Reminded me: https://en.m.wikipedia.org/wiki/Water_integrator The Water Integrator (Russian: Гидравлический интегратор Gidravlicheskiy integrator) was an early analog computer built in the Soviet Union in 1936 by Vladimir Sergeevich Lukyanov. It functioned by careful manipulation of water through a room full of interconnected pipes and pumps. The water level in various chambers (with precision to fractions of a milli…
When I first started learning EE I conceptualized it with water. Ie voltage / potential is a higher water level vs else where. But this takes it to a whole new level, impressive!
Can water solve a maze? [video]
111–120 of 133 posts
Re: Can water solve a maze? [video]
#112Earlier quoted context omitted.
Except that this maze clearly has at least two solutions. Straight through the corridor, or via the loop. And that's assuming you don't wander around the loops n times.
Three solutions if you want to be nitpicky. You can go around the clockwise, and counter-clockwise :)
Re: Can water solve a maze? [video]
#113The thing that I found most interesting was actually the little side discussion about all mazes being two pieces. Something that I had never considered, but seems fairly self evident (assuming only one path exists through the maze). Also makes me wonder what a proof would look like.
> Also makes me wonder what a proof would look like. Start with the simplest possible maze (i.e. one square with a start and a finish) which will be in two pieces. Then show that all possible additions will not add further pieces except for when you "cut" into an existing piece to make a separate non-solution route (i.e. a looped route that takes you back to the same point). (Having any loops in the maze would break…
Re: Can water solve a maze? [video]
#114He's wrong about why that maze towards the end of the video doesn't empty out the supply tank. It's not surface tension, but rather it is the fact that the path goes up and down. The down parts of the path will be filled with air, and the up parts will be filled with water. Water is more dense than air, so the supply must have more pressure than the sum of all the heights of the up parts in order for water to flow. T…
Re: Can water solve a maze? [video]
#115Earlier quoted context omitted.
Mostly, but surface tension in aggregate is meaningful. Surface tension is doing two things, first it’s contributing to back pressure several times in the same way it’s just barely keeping water from over topping. Secondly it’s taking up volume in air pockets thus increasing the pressure of those pockets. So, if he added soap to reduce surface tension the tank wouldn’t empty but it would end up lower. My guess is rou…
What's great about this video and the discussion is that something as familiar as water can have new and non intuitive things to learn about it. Are there any other examples of common things that have non obvious behaviour from every day experience?
Some substances are "non-Newtonian fluids" meaning that they are liquid normally but turn solid under pressure. Famously, a mixture of cornstarch and water does this, which kids can have endless fun with: https://www.youtube.com/watch?v=Fnd-2jetT1w An example application is bulletproof vests which allow their wearers to move normally but will stop a bullet.
Re: Can water solve a maze? [video]
#116The thing that I found most interesting was actually the little side discussion about all mazes being two pieces. Something that I had never considered, but seems fairly self evident (assuming only one path exists through the maze). Also makes me wonder what a proof would look like.
Re: Can water solve a maze? [video]
#117Earlier quoted context omitted.
You can make a maze with only one path (other than paths that double back on themselves), but has three pieces: https://i.imgur.io/R4j6TH3_d.png I think this is basically a flaw in the intuitive definition (or maybe only my intuitive definition) of "doubling back".
Except that this maze clearly has at least two solutions. Straight through the corridor, or via the loop. And that's assuming you don't wander around the loops n times.
Re: Can water solve a maze? [video]
#118Earlier quoted context omitted.
> all mazes being two pieces This is true for mazes with only one path from start to end. Each additional path necessitates a separate piece (path permutations nonwithstanding)
> mazes with only one path from start to end One of my favourite bits of trivia: it is this property (being "unicursal") which leads to a maze being more specifically characterized as a labyrinth.
Wikipedia[1] also notes this contradiction:
> Although early Cretan coins occasionally exhibit branching (multicursal) patterns, the single-path (unicursal) seven-course "Classical" design without branching or dead ends became associated with the Labyrinth on coins as early as 430 BC, and similar non-branching patterns became widely used as visual representations of the Labyrinth – even though both logic and literary descriptions make it clear that the Minotaur was trapped in a complex branching maze.
Re: Can water solve a maze? [video]
#119The thing that I found most interesting was actually the little side discussion about all mazes being two pieces. Something that I had never considered, but seems fairly self evident (assuming only one path exists through the maze). Also makes me wonder what a proof would look like.
I think you need to be very careful in how you define a maze, lest you run the risk of rediscovering the difficulties involved with the Jordan Curve Theorem.
Re: Can water solve a maze? [video]
#120Earlier quoted context omitted.
Mostly, but surface tension in aggregate is meaningful. Surface tension is doing two things, first it’s contributing to back pressure several times in the same way it’s just barely keeping water from over topping. Secondly it’s taking up volume in air pockets thus increasing the pressure of those pockets. So, if he added soap to reduce surface tension the tank wouldn’t empty but it would end up lower. My guess is rou…
What's great about this video and the discussion is that something as familiar as water can have new and non intuitive things to learn about it. Are there any other examples of common things that have non obvious behaviour from every day experience?
Slightly related: https://www.youtube.com/watch?v=BSSecjKRxEE (slow moving waves in moving rope)
Bruce Yeany have many good videos covering various physics phenomena.