1000000 subscribers) both receive the benefit. I just subscribed to Jade's Channel as I expect many others will. I say ALL BENEFIT!
"You're NOT stuck in traffic, you ARE traffic!"
This is one of my favourite sayings
I am become traffic, the destroyer of commutes.
I'm stuck on the road being traffic
"It's not about the size of the traffic, but how you use it".
@@SteveMould the way you explain difficult things is the best way.... U R just awesome... supercalifragilisticexpialidocious..
A "Hectocar" is my favourite unit of measure.
Who knows, maybe rich people use it on regular basis.
As long as their speed is measured in Hectofurlong per Hectofortnight, of course.
Fore US viewers: 1 hectocar = 0.69444... grosscar
Yaa that's clever.
An alternate unit could be the Leno, named for the American comedian with at least 100 cars.
I heard from a Google developer at one point that Google maps already is acting as a hive mind in this sense, recommending routes based on what will improve the time for everyone.
Interesting!
Didn’t waze do that first then get bought by google?
Oh! That explains why Maps sometimes recommends a non-optimal route for me personally. When I noticed, have ignorantly chosen to go the way that was fastest for me.
My thoughts at the time were that Maps was routing me around a traffic jam that had already cleared. In reality, it was routing me around a potential traffic jam that hadn't formed.
I will try to follow our well meaning robot overlords more often.
Oh...so all of the times I find a better route, I actually did not outsmart Google?!
@@hamjudo Hey, this just happened to me very recently on some very short distance travels, say few crossings. Google provided me with a clearly "wrong", longer, more turn route instead of a straight (!) route.
This is the opposite of click bait. Dragged me in with something simple yet cool, showed me that and then provided something even more complex and cool. Well done!
"or you could consider that I'm making a video about it so it's probably the counterintuitive answer"
This is why I love this channel
cause you are cringe?
Yea,most of the channel will go ThIs WiiL BLow YoUR MiND
@@citationneeded2093 Why? Seriously, why? And don't answer "it's funny" or "to trigger people". We're not triggered, just wondering.
@@WritersMoment I don’t know why the person is saying that for certain, but I suspect it’s for attention. (And also because this is the internet and whatever you say is basically anonymous)
I’d recommend not responding in the future. Some people feel that they really need the attention, even if it’s negative attention. But that is a very unhealthy way to go about things. So for the sake of your time and this person’s mental health please don’t respond to these sort of comments in the future.
@@sammmmmp1455
Nice paragraph cringelord
"What'll happen if I cut the blue hope?"
Obviously explode. It's never the blue wire Steve, stay safe
Bro he should've cut the red wire
Cuts blue rope < atmosphere turns to flames
How many batteries are on it?
cut the blue rope? whats next, people are gonna be marrying their dogs????
:D
I would definitely take a longer route if it’s less congested, even if it takes a couple more minutes. It would just “feel” faster & less stressful that being single-file
A driver who want to go fast would take the blue route, but a driver who HATE WAITING like myself would take the longer route, even if I know it is likely to take longer.
3:47 Что за грязные двухцветные тряпки висят на домах?
@@РоманСмирнов-ц1ы, probably the Russia flag
Exactly what I do everyday to college.
@@wargreymon2024 You're also forgetting drivers that care about efficiency. I take the more efficient route, even when it's slower.
I've definitely done this while playing Cities:Skylines. Sometimes the best way to solve a traffic jam isn't by adding, but subtracting.
You end facing this solution in all recent city builders
It's more of an optical illusion.. some of the endpoints and connections weren't realized until after the cut
that's usually because they despawn
how is it ? how to subtract the traffic ?
Just like real life! Induced demand and chaos from lane switching
A hectocar sounds like a really uninspired late generation Pokemon name 😅 Great video, as I highway engineer I am ashamed to say I was completely unaware of this law!
New method to try in Mini Motorways, maybe?
I'm thinking about the game and how I play it "the wrong way"... Wait for new gameplay videos with this knowledge!
oh, hi Matt
Hi Matt, fellow engineer here:) hopefully you use this in mini motor ways lol
Good to see the engineer doing engineering things
Something to note to help explain this intuitively, glancing at the initial setup makes your brain equate the red rope with the bottom spring and the green with the top since they are next to each other respectively. However, when you look, the force pulling on the red rope is actually the top spring and the force pulling on the green rope (when the blue is cut, of course). So, the springs can pull the ropes to overlap which helps make the weight rising make sense
Nice!
Yupppzz!
put another way, the springs go from being in series to parallel, where they see 1/2 the weight, and the total stretch is 1/4 since the "stretch" isn't in series anymore, which is significantly more difference than the slop in the strings. edit, yup that is what the video says :)
whats funny - i couldnt figure it out from looking at the configuration, but as soon as he cut it and i saw the result i immediatly exclaimed "its going from serial to parallel!" XD
Thank you budd. You saved my 9 minutes and 30 seconds.
Lesson learned: tiny taxi drivers cause the spring to go up when the blue rope is cut. You learn something new every day!
wow!
Luke skywalker to Kylo ren: Amazing! Every word you just said is wrong.
I'll be dang!
they’re electrons
Yes
I, commonly, choose a slightly longer route to avoid traffic. I see quite a few people doing the same on my rush hour commutes. We don't like sitting in heavy traffic. It's just too stressful
First of all, I do that too. Secondly, your sentence works [better] without the two commas. Or switching the two words (and making it one comma) would also work quite well
Agreed. I will do anything to avoid standing still which makes the journey tedious for me.
@@idontwantahandlethoughno, both of those commas are necessary. That is the correct usage of apposition.
@@idontwantahandlethough both with and without are grammatically correct. They just emphasize different things
I prefer to potentially drive longer in order to gain the benefit of a more reliable eta (by avoiding traffic)
If you're trying to look it up, "Bray's" paradox is actually spelled "Braess's" paradox.
So it’s a silent double S? What is the point of letters? May as well throw in a few silent Ns, a silent F and a G that sounds like an L for good measure.
@@orangeapples yes, English Spellings need a reform.
@@AndersJackson Dietrich Braess is German.
At 3:13, with captions on, it says that.
@@AndersJackson That is very obviously not english
As someone who lives in a heavily traffic city, I can honestly say that I rather take the longer timed route but be driving without any traffic than take the quicker route but be stuck in bumper to bumper traffic!
I know that's not what this video is about, but since he brought it up, I wanted to chime in my personal preference.
Don't worry, anyone who has ever owned a car with a manual transmission understands completely. I would get off a stop-and-go freeway in favor of even slower surface streets, just because the stop-and-go cycles were longer and I wasn't constantly clutching and shifting. Rally cars can be shitty daily drivers. :)
As someone who drives a manual transmission, my left foot agrees
@@mal2ksc my solution to the problem of a manual transmission in stop-n-go is to make a game of it: how much more smoothly can I drive than the person in front of me? Managing a constant speed is, IMHO, easier with a manual than an automatic.
@@benjaminshropshire2900 The problem I've found when trying to do that is twofold: 1, leaving the appropriate gap to smooth things out either has cars constantly jumping in to fill that gap, or annoys the people behind me (even though we're not actually losing any time), and 2, sometimes the traffic is slow enough that the engine lugs even in first (or the clutch needs to be slipped for far longer than is good for it).
I agree. Similarly, I'd usually rather wait extra time sitting or standing somewhere nearby than spend a shorter overall time waiting in a line.
"I'm making a video about it, so it's probably the counterintuitive answer."
Crap, he's onto me. No one tell my high school teachers (and some college professors).
he's making a video about it, holy fuck that's an easy 30 grand for the already rich youtuber fuck.
@@tommytomthms5 wut?
@@tommytomthms5 what do you snort? You need to stop asap.
@@ItsIdaho With the quality he's got I'm sure he can afford it.
Came for physics, stayed for game theory
that's how they get ya. I would know well, as I, too, watched the full video.
Xddddd
Ah yes, the Nash equilibrium
Fascinating! You can also explore the concept of resistance in traffic, via the introduction of nominal congestion charges. By adding a cost to the use of certain roads, you're essentially adding a resistor to a circuit. You're making the route less attractive without removing it, and thus changing the dynamics of the system.
Interesting!
You can also add traffic-calming measures like converting lanes into bike lanes, sidewalks, or medians, reducing speed limits, replacing lights with stop signs or 2-way stops with all-way stops, adding speed bumps or raised intersections, etc. By making a residential through-street less enticing to drivers, you can end up with a situation similar to the one he describes the "hive mind" choosing (a superrational choice).
At that point it's hard to fit to these simple physical models, since it relies on different drivers valuing expence vs time differently.
Each driver had a different "cost function" to use a machine-learning term that values expence and time differently.
Yea that's what I was thinking. By charging prices for the silver+blue+silver route,those that really need to make the quick trip are able to do it. Additionally automatically increasing the price in proportion to the amount of vehicles using the route will in effect increase the "resistance" in the circuit. Of course the price will be premium but "time is money". This will also make it better for the buildings that only use the blue road.
we do the more socially just thing already, its speed limits and other traffic rules for residents 🙄
A sufficient high price such that it would have an effect could actually be problematic because it ties the "privilege" of using the road to money which is unbound.
However enforcing of the traffic rules does need to incur non-monetary penalties eventually to be different. (in Germany that's the temporary or permanent los of your otherwise indefinite drivers license)
A physical analogy for the Nash Equilibrium! The reason that locally optimal systems are not necessarily globally optimal (see also: climate change and many other social problems).
@@2000jago People seem to like his comment. You must go to interesting parties...
Cool. How does Nash Equilibrium explain how solutions are unable to scale? Is it because the personal incentive to break the law for profit on large scales?
@@tonyhinderman Wasn't he saying that optimized local solutions may not exactly mirror the overall global optimized solutions, even while contributing to the global optimization?
@@hattielankford4775 Yes but I'm asking why, it's clear that they don't mirror at scale, but if applied why would local solutions break down?
@@tonyhinderman One silly example: they discover the globally optimized system consists of 32% solar, 33% wind, and 35% duck, but there are no ducks locally.
this is just really neat, like the kinda thing that interests me the most. A simple and self-evident thing that's still counterintuitive but ends in an "aha" moment
There's a related effect called the Downs Thompson paradox. To the effect that the equilibrium speed of road traffic is determined by the average door to door time of the equivalent journey taken by public transport. In other words, if you have a city with a public transport network, speeding up public transport also speeds up the road network. So if you've got a city with congested roads, your best solution might be to speed up the trains, rather than simply widen those roads. (Yes, I'm thinking of you, Sydney).
My experience of NSW Transport planning is that wider and more roads generate more votes than faster trains, another paradix maybe 😂
Never underestimate the power of politics to stuff up transport effectivness.
@@barrieshepherd7694 Never underestimate the banality and shallowness of human minds.. roads get more love because people are more familiar with them and because the roads lobby has had all the resources to promote them. You need to get people to understand that high speed trains are better value - for them personally. Takes time.
That's why it's a problem when buses get stuck in traffic, if the buses are stuck in traffic they will never be faster than cars, leading to longer car times since no one switches to public transport.
@@saumyacow4435better value according to you. To anyone who values privacy, cleanliness, or even basic peace and quiet they do not even remotely offer any better value. Given that's most people, I think the flaw in this logic ought be fairly obvious, but when you decide that your personal value weightings must apply to everyone whether they actually agree with them or not I guess that's easy to miss
@@felixjohnson3874 You should Google 'the tragedy of the commons'
"No driver wold take the longer route" You underestimate my desire to maintain velocity vs my desire to be efficient.
Also if you are risk adverse you will take the route that will never be obstructed by an accident thereby causing you to take longer than the longer route.
It's okay to take longer as long as it doesn't _feel_ like you're taking longer.
if we go faster the longer route is shorter!
I will gladly take a 50 minute low traffic route over a 40 minute stop-and-go traffic route almost any day of the week. After work, traffic is much more of a hassle than an extra ten minutes.
I was thinking the same thing. It's the psychological effect of "at least I'm moving".
Super interesting! I was expecting a “eh” video and now I’m showing this to my collegues (I’m a civil engineer and didn’t know this). Truly came looking for copper and found gold
Never look for copper on Steve moulds channel, you'll be hard pressed to spot any.
7:58 In that "Utopia" The car would say: I'm sorry Dave, I'm afraid I can't do that...
"Open the garage door, Hal."
Just where do you think you're going, Dave?
"Stop calling me Dave! I told you my name is Allan!"
I'm afraid, Dave.
time for your regurarly scheduled amazon advertisement dave
So one advantage of public transport is that, because it is centrally planned, it is a partial hivemind.
7:25 Actually, in The Netherlands we have this. Certain faster roads are blocked for normal traffic. Only busses, emergency vehicles, and permit holders (people living in the vicinity of the road) can use the road which is enforced using cameras that function like speed trap cameras.
Classic Netherlands.
"If only humans understood that working cooperatively in this scenario would improve the whole system. Alas, it will never happen"
Netherlands: *coughs*
@@seann4678 well in America it'd probably be seen as "racist" or some other "ism" to not allow X or Y person to use that road whenever they want lol. So I don't see that happening here anytime soon.
We have many roads that could be used to cut down travel time, but have sign Not for motor vehicles, and text sign "Driving on the plot allowed". But if people started to use it as shortcut, people living there could call police about that, and nobody wants to get a ticket
It exists in the UK too, roads meant only for buses. It causes an issue sometimes with sat nav that thinks the road is accessible but isn't.
@@RamAurelius which is incredibly ironic because poor non-white neighbourhoods are commonly bulldozed to make space for roads in america
I'd love to see this in slow motion. In the frame after you cut the string, the weight is already moving up, but there is a finite signal travel speed along the springs and strings, so it seems possible that (with the right configuration) the weight might briefly be in free fall before the tension from the top spring "catches up" and pulls the weight upwards. In your setup it seems like the top spring might always bring the red string taught before the lack of tension can propogate down the bottom spring to the weight, but adding additional slack should fix that.
Edit: my explanation is probably wrong, I forgot about the "slinky effect" that would probably see the weight be stationary.
Yeah the solution and state of the spring is time dependent after the cut. The springs very quickly makes the strings taut. Until the red and green strings are taut the weight should be in freefall. Once the strings are taut the momentum of the springs will work in unison to "bounce" the weight upwards, then it will jiggle down and up until it reaches steady state at the higher position per the video.
I believe that's not quite the case, you'll rather see the weight hanging stationary. The reason why the mass flies up is because you've just doubled the spring constant, and so the force has been doubled. I can't think of a good physical explanation for this though
@@luke8324 I believe there's an important caveat there. The bottom spring is under tension and the bottom end of it doesn't "know" it's been dropped until the compression wave from the top of the spring reaches it. So you've essentially got two competeting effects racing each other to reach the weight.
@@jadewhite766 I think Veritassium did a slow-mo analysis of dropping an extended slinky from the top.
Yes, had the lengths of the red and green strings been long enough, the weight would've remained stationary immediately after cutting the blue string and then may have moved up or down depending on whether the strings become taught first or the tension in the spring just above the weight becomes zero.
This perfectly describes Electric Resistors as well! I always had trouble visualizing series and parallel resistors in a circuit but this makes perfect sense. Thank you!
Electron flow is nothing like this example. Electrons always use any available way even if the resistance in one is way more than the others. Here the ropes have no tention at all when the springs are beeing used
@@InstaLabSparti Its reasonable to compare the two, since more electricity would flow through a path of little resistance compared to one of high resistance. Having two resistors of the same value in series would cause a higher equivalent resistance than the same resistors in parallel, which i think is enough to justify a comparison.
It’s actually better to think of it inversely. Springs in parallel are similar to resistors in series and spring in series are similar to resistors in parallel.
You can think of the voltage across the resistors to be comparable to the tension force in the spring. And the current is similar to the speed at which the spring moves (but that’s for dynamic systems and more complicated, here we’re looking at the system at rest).
Say you have two resistors of equal value in series across a 10V source. Each will experience a 5V drop across each one.
Now take two springs of equal value and attach them to the ceiling in series and hang a 10lb weight from them. The top spring has 10lbs of force hanging from it, and the bottom spring also has 10lbs hanging from it. They’re both experiencing 10lbs of force.
But now put those springs in parallel and they’re going to equally share the weight, thus each one is experiencing only 5lbs of force.
Hopefully that makes sense. If you wanna learn more look up Bond Graph theory.
@@Shancyyy That makes perfect sense, cant believe i didnt think of that. Thanks for this!
This concept describes most of the forces in physics
We do have a similar situation in my town. Instead of going through town which is less miles to drive, I take a longer, less traveled outer road north of town and get to work faster than those driving through town. But I know it's not going to last forever.
Years ago there was another route south of town that a few people used to do the same thing to avoid traffic, but as more and more people found out about it, it eventually became as slow as driving through town. It's only a matter of time before the northern route also becomes a traffic hazard.
I know people that still drive on the southside of town but take an outer road that is further south than the previous southern route, and they say that's quicker because it avoids much of the city traffic. And that's about it - our outer roads are just becoming bigger and bigger circles around town.
From an urban planning point of view, main regional roads belong outside of town anyways, as cars shouldn't be going over 30mph inside any city in the first place
You could allow the blue road for only public transportation and emergency services.
Also maybe a subset of the blue road can be used by local residents only traveling inside it, with no access to the grey road outside.
In real life is you have a good, ambitious traffic engineer, not the most common kind who does not care, he'll try to make blue road undesirable for long rang traffic, usually by putting limits, eg. speed limit, weight limits and such. Then nine times out of ten, local politicians will overrule this. Sometimes it can cost an engineer his job. That's why most of them choose not to care.
I prefer the human hivemind idea
You can't make a road only for public transportation if my tax dollars go towards its upkeep. For that matter, the shipping industry can have all of its own delivery highway system too and keep the big trucks off mass transit lanes. I mean hey since we are pretending anyway we might as well dream big.
@@dominodoggy1 what you got there are dedicated freight rail tracks.
@@magic_cfw haha wouldn't that be a lovely invention! EVERYTHING needs to be rail except last mile. Call me crazy.
"Robert, it goes down."
"It don't. It don't go down."
"Robert, _it goes down."_
"No, it don't."
"IT DO GO DOWN."
"OHH"
It does go down until the ropes have load on them.
yeah, I don't get where the paradox is. It would be if it went up without the red and green ropes.
@@vanoscrap6296 not a paradox, just a local maximum
@@vanoscrap6296 its not an actual paradox, its only a paradox in the sense that it acts antithetical to human intuition.
I love this information… I just told my friend “I’m not sure why I’ll ever need this knowledge on traffic paradox but now I have it!” Lol although it does make me realize that I’ve been having a valid argument with my dad about traffic being a factor in which route we should take regardless of how the freakin crow flies! Lol
Especially with rising gas prices now, a longer route with less traffic may burn less fuel than a shorter one with more traffic that requires frequent breaking and accelerating.
@@thomasbrand2650 This was always true, just most people never think about how much it costs them to drive. They just think about time..
To solve this problem you need to count traffic. There is a point cutting the blue route becomes fastest. So if traffic is below that point the route can be open, if it is above it then it closes.
(to solve the House to House route, you can think of a 'blue route' that is really slow. If the main route is 50 km/h and the alternative is 10km/h with obstacles, probably no one will take the shorter route even if it is (slightly) faster, unless you specifically need that route to go from house to house)
"Unfortunately, humans don't form hive minds." Is my favorite lesson of the day
It's never going to happen, is it?
@@AndreLuisPorto it's for the best. We're not a drone species.
Despite some people seemingly being part of an hive mind, but that's beside the point.
It's not unfortunate at all. Individual thought is a good thing.
What's a hive mind?
Thats not unfortunate thats indiviualty if you dont like it move to a bee hive
One thing was overlooked here:
Adding weight (or traffic) will eventually stretch the springs (or extend the narrow road travel time) to equal the red and green in length. The red and green will bear all excess weight (or cars) and the blue will become merely a conduit for the excess. At equilibrium, the blue will have no weight load (or traffic load).
He explained that with the movable blue string seeing them equal out.
@Edwin Thomas make sense, thank you
@Edwin Thomas That's already illustrated in the road paradox. When the number of car is 7 or less, the blue route will have 15 minutes travel time (the same as the red/green route). *THAT* is the point where the weight switches from the blue route to the red/green route a.k.a. the moment the strings become taut. Any more car/weight after that point and the string/road will automatically switch the load/traffic to the red/green strings/roads.
The red/green strings/roads will get more weight/car until their length/traffic starts being more than the blue route/string and at that point new weight/cars will go through the blue string/route once again. In the road version this traffic balancing between red and green and blue route doesn't have a hard limit, so the cars will distribute evenly forever. In the string version the length balancing has a hard limit, which is the red and green string's elasticity. Once their elasticity is reached, the red/green string can't get longer than the blue string, so the weight can't distribute evenly forever. They can only get more taut until their tensile strength limit is reached (all the while the blue string doesn't bear any weight), snap, and the weight will all return to the blue string.
@Edwin Thomas
I think you also left out one aspect there. The springs will not just stretch until they're as long as red and green, but rather as long as red, green, and blue combined.
Transferred to the traffic illustration, additional cars will then start to take the blue road again, but in the opposite direction (route: green>blue>red).
The blue road should only be closed in a specific range of traffic volume. On low as well as high volume, it will decrease travel time.
The length of the rope defines minimum trip time at low traffic volume (with the springs assumed at a length of zero).
The length of red / green determines the lower limit when blue is locked.
The sum of red, blue and green determines the upper limit with blue being open.
Whereas with blue being closed, there is no upper limit.
The road example is a demonstration of a solution to the classical tragedy of the commons in game theory. Great video, thank you very much, Steve!
It's an interesting concept in relation to city planning - maybe constructing short, fast routes, but reserving them for emergency vehicles only could improve travel times where it matters most.
some places do this, they cut off roads and streets to most cars with the exception of emergency and perhaps delivery vehicles. people end up walking and cycling more through these areas and reduce the overall traffic time (the same effect of the road being so wide that it never gets congested, except its less cars instead of a wider road)
Even better when you reduce the volume of traffic to begin with by providing alternative methods of transportation, like trams or trains.
If you have enough emergencies for that to be worth it, the roads aint your fuckin issue
@@felixjohnson3874 I don't think there should be a prerequisite for the number of emergency vehicles/emergencies; it should just be there, readily available, as an option.
@@regulate.artificer_g23.mdctlsk Give 80% of your annual income over to the government to pay for it then say that sentence again
Make the blue road a cycle route. Happy days!
Yes, but maybe allow cars but drastically lower the speed limit, so people who only have to travel that short bit can take it, but it's slower than red/green is for the on going traffic
let's call this the "Dutch solution " :-)
or more helpfully a bus-only route. which will mean fewer people drive, speeding it up for everyone. .. i mean it's a massive highway, we can do both.
@@mralistair737 yes, there should be sufficient space for both a bus route *and* a "bicycle highway" .... and maybe additionally an electric tram (or a suspended monorail above it, like the "Schwebebahn" in Wuppertal (Germany) ) ... :-)
The actual solution in this case specifically, as well as many similar real world cases is to close the road and build a through footpath. It's OK to have routes that are faster to walk or cycle than drive, in fact it's one of the best things you can do to improve traffic.
It's reasonable to ask people to take a 3 minute walk rather than a 1 minute drive.
Or just put a toll on the blue road and give the locals a free pass. The few who are willing to pay to get from A to B won't change the big picture too much if the toll is high enough.
@@pRahvi0 I think the toll should go on the grey roads. Those are the ones where driving on them generates a negative externality for other drivers.
@@OscarCunningham
You are wrong. Those Grey roads are the roads that need to be used to keep things efficient. You need to disincentivize the blue road only. The goal would be to encourage use of the parallel roads and not the blue, so the toll goes on the blue only. The toll would be such that it’s cost would be less than that of a round trip if the road were removed and you just had to get across the blue road, but high enough to dissuade normal use.
@@OscarCunningham That doesn’t make sense. EVERYONE is driving on a grey road no matter their route. That would mean that EVERYONE would need to pay a toll.
@@FilmFlam-8008 On second thoughts they're actually equivalent solutions. Everyone has to travel on at least one grey road. And they travel on the blue road if and only if they travel on both grey roads. So the two tolling schemes are the same, except that mine charges a fixed amount extra to everyone.
I still think that a toll on the grey roads is the best way to think about it though, since it's the grey roads where travelling on them slows down other drivers. I expect that on more complicated networks that kind of toll would still give the correct solution.
this reminds me of a situation- finding a good empty hang-out spot and going there frequently, and later finding out that other people also started going there and now the spot isnt empty anymore
7:17 in a urban planning setting couldn't the blue road be a footpath/bicycle path? It wont let cars through, optimizing the system, whist also encouraging people who live around the area to walk/cycle there.
Oooh! I love this.
I was picturing this as 2 major Cities and a small town inbetween. They put in a larger section of Highway to alleviate cars going through the town during rush hour.
Yup, and this is exactly how the netherlands does it.
Or a dedicated bus route!
If it was a bike path it would defeat the entire purpose. The model is meant to illustrate how different routes changes efficiency when transporting a variable number of *cars,* so of course you'd have to compare *cars to cars* to actually have the efficiency comparison meaningful.
The point is, when two equal human being is going from the same place to the same destination, their greed will undo each other. They need to be deprived of the best route altogether for them to ever benefit. If you're having problem with the best route going to waste, you can make it an exclusive route for buses or ambulances. That way those vehicles that actually *need* the best route can still benefit without other human's greed undermining them.
I think there's an allegory for our reliance on Amazon and big box stores/super markets over regular stores. Like the number of choices at Walmart are much higher than any other individual store, making them more convenient for shopping, but since they kill off all the smaller, mores specialized stores the total number and quality of choices available in the town are much lower.
Not really the same as you are only getting one of each of those choices. Like if my local store closed and that’s where I got my milk, I’d just get milk from the super store. You can say the number of choices decreases but I only wanted on milk regardless of who sells me it.
@@MysteriousStranger50 OK, but you're thinking of a commodity. The original comment's point was probably more to the line of clothes, tools, furniture, etc., for which choice is relatively more important.
The illusion of choice
My guess: at the moment the weight is suspended by one line with two springs so each spring is suspending the entire weight with no assistance from the other spring, with the center line cut it will be held by two lines with one spring each. So effectively halving the weight on each spring so it will move up due to the springs contracting even though the strings will no longer be slack.
Tension downward will become zero instantaneously . But spring force still acts upwards, so both spring will compress by moving up
The upper spring is holding the weight and the other spring as well (just a detail)
@@Ryuk-apples if they are of equal length then yes. Mg/2 each
@@harshlodha2056 the upper spring is holding the weight of the blue line, the second spring and the metal weight.
The length of both springs has no effect on what I said.
Please spare me the trouble of coming back to explain my statement further
@@Ryuk-apples I didn't consider the extra weight on the top spring. I guess the effect of this would be that when the centre line is cut the springs contract slightly differently, I will have to rewatch to see if I can notice what effect this has on the movement of the weight, I'm going to guess it is a factor in the weight wobbling sideways slightly and not just directly up and down.
I deal with this exact traffic paradox daily and can say in practice it literally does play out like this
This is a great analogy, could be applied to electrical, mechanical/ structural, and even fluid movement to explain the series/ parallel relationship.
What we need is city planners to hire mathematicians before deciding to build by-passes, that way maybe Arthur Dent wouldn't have to loose his house.
Well, the house would've been destroyed anyway, along with the rest of the planet.
Great reference
*hire*
@@Rx7man I am slightly ashamed I didn’t catch that before pressing submit. Fixed it.
@@Rx7man Now see whether you can catch the other spelling error.
1:00 You should make a video where are the puzzle solutions are completely intuitive, which will make us guess wrong every time :)
people don't realize how Google shapes traffic, it's pretty interesting. It's like a hidden feature of using google maps to get around, but it's also kinda creepy at the same time.
The “Blue Route” analogy means so much more for anyone who lives in Delco, PA.
explain
Blue ruote is what locals call the one highway there. Can't remember which one tho. Also Delco is short for Delaware county jsyk
@@benf262 476
@@NotRJPrince You mean the turnpike?
was gonna say something like this but i knew someone else had to already lmao
"Broad and easy is the blue road that leads to destruction."
Best & cleverest comment I've seen in a week.
Props, and you have your first subscriber, Erik D.
When you expressed your "intention" to cut the blue rope, then described the blue rope as being "in tension," it broke my brain for a second.
I feel like I've unlocked a new level of consciousness that I can't even begin to put into words
lol
Word Play is Awesome!
Sometimes it takes a moment to catch it. Other times, it just clicks and I volley another back at 'em. 😂
happened in my country, just exactly as you explained it here. years of having one congested route then gov decides to put concretes jerseys (cut the route) and reflow the traffic through another exits to main streets which were parallel to each others. now there is no more heavy traffic after years of being stuck streets.
I'm going to bet people complained, a lot
Thanos: "This is too complicated, I just cut the population in half."
It's a reverse Marx generator, but with springs instead of capacitors!
that's actually Interesting!
Isn't that just Kirchoff's Law? The red and blue ropes have no tension, just like the Kirchoff's junction have no voltage. When you isolate one of the paths in Kirchoff's, the junction becomes in parallel, much like both springs now are parallel...
I dont get it
I was thinking of something along these lines... 👍
@@caracaes check out Photonicinduction touching high amp low voltage .. resistance sometimes is not futile
They are deploying this method in Utrecht next year. Their solve is not by removing the blue route, but handing our permits to residents and other exemption holders (police, ambulances, etc). Best of both worlds!
“Unfortunately, humans don’t form hive minds”
Clearly you’ve never been on Reddit
I believe you're thinking of "Mob minds"
@@kevinmcdonough9097 lol much better description. and this quote fits reddit pretty well.. "The iq of a mob is the iq of its dumbest member divided by the number of people"
Reddit and Twitter are prime examples contrary to his statement
Lol I came here to say just this, but r/beatmetoit /s
@@lanceanthony198 I was gonna say. Twitter too. Facebook is honestly getting close.
This is where "local traffic only" roads come into play, and where navigation services need to actually avoid them properly.
Nav systems are a special kind of hell. Yes, they definitely help, but they make things worse by helping. Plus the more you use one, the more dependent you get on having that little moving map.
@@dominodoggy1 it's good to use them when going somewhere new, it's also good to look at the general way it's taking you, and if you know a way with fewer back roads to get to a particular arterial road, to go that way instead. Once you've gone somewhere a few times, you shouldn't need it any more, and once you've been enough places you shouldn't need it for as many things
@@Cheesus-Sliced I use it almost everywhere I go, but not for the actual directions. I do it for traffic.
In Austria they forbid some local routes for long route travelling tourists. The Nav-Programmer after a short time adopted that in their programs. So you can do so but should communicate to Nav-Providers in advance so they can put it in their software. Was a total chaos for some weeks.
Bit there's always going to be an option to turn off avoid local roads because, well, there are certain users that would want that. And the propensity for humans to be a dick is surely going to override the benefit.
3:58 I love how you insist on using an absurd unit for the amount of cars, while omitting the units of time.
dont need a unit of time if its a variable that you dont plan on changing.
ps. for anyone that uses metric it's not really absurd.
@@Rembo2662 Your physics teacher would disagree. The only time you can omit units is quantity (e.g. the amount of cars). Even constants need units for the final result to be in the right units. And I know what hecto means, it's just almost never used anywhere. One I can think of is hectoliters, which is used sometimes in the beverage industry.
@@niklaskoskinen123 Hect* is used a lot also in surface area, at least in Spanish: "Hectárea". It is a little counter-intuitive though, because we use hectárea to determine a surface area with 100m on each side, so 10.000m^2.
Also yeah, units in this specific problem (the one showcased in the video) are not really needed. This is because he's comparing the time it takes for you to travel from A to B in comparison with taking an alternative route. So if we take minutes or years as a unit, then all time units become that and everything is correct, because it's all relative. Idk if that makes sense. Units *are* needed with the amount of cars because he wanted to specify how much that amount of relative time changes, whenever a specific amount of cars enter the network. So units in this case are only needed for absolute magnitudes, not for relative ones. Does that make sense? Idk lol.
@@manelcastillogimenez194 Yeah I get the point. For the final result the units of time cancel out so it doesn't really matter what units you use. By the way, 1 hectare is 100 ares, so that makes sense. 1 are would be a 10m x 10m area.
@@niklaskoskinen123 Oh I see. Didn't know that, thanks.
From the 1st minute of video, it took me a while to figure out the paradox, but I now see why it goes up. In its initial state, the 2 springs are in series. They both carry the full load of the weight. Once the blue thread is cut, the 2 springs carry the weight in parallel: one connected to the red thread and the other connected to the green thread. Because they are in parallel, each spring now carries only half of the weight (assuming the springs together with their threads are the same length, otherwise one of the two carries a slightly larger load than the other). The gravitational force on each spring is therefore halved, which means that the amount of displacement of the spring is also halved
I am impressed with myself for keeping up with this video. I didn’t have to play it back once. 😂
what did you do with the almost 10 minutes of life time?
Mommy is proud
@@ypey1 Thank you for your insightful response.
@@CM-mo7mv I ate some Mac and cheese
I'm a little suspicious. I mean, there's no way a science video can be _this_ easy to understand, right?
Thinking about the forces in this problem reminded me of the Hyatt Regency walkway collapse, and how a small change in the design can completely change how the forces are applied.
1:20 "the blue and green ropes are slack" - surely this is red and green?
My brain autocorrected for that. I could see what he meant.
Excellent demonstration, explanation, and extension to other domains. Triple word score!
Thank you for brining back realism back again at the end.
In the physical spring example, it also depends on the length of the red and green rope in relation to the spring constants and weight applied. For example if the red and green rope were extended to double their initial length while all other items in the setup remained the same, the weight would lower once the blue rope is cut.
The same applies for the cars, if the roads are too long the time wouldn't reduce, even if we close the blue one. It will actually increase.
I mean I havent watched the video. But ai dont think the length would change. The weight hasent changed so why woukd anything else.
@@EvelynnTheBorderCollie let’s put it this way. If the blue string is already cut and then you extend the red and green strings, will the weight go down? Of course it will.
"humans don't form hiveminds"
the internet: "hold my gps app"
I saw the thumbnail for this video yesterday and added it to my watch list.
I then started thinking about it in bed a few hours later, and now when I read the comments here it is pretty intriguing that the same analogy that I came up with after having it kept me awake for a while, traffic and a bridge...
Now I want to see a working system representing this in spintronics, a video from Steve I did watch yesterday before bed :)
i can totally see a system of hivemind self driving cars in which the colective configuration is optimised, but some people can pay for a premium version that takes you on the faster, more selfish routes.
@@SimonWoodburyForget True, but i fear no emergency is more important to corporations than their pockets. Thats why neo-lieralism is so flawed, the only hope for a system like this to work would be state regulation, that accounts for emergency, or colective efficiency, for exemple, rather than capital
You could gamify that by introducing a feature where people pay to get the right to stop those cars and 30 seconds to thereafter bitchslap all the occupants. And they get exclusive rights to the video.
I can see premium sending other people on worse routes.
Fr
set a quota of 30 cars per day going down that route, and make the price get more expensive as more cars take it
It seems to me that things get interesting once you get to 10+ hectocars in terms of the times and potential impact on driver decisions even without cutting the blue road. This would be the equivalent of adding more weight to the setup to the point that the strings extend so much that the ropes come under tension, while the blue string is still in place.
I didn't do the exact math to determine this but was having a similar thought, and kinda sad he didn't review it that, if things congested enough, eventually the springs extend to the point that they're pulling the side lanes taught anyway.
Still, a neat little thinker!
At exactly 11 hectocars on grey roads, grey-blue-grey takes the same time as red-blue-green. At 11 hectocars + 1 car on grey roads, red-blue-green is faster. At 11 hectocars - 1 car on grey roads, grey-blue-grey is faster.
So the equilibrium for 11+ hectocars is that exactly 11 hectocars take grey-blue-grey, with the rest taking red-blue-green.
@@bobson_dugnutt I think your point demonstrates that this functions more like lengthening the blue string, rather than adding more weight. Lengthening the string allows you to find, and pass, equilibrium and therefore switch which route is best.
Springwatch
Fancy seeing you here
@@supahstarclod Got a sort of Steve-tribute video happening tomorrow
@@AtomicShrimp hi
@@AtomicShrimp Hahaha Springwatch....
Google Maps actually tries to create this equilibrium...
The "tragedy of the commons" is what comes to mind watching the traffic analogy.
And the Nash equilibrium.
Tragedy of the commons is a glorified oppinion piece with no statistical or historical citations. It's garbage
Literally just build a train
@@introprospector "tragedy of the commons" is more a misnomer than anything else. The guy admitted later it was more of a theoretical commons without communication or management, which of course is how zero commons on local scales ever worked.
That isn't to say there are never cases where actors each acting in their own interest cause degredation of the whole. In fact it's quite common under capitalism, with firms optimizing for their own profits hurting the economy, societal welfare, and the ecosystem.
@@godminnette2 Right, the tragedy of the commons in crises. The manufactured crisis in the car/route example is that we're so overworked that saving 1-6 minutes is the priority.
OMG it looks like magic. I remember my school days when my physics' teacher could be doing this stuff for like the whole lesson.
I really sorry for those who has no such a teacher. You've missed a lot.
What I find interesting is how this is such a good analogy for resistors and inductors. The way the forces sum in series vs parallel is exactly the same as how resistors and inductors sum in series vs parallel. This makes me wonder: is there a mechanics analog to how capacitors sum?
Caps are like springs, resistors are like dampers, and inductors are like masses
This is basic Physics in multiple forms... Conservation of energy or mass 🤷♂️ same thing.
Conservativion of motion... kinetic energy vs stored...
But it all seems reasonable minus the slip up on the colors of the slack strings at the beginning 🤷♂️👍
Yes I'd like to think that the case of capacitance analogous to the static frictional coefficient. There is a buildup of energy until a critical threshold and energy is released
there are two analogs between mechanics and electric circuts. in one mass is analog to inductor and spring is analog to capacitor. in other vice versa.
Capacitance in series sums in the same way parallel inductance, parallel resistance, and series spring constants sum. If only two, (C1 +C2) / (C1* C2 ) The most commonly used mechanical analogy to electrical flow is fluid flow.
This is also an example of a “tragedy of the commons” paradox.
😂 I love how he just gave up on the hope for humanity at the end
We never had it.
If we would think like a hive mind we would all now be on the field farming potatoes. Having a margin of error for individuals is pushing the limits and stress testing reality to find better solutions like this blue line removal.
“Utopia of optimisation”
That’s like word porn, right there
Absolute optimizatiom....That's NOT humanly possible considering our abstract spontaneity, creativity & emotionally expressive range.
Believing that efficiency trumps human endeavor is by definition inhumane factoring our history dotted w/flawed inclinations of that then lend themselves to gratuitous lust for power, over one another mostly alas.
It's ok to have a naive hunger for knowledge though not without accepting firstly the humility and beauty of our limitations and complexity, within complex systems and, complex systems within us to no lesser degree.
@@dvonpache What exactly did that have to do with what the OP said?
He cuts at 0:55
I have another way to explain it. Because you are bringing the points where the springs meet the ropes to the middle and connecting them (rather than letting them dangle individually), the weight is forced downward, and the longer ropes are forced to relax. The key is understanding what the middle rope is forcing the system to do.
"'Ts'never gonna happen, is it?" < smirk > Ha ha! Priceless! What a great video, Steve!
I've seen both versions of this paradox but never put together as an analogy to each other. This was a fantastic presentation!
1:20 "The blue and green ropes are slack..." I think you mixed up blue and red!
Jup, he did. If only he had a hive mind to prevent human error..
That powerful feeling you get when you know the answer (especially with explaination) immediately
This is such a great video. The more I study physics the more I get amazed at how counter intuitive these simple problems can be.
Another youtuber covered this paradox 2 years ago using exactly the same examples: ruclips.net/video/cALezV_Fwi0/видео.html
1:20 "the blue and green ropes are slack" lol
yes, mistakes.. they feed me
It's a bit like the tragedy of the commons I guess.
Yes. Great insight.
And the fix is somewhat like the fix for the tragedy of the commons.
The only price people pay for using the "free" roads is time and fuel and wear-and-tear on their cars. The cost they imposed on the other drivers -- congestion on popular roads during peak times -- doesn't affect them.
They -- or someone else -- pays for the roads via taxes, but that cost has nothing to do with the driving decisions made by the drivers.
If people had to pay for the added convenience of using the blue road, those who were not in a hurry at that particular time would choose the red or green road and pay a little less, and those who were in a hurry would take the gray road and the blue road. The prices charged would split the traffic up as effectively as removing the blue road.
More effectively, actually. There would now be a 9 minute alternative available even during peak hours for those who were willing to pay a premium. That is same travel time available only to a few otherwise, those who travel in the dead of night when the roads are nearly empty.
A different approach is related to something I'd seen on the on-ramps in Minneapolis: traffic flow regulation via traffic lights.
To keep congestion down in Minneapolic, there was (and maybe still is) a traffic light at the beginning of many on-ramps. During rush hours, the traffic light is usually red, but it turns green briefly to let a small number of cars onto the commuter highway.
The analogous solution for the problem of the blue road is, during peak times, use traffic lists to split the traffic in two halves at A and not allow any traffic on the blue road at all.
I just realized I'd seen a (very) different version of that traffic light idea.
Before St. Charles, MO got so built up, the US-40 bridge across the Missouri River between St. Louis County and St. Charles County was only 3 lanes, total. Or 1.5 lanes in each direction.
I'll explain.
During morning rush hour, it was two lanes into St. Louis County, one lane into St. Charles County. During the evening rush, it was two lanes to St. Charles, one lane to St. Louis. Conspicuous special traffic signals indicated whether a lane was available.
For consistency's sake and to not confuse out-of-towners, the rightmost lane had a signal always showing green.
@@ericharris76 that is indeed a common road traffic tool! It's called a "metered ramp" and they turn on after a certain throughout is reached on the main road, usually near the maximum capacity at speed. By slowing down the entry of cars into the now it reduces the shock on the infrastructure by spacing out what otherwise would be "slugs" of cars coming in as the traffic light at the ramp entrance cycles. Fewer drivers already on the road needing to brake for the mass of slower moving cars means fewer opportunities for a traffic backup to start, and faster travel times for everyone.
this the type of video thatll be recommended to all of us 12 years from now for absolutely no reason
You could also just put all those people on a train 🚂
I like trains
it's as if there's a lesson about how building a society around everybody just thinking of their own self interest leads to everything becoming a bit more shitty for everyone involved.
Hello, Tragedy of the Commons.
“But it’s the best system we have”
Yes, and the alternative is having a society without the freedom to make our own choices
Well how can one develop a society that doesn't operate on that logic? I'm more than willing to bet that the actions you take daily are at the very least somewhat based on your own self interest. It's like Steve said, humans are not a hivemind or ants in a colony, and the only realistic way to force that to happen would be at gunpoint.
@@MICHAELBICKAKIVA
How about limited freedoms - limiting people from doing stupid shit that ends up backfiring into everyone’s face.
Freedom is only as useful as it allows us to explore and optimise our existentiality - beyond that freedom actually hurts a lot... like, imagine being free to scam others. Does it make sense for an individual to scam other individuals to gain something with little work ? Yes ! Does it make sense for an entire society to operate like this ? No !
I can't wait to hear about the Summer, Autumn, and Winter paradoxes!
Made sense that I rewatched twice in a bit of few minutes to see the two strings and the parallel string. I don’t want to say it because I already have the answer in my head
So you don't have to _remove_ the blue road. You just need to artificially throttle traffic on it until it's no longer an attractive shortcut.
That way it can still serve local traffic.
A politician would likely say “Let’s put a toll on the blue road, that will throttle it AND make us money”.
One more interesting thing that can be done: recording with a high speed camera to see if the "rope is cut!" information travels down to the weight at all. I suspected the lower spring would start collapsing from its top but stop abruptly due to the green rope. The weight wouldn't have moved till then.
Once the blue cord is cut, there is no force acting on the weight except gravity. It is in free fall until the other cords start to apply force to the weight.
@@AndriasTravels That is incorrect. The weight is still supported by the spring until the spring collapses. You can check videos of a slinky with a ball being let go, uploaded by Veritasium.
Steve, I just want to take a minute and thank you. You videos inspire me, constantly, to investigate the world around me and to continue the pursuit of knowledge. Thanks, and great video!
Current guess after seeing the premise. The more weight waying down an end of a spring the more it must stretch to counteract it. Before the cut there is essentially "one track" supporting the weight and it is made up of the two springs in tandem and the small connecting cord. So each spring must support the full weight of the weight in order to stop it. This means that each spring is stretching long enough to fully support the weight of the weight. This means that from resting each spring expands a amount as though each are individually supporting the full weight of the weight. Once the connector is cut the springs essentially break into "two tracks" where now each spring instead of supporting the full weight of the weight are now able to distribute the weight between them, meaning that each spring over all needs to stretch less in order to support the weight. This reduction in the change in the length of the spring over compensates for the added length of the rope to either track and thus makes the weight lift up higher.
This is somewhat similar to a funny story I heard as a kid, and has the same principles in general.
There once was a trader moving across the desert with their camel. The trader rode on the camel's back with the luggage packed on the camel's saddle. For the first time in months the trader could tell that the camel was starting to get worn out by the trip, so the trader decided to try to help the camel. The trader stopped the camel and started to unpack the saddle, taking everything off of the saddle and moving it into a personal backpack. The trader now encumbered by the weight in the backpack then happily climbed back up onto the saddle and told the camel to continue, believing that the camel now would have an easier time sense all of the luggage was no longer being lifted by the camel.
I was very young when I was told this puzzle of a story and was baffled by it, because I knew something didn't make sense about it but was unable to put it exactly into words, now that I've gotten older the issue is a a bit more obvious. The trader never actually helped the camel by carrying all the luggage, lets put some numbers to this situation to make it easier to talk about. Lets say,
Trader = 80kg
Camel = 500kg
Luggage = 30kg
When everything began and the camel was moving with the Trader the camel was carrying 80kg + 30kg, the weight of the trader and the luggage. Once the trader had put all of the luggage in the backpack now the trader was carrying 30kg, but the camel was now carrying 110kg, as the camel was still supporting both the weight of the trader and the luggage even though the trader was going out of their way to carry the luggage. This means that the trader was going though a lot of trouble and putting more weight on their back when in the end it amounted to nothing for the camel, it was entirely redundant.
This may sound redundant but it actually applies to the springs before the first cord is cut, we can in this situation consider the luggage to be the weight, the trader to be the spring connected to the weight and the camel to be the spring that is only connected to the other spring and the wall. In this situation the trader is carrying the backpack on their back while still riding the camel, this means that both the trader and the camel have to put in the full work to support the luggage, even though both of them do not need to, and the camel even has to support the weight of the trader. this means that over all the system is putting in more effort than it needs to both springs (the camel and the trader) are lifting the full weight of the spring when one of them does not need to lift it.
The better solution for the trader and the camel would have been if the trader dismounted the camel, placed the luggage in the backpack and then carried the pack while walking across the ground instead of getting back on the camel. at this point the trader could have even only taken half of the luggage, say pack 15kg into the backpack and leave the rest on the camel.
This scenario where both entities are carrying half of the luggage's weight is exactly what happens when the middle cord is cut. If we consider the mount that this contraption is dangling from to be the ground then we can see that to begin with all of the weight is going from the luggage, to the trader, to the camel, to the ground. But once the cord is cut the trader gets off the camel and is now sharing the weight of the luggage with it. both are now directly connected to the ground (the mount) so there are two separate paths the weight must take, and the weight is split evenly between them instead of both sides having to take the full amount of the weight. This means that both the trader and the camel have to do less work than in the initial scenario where both of them needed to bare the full weight of the luggage.
Sorry that was a whole parallel going though my head that I just felt like typing out.
Ok this is the best video I've seen. I already knew this road problem (very important to understand how humans can generate social problems by just thinking about themselves) but I never knew there was a spring equivalent. Brilliant ! Thank you for this video
There already is a "hivemind" that can optimize travel time for everyone: it's called public transport
Not in my country. Its about 30% slower on average.
That’s true, not the direct route but over all more energy efficient and less traffic on the road.
No absolutely not. Covering 360km by car in 4 hours and in 7 hours by bus
Optimize is not same as fastest. Nor cheapest lol.
Humanity is selfish, rarely people will want to pay for efficiency unless it benefits themselves directly.
@@JLneonhug optimize does mean fastest and cheapest, in a technical sense
This was really interesting and enlightening! I didn't think that this would end up with a traffic mgmt equivalent!!! Great video!!!
This was an awesome physical model and was explained beautifully
I actually had come to this paradox in Fly Corp. Where when I open direct routes people won't go there with following other routes and start to wait longer and make airports more congested