>phd level intelligence>still cannot solve 10th grade knowledgeJust asked chatGPT 5.4 extended to solve it, it couldnt lol.Are 10th grade math problems the true test of AGI?
>>108345472>taken from a USSR textbookThe answer is you have the bug arrested for crimes against the state, comrade
>>108345472Not using a calculator or shit. In the corner 1 unit away.But really LMMs don't have intelligence, it's stupid to expect them to use something they don't have.
>>108345472It's just a text generator. Ask about more common problems, maybe from American textbooks.
>>108345472if the bug has 150iq then why can't he solve it himself, is he fucking stupid?
>>108345472It's literally B
>>108345639the bug's incentive is to eat it right awaythe problem solver's incentive is to torture to bug
>>108345472It IS B. 8/10 troll
>taskes
>>108345846>>108345757These are the low-IQ posters you encounter who also think the AI bubble isn't real and that Linux is slow, unstable, etc.The farthest point is offset from B towards the center of the upper face.
>>108346076>who also think the AI bubble isn't realHow can you think that when idiots (think that they) benefit immensely from LLMs?
>A bugBugs arent realCheckmate
>>108345472Imagine we unfold the box, pad it out to infinity, and allow for sides to be next to one another even if they shouldnt. Tgen declare some paths illegal (lets say paths that involve crossing the same side twice for example, also if we have two faces next to one another and we choose side a, going to side b would be illegal because it would involve taking a longer path than possible on purpose. Imagine legal paths as straight lines that dont deviate to suboptimal sides intentionally, cant explain it better), and then draw a circle with center at a and radius a-b. What point is outside of the circle, that doesnt involve walking ober an illegal path?
>>108346076>>108346164AI will replace you btw.
>>108346839And you too.
>>108346901I am already a NEET. What's AI going to do?
>>108345472Unfold the box. Draw a circle centered on A passing thru B. There are points further than it.Or so they say. I'd still put it on B and get it over with instead of wasting my brain calculating to get, if I recall correctly, 1/4 out from B on the top face diagonal so the ant walks a couple steps more.
>>108346437>>108346950If points are shown beyond point B when unfolding the box, you can rearrange how the faces are unfolded and change which rectangle/square's corner your using as the reference point B and they'll be closer again.The answer is B. The shortest path to it is 2.83~ units of distance (2*sqrt(2)).If you think the answer isn't B, show your math. If you get a distance higher than 2.83, I guarantee there's a shorter path that there that you didn't figure out.
>>108346979https://math.stackexchange.com/questions/3630204/bug-on-the-box-problem
>>108345472not one LLM has ever solved a math problem btwthey pass "math tests" because the exams are actually political text tests disguised and dressed up as mathematicsthe more you know
>>108346979>>108346979The hint basically immediately tells you the answer is on the top face, and then once you are convinced that repeating faces is suboptimal then that leaves two possible sequences of faces to travel to it that could be optimal.If you draw a net that assumes a particular sequence of faces then the optimal path is just a straight line. So you superimpose the two nets on top of each other, and then you can find the solution with 2d geometry which is >>108346950. The distance would be sqrt(1^2 + 2.75^2) = sqrt(.75^2 + 1.75^2) = 2.85
This is fucking /g/ you retards, if you can't believe it, write a quick pathfinding algorithm to check.See >>103996960 from 2025 when this shit was posted.Maybe >>104006637 helps you understand.If not, there were a shitton of visualizations and anons attempting to explain to other anons in >>103984162 so just browse that if you need to.
>>108347073no matter which path you take to the top surface path to B will be longer, kys retard
>>108345472Well maybe it's because Altman is a faggot. He hasn't admitted that he soon will have to kiss the Chinese's asses.
>>108347146Why, is your screenshot from a chinese model?
>>108347200B is closer the other way.
>>108347214So the answer is in the yellow area, correct?
>>108347298Close, but no, sugar. Same mistake. You can get there faster the other way around.
>>108347298the answer is B and hint is a lie, but as seen here people will fall for this hint poison just like llms
>>108347340You think commies would do that to their math students? Shame
>>108347340its easy to verify its not Bthe tricky part is finding the actual optimal point
i don't get it why is it not b it cannot not be b
>>108347432look at >>108347214it's 2*sqrt(2) you can just go sideways
>>108346950>if I recall correctly, 1/4 out from B on the top face diagonal so the ant walks a couple steps more.you mean a couple steps less, right? the ant would just go up and then over. B would be therefore farther away.
>>108347484oh okay that makes sense
>>108345472>phd level intelligence>still cannot solve 10th grade knowledgeThis is realistic.
>>108347386>its easy to verify its not BGo on, prove the communists aren't full of shit, assuming this was ever on an real exam.
>>108347506it's halfway between intersection of circle drawn through red b and diagonal of top square from >>108347214 and B
>>108347432See >>103986190 or >>103985276 or >>103989527
>>108347298showing some more alternate unfoldings
>>108347585so, it's B then?
>>108347629You'll get substantially better traction if rather than just restate the wrong answer you invent a (obviously wrong) reasoning for it. That usually gets people going better. Good luck anon.
>>108347644no, it seems what i posted was plenty.
>>108347649Meh if you're having fun then I guess.
>>108347656it now has twice as much traction as i could have ever hoped
>>108347666I don't get it.
>>108347585Not trolling. You can use geometry to easily prove that B isn't the furthest point, okay. But how can you actually find the coordinates to the point with nothing but 10th grade math? Isn't this problem the maximization of the distance function and therefore require calculus?
This solution is intuitively self-evident, and since LLMs have no intuitions per se, it only makes sense it would be confused by the fake hint.
>>108347673post one more
>>108347706any point outside the circle radius on top square towards B beats A-B
>>108347684>Not trolling.Nah it's a valid question anon, don't worry.Honestly, with the tools I had in 10th grade, you can't. You could graphically do it like >>103989527 (on paper) and from there get a reasonably close guess, but actually getting the coordinates as proper numbers would have been beyond me as a kid. So it depends on what format you have to answer in. If you need to draw a dot, then fair enough, that's doable.If they expect coordinates in a (A,B,C) vector shape with actual expressions, then I can't think of a way you could do it without finding a maximization function as you pointed out. Maybe some other anon knows of an easier way, I certainly can't.
>>108347740you can't the whole point is 'muh old schooling was so much better' memberry level bait
>>108347730then draw it on the 3d representation
>>108347805just draw any shorter that beats the 2d seeing the circle covers A-B? How arw you going tk get a shorter line than straight?
>>108347740Yeah, that vid was the one I liked. You can graphically show the solution is inside that black arrowhead shape. I remember reading on this problem several years back when I ecountered it in /g/ probably some of those old threads, the answer was said to be "1/4 from B of that diagonal", which, if true, looks like it could be calculated with simple math, but I don't know how.
>>108345472I don't get it, how can it not be B? The ant ALWAYS has to take an extra edge to get to B, how tf can it not be B? Fuck geometry, bizarre satanic field of math
>>108347762>baitI thought the bait was getting retards arguing over B vs other point. If there's bait within bait within bait, baitception? I don't even have a meme for that.
>>108347843see >>108347484you don't have to reach top to start your next path, you just go sideways and that's 2*sqrt2, points over the circle in >>108347706are farther away in straight line
>>108347853it is bait as in current level of testing is dogshit, so even tests from 40 years ago make zoomers go crazy, then add ussr vs us on top, ussr had calculus within those 10 grades
>>108347839If we stick with the graphical solution, once you're at the stage of your pic, you can make a simplification and assume those walls are straight. From there it's simple to find the actual spot graphically again.>answer was said to be "1/4 from B of that diagonal", which, if true, looks like it could be calculated with simple math, but I don't know how.I'm 99% sure that by 1/4th they just mean around there, it's not actually mathematically exactly one fourth. I wrote a simulation back in that thread, sadly I don't have the code anymore, but I think if it was as simple as that I'd have written the coordinates in my response in the post.
>>108347843>Fuck geometry, bizarre satanic field of mathYou get to glimpse beyond the universe's veil into His domain and your ignorance attributes it to Lucifer? How tragic.
It's A, but you have to put the food behind the insect.
It's literally B. Solved by AI, btw.
>>108347889Oh my dumbass thought the ant could only walk on the edges of the box. This is why I always failed at math, I'll just skip entire sections of the question. Fuck them for putting it in small text so that you purposefully glance that part over though
The problem does not say that the food must be on the box, only that the bug needs to walk to it a long distance, though always the shortest path.So as long as the box is placed on a hard surface, the bug will have to walk to the longest surface adjacent to the box. Which could be any very far point on the same continent.
Actual answer : it is what the party has decided is the right answer. t. never hanged for treason
>>108347964Then there'd be a handful of possible paths, which would make the problem trivial anon.
>>108347912>I wrote a simulation back in that thread,Cool! I thought you were just another nobody quoting the badass who actually wrote the simulation on those threads. Congrats on that good work, anon.>but I think if it was as simple as that I'd have written the coordinates in my response in the post.Makes sense.
Very simple: you pretend there is food, but there is no food. You let the insect walk until it dies.
>>108347936Oh fuck, we have an actual genius here.
>>108347972>as long as the box is placed on a hard surfacethe box is floating. It's stated in the problem.
>>108347740>>108347839I just post the vid.
>>108348015Oh right my bad. I read it too quickly and I had the impression it said the bug can both float and walk.
>>108347912it's not, it's halfway between the 2*sqrt2 circle from origin and the diagonal of top square in this pic >>108347706 if it's closer to B it's closer to the circle radius, if it's closer to the intersection the same
>>108347999No. You let it walk until it almost dies, then you feed it once. The second time he'll walk much further.
>>108347981Nothing wrong with trivial problems, it's difficult problems disguised as trivial problems that I hate and which has given me a massive distrust and distaste for mathematics.Especially moreso because I'm an illiterate that doesn't even know what the question being asked is half of the time, so I just make my own solutions to my own made up problems and get mad when it's incorrect because I answered the wrong question
>>108348037Yeah, that's the kind of brainstorming I like. Fuck trigonometry, glory to trisonometry.
>>108347839Would the answer be the center of the circle that goes thry those three red points? If so, it can be calculated with nothing but geometry. Takes some time and some trig, but doable.
>>108347644>reasoningit's called intuition, anon, something many of you ITT clearly have none of
>>108348045>which has given me a massive distrust and distaste for mathematicsI suppose in the end it's your life, but try not to give up on maths whenever you come across a chance to learn. Maybe eventually it clicks, it's a beautiful thing.>it's difficult problems disguised as trivial problems that I hateKek to be fair, those are the ones you'll find on /g/.On the positive note, you'd survive picrel.
>>108348076look at the 2d'd projection >>108347706it is halfway between circle and the B in top right, your 3 dots are almost at circle radius, just try to go further towards red B and you're beat
>>108347948Hmmm, what's that other B point doing over there on the right? I wonder how far away it is?
>m-m-MUH UNFOLD THE BOX
>>108348021How is that further? The bug can walk up the long edge (2) then directly to that area towards B, which is less than 1 because the top surface is a 1*1 square.12+12 = 12. If the bug walks all the way to B it will be further than the area you think is correct.
>>108348076Here ya go. Technically connecting the red dots in straight lines is a simplification but it's close to accurate. No need for whatever you are trying to do with that circle there.
>>108348115you are absolutely correct, we will no longer bomb schoolgirls, it will never happen again
>>108348120Ignore this, I just realized where my math went wrong.
I notice that not a single person has provided the exact position yet. Please describe exactly where within the arrowhead the point should be using coordinates or distances, etc. This should be extremely easy, it's a math question for children.
>>108348120shortest path to B is 2*sqrt2 going sideways, the circle in >>108347706now try to reach in a straight line anyhing further than it towards the top B
>>108348124My red circle was my attempt at fixing your simplification to the actual result. Which I'm not sure would actuallly be there, just intuitivelly saw like it, because it would be slightly closer to B than your simlpified result, which seems right to me. But how slightly closer are we talking abotu or whether mine is another simplification.Because if we're talking simplifications, just putting the damn food at B is good enough simplification to get the bug to work out and not waste any sewcond thinking about it. If we're talking simplification we're talking acceptable trade-offs, and now you have to compare it with the acceptable-ness of the B solution trade-off.
>>108348145'children' being ppl taught calculus from 8th grade 3 years later, the fact zogbots can't do simple math at uni level is irrelevant
>>108348153>My red circle was my attempt at fixing your simplification to the actual result.Ah my bad then.I'm fairly certain that the long red line is actually accurate, as both circles growing at equal distance would mean they'd meet along that line.What is inaccurate is the short red line. You could probably get it (graphically and accurately) by drawing out the whole unwrapped shape and finding the place where the lines from the large circle origin meet with the long line. That'd be the accurate result I think intuitively.
>>108346950 >>108346437>>108346076>>108347073I dont get it how is a point that is closer to A than B taking a couple steps more? The entire top face would be be within the described circle. How does any point other than B not result in a shorter line despite being closer? Isn't it just distance? sqrt(x^2+y^2) with any point that isn't B having either a smaller x or smaller y? Maybe something on the back face would be further but certainly not anything on the top face?
>>108348153and this is exactly the competency crisis, people who can't do triangles deciding to regime change iran, wait what hormuz? I was told we have shitton of rockets, what do you mean mines
>>108348191look at >>108347706 shortest A-Banything not within that circle is farther
>>108348191The circle shows equal or shorter distance than B. Hence everything other than the black area in >>108347839 is as far or shorter than B. But there's area that's further.>Isn't it just distance?Yes, but distance along the surface, not geometrical distance in 3D space.
>>108348209>>108347706How do you calculate that then?
>>108348135
>>108348231halfway between circle radius crossing diagonal of that top square, on both sides you're getting closer to to A
>>108348260and top right B*
>>108348135I think I do
>>108348244>He had to cheat by making lines go through objects>>108348272House 3 gets gas twice but house 2 doesn't get any?Anyways, observe.
>>108348302>House 3 gets gas twice but house 2 doesn't get any?I confused myself with my own lines
>>108348326based autist
>>108348260What? What is "circle radius crossing diagonal of that top square"? Like what does that sequence of words mean in this context?
it's Bconsider if the bug could move through the box, the farthest point would clearly be Bhaving to go over the faces doesn't actually change anything here, any direct route is always just two vectors and their sum is the direct route through the box (Parallelogram Law)
>>108345472another math bait thread, post it on /sci/
>>108348326I don't get the issue.
>>108348419>Where do you put the food to make it walk the longest>direct route through the boxanon, I...
>>108348419>the maze in between these points don't change the distance to get there
>>108348439Missed this door.
>>108348509there is no maze, it's always two vectors, anything more would be an intentional detour
>>108347839>>108347706Ok what doesnt make sense to me, in terms of actually figuring it out from the original question, is that like, we are functionally talking about a physics-breaking simulation that paints two different points that are different distances away, as actually being the same point. One point must be treated as actually being two things, while still also just being one thing, based on very specific conditions THAT I DONT KNOW or it doesn't work. because the furthest point based on the flat plane is the B on the top. It's just that there's a second, separate, different point that's closer, that is considered to be the same point, despite being in a different position at a different distant. And I don't understand how to mathematically account for that.
>>108348519Yes, vectors of different lengths depending on the pathPlease tell me you're trolling and not actually this stupid...
>>108348532It's the same point B. >>108347214How is this other closer point NOT B?
>>108348537their individual lengths don't matter, the sum is always the direct vector to the food, picture that vector parallelogram as a cross section of the box
>>108348517>>108348517
>>108348550i said that it is B. I said that. It is a separate point in a different position at a different distance, that is also the same point. That's what's confusing me. The fact that there are two different Straight line paths of different lengths that lead to the same point, somehow.
>>108348569
>>108348566Incorrect, the ant does not move through the box. The vectors are 2d with respect to the surface of the box. The puzzle does not ask the absolute distance in 3 dimensions, it asks for the distance the ant walks.Incredible levels of retardation, bravo
>>108348584Every point can be reached by infinite straight lines of different lengths.
>>108348343draw a diagonal on the top square (from left bottom corner to top right), where the circle from A to the right B (can we agree it is 2*sqrt2? Do you neer an extra retard drawing?) crosses that diagonal is the same length, any point closer to top right B is farther away, do you disagree about straight lines being shortest?
>>108348605Yes. And the question asks us to magically know the shortest path to every point as a precondition to calculating the furthest possible point. The problem is not finding the absolute furthest point, that's B, the problem is finding the furthest point BASED ON THE METRIC OF SHORTEST POSSIBLE DISTANCES in a 3 dimensional space with obstacles which aren't obvious or something i know how to calculate.
>>108348585
>>108348632>the problem is finding the furthest point BASED ON THE METRIC OF SHORTEST POSSIBLE DISTANCES in a 3 dimensional spaceIncorrect, you must learn to read anon
>>108348632You just need to find one point closer than B. The way you phrase it, it sounds impossible, but the truth is 10th grade kids could fucking solve it. You don't need to know every inifnite path to every infinite point, and intuition makes you prune all of the useless down to at least these >>108347839
>>108348643Based, congrats. I'll stop now.
just hop over the wall
>>108348719I think we've both gone on long enough that the answer to the original question has been sufficiently answered kek.Have a nice day/evening anon.
>>108348711Wrong, you need to find the point that provides exactly the farthest distance. Finding a point longer than the one to B isn't good enough.
>>108348763fucked up the export area, my bad
>>108348763At the fuckign 1/4 point??? Can you draw the circles on C instead of B? Do they all intersect at the single point instead of defining an area like B?>>108348776Good sized export, can zoom in nicely.
who makes these math bait images? Where's the Monty Hall one, or the one with the gold balls or whatever.
>>108348763Very close!I think you still need to prove that within that section you are farthest from any wall within the shape. I think one circle inscribed within the base of the arrowhead would do it.
>>108348806If the four circles I ask at >>108348799 define a single point instead of defining an area, it proves you can't find a point further than C (with nothing beyond 10th grade math). But how does one get to that point with anything but intuition is beyond me.
>>108348711>"make the bug walk the longest distance"no, it's not just any point further than B. It is the FURTHEST POSSIBLE point. I'm sure 10th grade kids could solve it by plugging in some formula that just generates the answer. I dont know that formula. also people keep referencing that post with a square and something pointing to the corner. I don't understand how that is supposed to help me in any way or communicate any information to me.
>>108348135This shit is too hard.
>>108348839Okay, my mistake there. Sorry.>some formulaThat would be distance from A to arbitrary point P thru one path is equal to the other path, for all points P in top sqaure and both paths (decided intuitively, easily proven). Once you have the formula of that distance, you can plug into caluclus maximize the function formula. You can rearrange it to spit out (x,y) if you want to.That is the formula. It's specific to the problem, so it's not a simple formula 10th graders should know. And deriving that formula requires calculus, which is why I'm trying to understand how to get there with just geometry + trig.
>>108348867WHY, FOR ALL THAT IS HOLY IN THIS WORLD, WOULD YOU USE GREEN TO INDICATE THE FUCKING WATER PIPES?
>>108348869Also, another anon claimed ussr kids had calculus in 10th grade, so there's that too, but idk.
>>108348837You just fill the arrowhead shape with the largest circle possible and take the center, right? You just need to find the point farthest from the area filled by the circles centered at A touching B. Then you could use your C trick to verify.
Guys, geometry is intuitive first, mathematical second. This insistence on proving geometry mathematically is a crutch for healthy legs. It's B.
It's not calculus it's just old geometry. Schools used to teach kids to reconstruct Euclid's Elements with only a compass and ruler. Nowadays it's considered a useless skill so it's not taught unless you do math history or something.
>>108348891>You just fill the arrowhead shape with the largest circle possible and take the center, right?Yeah, that works! Draw a circle tangent to other circles? Hard to do on paper due to sheer size of arrowhead compared to unfolded box, but maybe doable with trig instead. I think this is the right path. I still wonder if that circle has the same center as this circle >>108348076
>>108348905>It's B because... it just is okay! You can't ask me to prove it, that's not fair!0/10, see me after class.
>>108348876It's fairly obvious no?Ever seen a pond in the wild?
>>108348927Believe it or not, you can't prove 2+2=4. Intuition needs to come into play at some point.
>>108348935 (You)
>>108347706What country are you from? American schools would not accept this kind of logic, you’d need to describe it purely numerically. Math teachers hate nothing more than when you find an intuitive non-numeric solution to a problem.
>>108348948You can by proving that two follows one.Every system has axioms, but if you pick an axiom that states whatever problem your facing is true by definition that doesn't make you clever, it makes you mentally deficient.
>>108348799>>108348837I did this in CAD (on work pc, so no picrel). It is the same circle, which proves it good enough for me. I'm still bugged on how to find this 1/4 point with anything other than intuition. I'll try the largest circle and the circle from the arrowhead poins I talked about earlier.
>>108348966>Math teachers hate nothing more than when you find an intuitive non-numeric solution to a problem.When they're trying to teach arithmetic, sure.>>108348967>You can
>>108348991Of course you can, if you define one and the successor operation, and you define 2 as the first successor to one, and 4 as the third successor.Why do you think otherwise?
>>108348763>>108348799close enough I guess
>>108348979CAD'd this >>108348076 was close but wrong. It's slightly closer to B than the actual solution.>>108348891Largest circle within arrowhead works. Can't do the tangent of 3 circles with pen/paper on this one due to size, as explained already. Maybe doable with trig.I thimk the solution path with nothing but 10th grade would be:>intuit B>prove B is wrong to get to the arrowhead of points further than it>intuit 1/4 point>prove it is the correct solution by trying to arrowhead and showing no points are further than itSomething like iterative approach?
>>108347706So you are telling me that when you fold the box, and the red B literally touches the black B that they are not equally far apart?
>>108349046Thanks! I remembered I had CAD on work computer (not opening 4chan on that, too lazy to transfer screencap to this pc). >>108348979CAD treats it as the same point (so any difference is smaller than it's floating point rounding), so it treats it as the same point. >close enoughBut this got me worried, you say close enough because you know it's not actually the same, just close, or because you can't actually make sure it is the same?
>>108349046>>108349083Also, largest circle within arrowhead does find C.
>the bug has 150IQPut the food on its ego.
>>108349064it's about the path it takesit's the same point, but going through the top face is farther than from the side face
>>108349083I used inkscape, decent enough, it also snaps to borders depending on thickness which is pain, I'm sure you can turn it off but I'm too noob to use it. I had some CAD classes at uni years ago, was fun.
>>108349046Message received
I've got it. Since the arrowhead sides aren't straight, you'd create a triangle from the intersection point of the two arcs on smaller side to the edge, and use the hypotenuse to create perpendicular lines. Find where they intersect. Do the same with the long edges. Find out the midpoint of the two intersection points and that's the center of the largest circle and thus your point. 99% sure.
>>108349180kek
>>108349172Inkscape is cool, but I never used it much. My question is, "close enough" means "not really correct solution" or "can't tell if correct solution"? I was happy it was solved at C until I read that "close enough". It's haunting me, bro. I believe maybe trig can prove if "arrowhead" for C would be just point C, which would solve it, imho. But I'm still working out the why that would prove it. I'm thinking along these lines >>108348869 but before calculus and maximization
>>108349200I meant some pixel imperfections due to incorrect snapping, you can see the two small areas close to the letter B aren't mirror perfect along the diagonal. I believe the solution to be correct though.
>>108349200Okay, I'm convinced if distant via path1 is equal to distance on path2, then the arrowhead is a single point, and C is furthest. I was worried because the arrowhead has other points that have equal distance, but I was being retard, those are the symmetry when you invert it (the two points on the diagonal). If that other point of the arrowhead has the same distance, and therefore also lies on the diagonal, then there's no point further than C.x1 = 3/4y1 = 2 + 3/4x2 = 1 + 3/4y2 = 2 + 1/4d1 = sqrt( (3/4)^2 + (2 + 3/4)^2)d2 = sqrt( (1 + 3/4)^2 + (2 + 1/4)^2) d1 = sqrt(130) /4d2 = sqrt(130) /4QE fucking D
>>108349187Whoops, you need to use the tangent line to the original circles from A, but the rest is right.
>>108349252Bravo, well done.
>>108349130>>108349064>>108347706>path it takesyou're not choosing the path, you're choosing the point. in your diagram, they are the same point. retard
Sounds about right for phd level intelligence. I'm finishing up my dissertation and I'd probably fuck this problem up. If you want the AI to be accurate it should also mention that the problem isn't in its field of expertise and that it would need to consult the literature.As an aside, it has been interesting seeing more people using AI for math research. Terry Tao has been using it with formal verification stuff like Lean, and a lot of people use it to locate sources/find relevant research, and also to grind through annoying combinatorial problems you can't be assed to do. It does start spewing bullshit if you try to ask it stuff at the edges of research, though, no doubt since there's less training data. Just today one of the professors in my department was talking about how he tried putting a question into Gemini and after some back and forth it eventually said "the result must be true because if it wasn't they'd have mentioned it in this reference"
>>108345472The 150 IQ bug would eat through cardboard and jump to any point directly in zero gravity conditions.The answer is B.
>>108349367Thank you. I jsut realized that that argument can be used not only to prove the answer is C but to actually find it without knowing it. Intuition gets you that the answer is on the daigonal, so "x = y", which gives us:x1 = xy1 = 2 + xx2 = 1 + xy2 = 3 - xd1 = sqrt( x^2 + (2+x)^2 )d2 = sqrt( (1 + x)^2 + (3 - x)^2 )d1 = sqrt( x^2 + 4 + 4x + x^2 )d1 = sqrt( 2x^2 + 4x + 4 )d2 = sqrt( 1 + 2x + x^2 + 9 - 6x + x^2 )d2 = sqrt( 2x^2 - 4x + 10 )d1 = d2sqrt( 2x^2 + 4x + 4 ) = sqrt( 2x^2 - 4x + 10 )2x^2 + 4x + 4 = 2x^2 - 4x + 104x + 4 = -4x + 108x = 6x = 6/8 = 3/4With this 10th grade math you can actually find the value. The trick, imho, is realizing you need to find the value where that red point in picrel reaches the diagonal, and hence there are no points further than it.
>>108349630If the 150 IQ bug could eat thru the cardboard, the cardboard is food, it doesn't need to walk anywhere.
>>108349890>when the so smart bug reaches the food
>>108349979Based autist.
>>108349979Feels ... weirdly right.Maybe the autism was inside us all along.
>>108345472>USSR >Hint: It's not BHint, it's 1980's era Russian teachings that you shouldn't believe authority *without question*
>>108348876Autism?
>>108349046How is walking across three different sides more efficient than two? Is that ant really 150 IQ?
>>108350051You shouldn't go thru that vertex on your "two sides" solution.
>>108350071You shouldn't move goalposts
>>108350078Not moving goalposts. There is a path via two sides that's faster than going via the vetex, somewhere closer to picrel. I'm helping your argument here!
>>108350051Think B going thru the top face vs the side face. Surely you can see the blue path here is shorter than the green one. You can easily calculate by how much. Now pick a point on green path that's really close to B: it's shorter to go thru blue and back track on green than going directly via green (and going thru B is not the shortest path than some point on the edge).
>>108349979Jesus fucking Christ
>>108350051Because of its 150 IQ it knows that due to symmetry there are 4 different equally longs paths to choose from, 2 of them go through 3 sides and the other 2 through 2 sides.
Let the ant start at A = (0,0,0) on a 1 x 1 x 2 box, and look only at points on the diagonal of the top face:P(t) = (t,t,2), 0 <= t <= 1.The shortest path is not the straight 3D distance. You have to unfold the faces and compare planar straight lines.There are two relevant unfoldings:1) Go across one side face and then the top face.This givesd1(t) = sqrt(t^2 + (2 + t)^2).2) Go across two side faces and then the top face.This givesd2(t) = sqrt((1 + t)^2 + (3 - t)^2).So the actual shortest walking distance isd(t) = min(d1(t), d2(t)).To find the point on the diagonal that is farthest away by walking distance, maximize d(t). That happens where the two candidates are equal, because before that one branch is smaller, and after that the other branch is smaller.So solvet^2 + (2 + t)^2 = (1 + t)^2 + (3 - t)^2.Expand:t^2 + t^2 + 4t + 4 = 1 + 2t + t^2 + 9 - 6t + t^22t^2 + 4t + 4 = 2t^2 - 4t + 108t = 6t = 3/4.Therefore the farthest point on that diagonal isP = (3/4, 3/4, 2).Its walking distance isd_max = sqrt((3/4)^2 + (11/4)^2) = sqrt(130/16) = sqrt(65/8) ≈ 2.85.So no, the opposite corner (1,1,2) is not the farthest point along that diagonal. The farthest point is (3/4, 3/4, 2).
>>108350051did you even do the math?green goes sqrt(5) + sqrt(0.75^2 + 0.25^2) = 3.03blue goes sqrt(1.75^2 + 2.25^2) = 2.85blue is shorter
>>108350374>maximize d(t). That happens where the two candidates are equal,Why would this be true? Why does both paths being the same means it's the furthest path? How can your LLM explain that there isn't another path longer than when it's equal?
Imagine this were a sphere. Anyone would guess that putting food at the diametrically opposite side would make for the longest path. This is the exact same here.
>>108350506>This is the exact same herewould be for a cube, not cuboid
>>108350528Forget the sphere. A cylinder is more adequate for this problem.
>>108350546>cylinderWould you go around it or over the flat face?
sorry i dont have a way to draw this very well but the answer is B. you cant just unroll it in one direction because that doesn't preserve the edge transitions. you have to do something like this. the same color lines lead to the same point or its mirrored counterpart.
>>108347308That only works on a 2 dimensional plane. If you bring it back to 3 dimensions then that side can exist on the left or right side.
>>108350374Expanding on this. If we have an undefined height of z instead of 2. 3/4 is replaced by (z+1)/(2z). The point ends up being in the center of the top side if height is infinite. Also this formula works for any z bigger than (3+sqrt(17))/4. If its lower than that, the answer is the opposite corner. Also for general dimensions a b c instead of 1 1 z, the formula is (b+c)/(a-b+2c)>>108350481Says right there retard
>>108350660>unspecified d, hAre we talking short coin or long pipe? d = 2h for similarity? Or abitrary like >>108350667
>>108350680d and h can be anything, object on the right can be any cuboid. This is purely to facilitate your intuition which the commies are trying to steal from you.
>>108350660Going via top face: h + dGoing around: sqrt( h^2 + (pi*d)^2 )h + d = sqrt( h^2 + pi^2 d^2 )h = (pi^2 * d - d) /2So if h is larger than that, going around is better, if h is smaller, then going thru the top. Makes sense? Am I on the right track?
>>108350660Here's a nifty simulation. Obviously the bigger h/r is, the point is closer to the center of the top face
>>108350838>center of the top faceLooks on the edge/B.
>>108350871Yeah it needs to look like my dick for it to reach the center
>>108347706i can see how this answer was picked but given how sparse the original prompt was you could get a different answer by assuming a different pattern of unfolding the boxthis is a dumb question
I always wonder what kind of masochist works on these kind of convex geometry type problems. People have apparently worked out algorithms for finding the shortest path between two points on arbitrary convex polyhedra, and it's exactly as nasty as you'd think: https://arxiv.org/pdf/2512.11299
>>108347131You are dumber than a brick
>>108350897>what kind of masochistWe're called cranks, for some reason. Or does that only apply to cranks pursuing proven unsolveable problems?
>>108350888you need to unfold it multiple times and draw your circle to really understand where all the furthers points are
>>108350838>>108350871>>108350881
>>108349979>aeimsstttuperkele
>>108350922Yeah, cranks usually means someone doing bs math, like trying to square the circle with ruler and compass, or all the amateurs giving incorrect proofs of simple to state open problems like the Jacobian conjecture or Collatz conjecture. This appears to be serious math, but I don't know why someone would subject themselves to it
>>108350944Disregard this actuallyHere's a nice graph showing how the point moves toward the center as h/r increases
>>108350973Because someone is WRONG on the internet, and I got to prove it to them. And this is math, not /pol/ or other bullshit, so when I finally prove it, I'll be famous and kids will have to study my name's proof on their high school and curse the teachers mentioning my name forevermore.
>>108350944This is gay but cool.>>108350987This is also cool, but that one ends in repeating digits, so.
>>108350990I meant the paper I cited being serious math, not this thread.
>>108351007Same thing, except someone is WRONG on my math textbook, or stupid by claiming no one has proven something I know I can prove! Fucking retards, I can prove and get my name on that!!Seriously, I think it's the same shit that drives cranks: they can't help it.
I put the food inside the box so the little bastard really gets some exercise digging in there, instead of just a casual stroll across the surface, since making him get the most exercise is the stated goal of the question.
Why math? Just get a 2x1 ratio box and some string, tape or nail the string to that corner, and just move it around to find the longest possible distance. If you find a likely spot, pull it tightly and put a mark on the string, then keep messing around to see if you can go further another way. Maybe mark that spot on the box too and see if there's another shorter way to reach that point with the string. It will automatically bend to take the shortest path across bends as long as you pull it tightly. Math is for women.
>>108348100The projection is wrong you stupid fuck.
>>108345542AGI in 18 months saar possibly even sooner. My friend has seen 5.5 preview says it's completely over for 95% of jobs within 12 months
>>108351273>Math is for womenIf that were true why is it that every math department is a sausage fest?(And half of the women in math end up being lesbian. It really is not a field you want to get into for romance options.)
>>108351365It's not a field you want to get into at all, it's a fucking waste of time 90% of the people doing it.
>>108351369You don't go into math because it's a rational career decision. It's a mind virus that infects a certain class of people who would otherwise go Kaczynski mode without being distracted by their equations and diagrams. And honestly nowadays, I'd rather have a really smart person working on something silly like homotopy type theory than becoming some kind of data analyst for Meta working on more algorithms to ruin society for the sake of shareholder value
>>108351036It's not necessarily even about becoming famous. See Perelman. It's just about being able to solve a problem that's not yet been solved because you can.
>>108347003>>108345472If this is a tenth grade problem why are mathematicians and math phd giving wrong/handwaving answers?
As the building gets taller, proportionally, the difference between the height and any diagonal to any point on the rim decreases faster than the proportional difference from any point on the edge to the center. So as the height increases the optimal point follows some function moving from B (0<=h<=1) to the center ( 2.41~sqrt(2)+1<h )
>>108349046And why would that be the farthest point? Look at all those points outside of the circle. They're "even further" away if you accept this logic, but they aren't really. It's just a consequence of how you unwrap the cuboid.
>>108353134No it doesn't. It's still going to be at B. Any movement in any direction from B will make the opposite path shorter.
>>108353259You misunderstood the logic, I drew all 4 circles (illustrating all possible unwrap relevant to this case), not 1, and they happen to be tangent in C, therefore C is farthest point. You can see all the paths in >>108350212 Increasing the radius would create an inner area enclosed by 4 overlapping arcs, which proves you cannot go further than C.
>>108353443Go try it on a real box with a piece of string.
>>108353450IRL method is prone to error because the solution differs from B by less than 1%, you'd need a cuboid that is 2 meters tall to see it clearly, provided you'd be able to perfectly wrap the string along the wall.
If you can't solve simple geometry problems intuitively then you're ngmi. Stop trying to prove or disprove the mendacious not-B hint mathematically, you're only displaying your lack of intuition. This is why LLMs are bound to fail such tasks, because their facsimile of intelligence lacks any sort of sensible intuition, and their actual "knowledge" is a frozen database that's always in the past and never in the present. LLMs only ever speak to themselves as they are essentially text completion tools, so communicating with one makes you an LLM with the only difference being that your input is the one that's completed first.
>>108346916Replace you as NEET.
>>108349046>look, if I ignore the original position of the top face (yellow) and shift it over by 1, the new top face that doesn't actually exist is now farther away! QEDsoftware "engineer" education
>>108353587>look I have no spacial intelligence and I cannot infer that one face represents all 4 possible unwraps, I need to be shown all of them at once like >>108350212
>>108345488>the Soviet state arresting someone in 1987lmao
>>108353332black-ant-box.tiiny.siteAI slopped visualization for the tarded. you are welcome
