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| | I've always had an issue with this problem for one simple reason. In an infinite set of resistors, there is no space to apply a charge, thus there is no resistance. Ohm's law states Resistance = Voltage / I(current). So, in a system where there is no current (creating a divide by zero error), and there is no voltage (no change in electron work capacity, because we don't have a way to excite the electrons, because there is no power) Resistance is incalculable. [[User:Lcarsos|lcarsos]] ([[User talk:Lcarsos|talk]]) 22:22, 20 September 2012 (UTC) | | I've always had an issue with this problem for one simple reason. In an infinite set of resistors, there is no space to apply a charge, thus there is no resistance. Ohm's law states Resistance = Voltage / I(current). So, in a system where there is no current (creating a divide by zero error), and there is no voltage (no change in electron work capacity, because we don't have a way to excite the electrons, because there is no power) Resistance is incalculable. [[User:Lcarsos|lcarsos]] ([[User talk:Lcarsos|talk]]) 22:22, 20 September 2012 (UTC) |
| − | :We live in 3 dimensions, just place a battery above the grid with wires going to the 2 points. --[[Special:Contributions/84.197.34.154|84.197.34.154]] 22:59, 24 October 2012 (UTC)
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| − | ::Not everybody does... --[[Special:Contributions/85.159.196.14|FlatlandDweller]] 11:08, 15 November 2012 (UTC)
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| − | ::: baDumpBump! [[Special:Contributions/172.68.142.89|172.68.142.89]] 16:22, 28 June 2018 (UTC)
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| − | ::I believe the OP is referencing the issue that an infinite circuit could not hold a current. Connecting a battery would only work for a finite grid. In addition, the orientation of the battery in physical space has no relation to its behavior in a circuit, only the points of connection matter. Think about what the battery is doing to generate a current. How does electric potential apply over an infinite grid? Even moving it through a magnetic field won't work as the flux will be uniform across each cross section. You can't rotate an infinite grid either...{{unsigned|Flewk}}
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| − | : This is an idealized version of the general problem of determining the resistance between two points in a volume of some material. Like, say, two electrode tips in a liquid electrolyte? Getting a mathematically exact solution in this situation requires integrating over an infinity of paths, even when the liquid volume is finite. Add in the fact that there are no perfect insulators, and you'll have to consider arbitrarily long paths, too. [[Special:Contributions/162.158.203.15|162.158.203.15]] 03:46, 19 April 2021 (UTC)
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| − | :Just crocodidoodle the battery to the pencil lines as and where required for an infinity of varieteediddly.[[User:Weatherlawyer| I used Google News BEFORE it was clickbait]] ([[User talk:Weatherlawyer|talk]]) 18:51, 20 January 2015 (UTC)
| + | We live in 3 dimensions, just place a battery above the grid with wires going to the 2 points. --[[Special:Contributions/84.197.34.154|84.197.34.154]] 22:59, 24 October 2012 (UTC) |
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| | + | :Not everybody does... --[[Special:Contributions/85.159.196.14|FlatlandDweller]] 11:08, 15 November 2012 (UTC) |
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| | This problem is "unsolvable" only if you try to just use the basic methods for finite networks. | | This problem is "unsolvable" only if you try to just use the basic methods for finite networks. |
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| | [[User:Divad27182|Divad27182]] ([[User talk:Divad27182|talk]]) 05:05, 5 October 2012 (UTC) | | [[User:Divad27182|Divad27182]] ([[User talk:Divad27182|talk]]) 05:05, 5 October 2012 (UTC) |
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| − | :Solution here as well: http://mathworld.wolfram.com/news/2004-10-13/google/ [[User:Potie15|Potie15]] ([[User talk:Potie15|talk]]) 03:50, 18 March 2013 (UTC)
| + | Solution here as well: http://mathworld.wolfram.com/news/2004-10-13/google/ [[User:Potie15|Potie15]] ([[User talk:Potie15|talk]]) 03:50, 18 March 2013 (UTC) |
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| − | Nowhere it is said that the problem is unsolvable, just that it is interesting. Of course, the sniping is more effective if the problem is also difficult to solve, because otherwise the victim would get over it quickly. [[User:Dargor17|Dargor17]] ([[User talk:Dargor17|talk]]) 17:47, 16 June 2013 (UTC) | + | Nowhere it is said that the problem is unsolvable, just that it is interesting. Of course, the sniping is more effective is the problem is also difficult to solve, because otherwise the victim would get over it quickly. [[User:Dargor17|Dargor17]] ([[User talk:Dargor17|talk]]) 17:47, 16 June 2013 (UTC) |
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| | That method for parallel resistors is wrong. You don't divide resistances by the number of paths, you sum the reciprocals and then take the reciprocal of that. The method described only works if every resistor has the same value. While that's true in this problem, it's misleading to pass that off as a method that works for all cases. --[[Special:Contributions/173.245.55.60|173.245.55.60]] 03:32, 1 April 2014 (UTC) | | That method for parallel resistors is wrong. You don't divide resistances by the number of paths, you sum the reciprocals and then take the reciprocal of that. The method described only works if every resistor has the same value. While that's true in this problem, it's misleading to pass that off as a method that works for all cases. --[[Special:Contributions/173.245.55.60|173.245.55.60]] 03:32, 1 April 2014 (UTC) |
| − | :Good point. I made some slight alterations to clarify that we are assuming the resistors are equal. It seems a better solution than getting into the more complex version of the problem. --[[User:BlueMoonlet|BlueMoonlet]] ([[User talk:BlueMoonlet|talk]]) 12:20, 1 April 2014 (UTC)
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| − | The real question is: why did the physicist cross the road? --[[User:Alcatraz ii|Alcatraz ii]] ([[User talk:Alcatraz ii|talk]]) 00:53, 29 September 2014 (UTC)
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| − | :to get to the other sine. Or if you want a punchline specific to physics (sine is a math concept technically)... Brownian motion--[[User:Twisted Code|Twisted Code]] ([[User talk:Twisted Code|talk]]) 20:25, 30 March 2023 (UTC)
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| − | Amazing. From the first comment the discussion is diverted from discussing the comic, to discussing the problem presented in the comic. The commentators have been nerd sniped by a demonstration of nerd sniping. Randall is just that good. [[Special:Contributions/108.162.216.86|108.162.216.86]] 17:55, 30 April 2014 (UTC)
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| − | "Sniping" might also be a pun or have a deliberately dual meaning in this context, referring to both a <I>sniper</I> and a [http://en.wikipedia.org/wiki/Snipe_hunt <i>snipe hunt</I>] (do kids still practice the latter?). The former makes sense if Black Hat's purpose is to actually rid the world of physics and math nerds (consistent with his characteristic misanthropy and cynicism), but the latter also fits the theme of merely distracting a nerd with an impossible task, which the title text suggests may have been Randall's motivation for the strip. (On a side note, the Wikipedia article reveals that the terms <I>sniper</I> and <I>snipe hunt</I> have a common origin, which makes twice in the last month it's resolved a long-standing etymological puzzle for me. The other case united the multiple, seemingly unrelated meanings of <I>minute</I> <nowiki>["tiny" vs. time]</nowiki> and <I>second</I> <nowiki>[ordinal vs. time]</nowiki>; see [http://en.wikipedia.org/wiki/Sexagesimal#Notation sexagesimal].) [[Special:Contributions/173.245.54.182|173.245.54.182]] 01:40, 18 June 2014 (UTC)
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| − | :I've been led to believe that 'minute' means 'tiny amount of time', 'second' is 'secondary tiny amount of time', and , I quote "Real snipe (a family of shorebirds) are difficult to catch for experienced hunters, so much so that the word "sniper" is derived from it to refer to anyone skilled enough to shoot one." from the snipe hunt wiki page. [[Special:Contributions/141.101.104.4|141.101.104.4]] 23:45, 27 September 2014 (UTC)
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| − | Why doesn't someone solder together a thousand one ohm resistors into a grid then use an ohmmeter to measure the resistance? Then repeat with smaller and smaller grids to see if there's any effect on the measurement. If the resistance does not change, or at least doesn't change until the grid size gets quite small, then the "infinite" term in the problem is a 'red herring' to mislead. Pointless, useless, irrelevant etc information in problems is a common tactic for gauging the ability to recognize and reject such data. [[Special:Contributions/199.27.133.122|199.27.133.122]] 00:35, 18 November 2014 (UTC)
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| − | Incidentally, should this page mention that what if 113 (I don't know how to do links, sorry) contains a picture of this comic? [[Special:Contributions/108.162.216.65|108.162.216.65]] 23:36, 24 February 2015 (UTC)
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| − | :Yes I will do so. Have just referred to another what if where he is mentioning nerd sniping. --[[User:Kynde|Kynde]] ([[User talk:Kynde|talk]]) 11:40, 16 February 2016 (UTC)
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| − | [[Special:Contributions/141.101.98.34|141.101.98.34]] 12:17, 22 May 2015 (UTC) Am I the only one concerned with the fact that this poor guy was still on a crosswalk? The truck should have stopped. [[Special:Contributions/141.101.98.34|141.101.98.34]] 12:17, 22 May 2015 (UTC)
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| − | :No you are not, and good point --[[User:Kynde|Kynde]] ([[User talk:Kynde|talk]]) 11:40, 16 February 2016 (UTC)
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| − | When the number of parallel resistors increase, the equivalent resistance decreases. So, in an infinite grid, wouldn't it approach zero? [[User:UrubuSelvagem|UrubuSelvagem]] ([[User talk:UrubuSelvagem|talk]]) 03:43, 28 September 2015 (UTC)
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| − | :They are also in series. For each parallel group, there is, in fact a corresponding group in series. {{unsigned|Flewk}}
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| − | It is not directly relevant to the discussion of the comic, but this needs to be posted here. Perhaps the best nerd snipe ever actually achieved and a nearly perfect match for the comic (my professor put it in the lecture notes for my group theory class):
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| − | "Coxeter came to Cambridge and he gave a lecture, then he had this problem ... I left the lecture room thinking. As I was walking through Cambridge, suddenly the idea hit me, but it hit me while I was in the middle of the road. When the idea hit me I stopped and a large truck ran into me ... So I pretended that Coxeter had calculated the difficulty of this problem so precisely that he knew that I would get the solution just in the middle of the road ... One consequence of it is that in a group if a^2=b^3=c^5= (abc)^-1, then c^610=1."
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| − | (J.H. Conway, Math. Intelligencer v. 23 no. 2 (2001))
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| − | I did a search, and the entire passage can be read [https://books.google.ca/books?id=aFHyUfFUVIwC&pg=PA22&lpg=PA22&dq=Coxeter+came+to+Cambridge+and+he+gave+a+lecture,+then+he+had+this+problem+...++Ileft+the+lecture+room+thinking.+As+I+was+walking+through+Cambridge,+suddenly+theidea+hit+me,++but+it+hit+me+while+I+was+in+the+middle+of+the+road.++When+the+ideahit+me+I+stopped+and+a+large+truck+ran+into+me+...++So+I+pretended+that+Coxeter+hadcalculated+the+difficulty+of+this+problem+so+precisely+that+he+knew+that+I+would+getthe+solution+just+in+the+middle+of+the+roa&source=bl&ots=CgmxTG2n0w&sig=ohqqBGtJrpuQFeiCPPusMVsQUV4&hl=en&sa=X&ved=0CB0Q6AEwAGoVChMIy4KdnPakyAIV0ZeICh2OGghP#v=onepage&q=Coxeter%20came%20to%20Cambridge%20and%20he%20gave%20a%20lecture%2C%20then%20he%20had%20this%20problem%20...%20%20Ileft%20the%20lecture%20room%20thinking.%20As%20I%20was%20walking%20through%20Cambridge%2C%20suddenly%20theidea%20hit%20me%2C%20%20but%20it%20hit%20me%20while%20I%20was%20in%20the%20middle%20of%20the%20road.%20%20When%20the%20ideahit%20me%20I%20stopped%20and%20a%20large%20truck%20ran%20into%20me%20...%20%20So%20I%20pretended%20that%20Coxeter%20hadcalculated%20the%20difficulty%20of%20this%20problem%20so%20precisely%20that%20he%20knew%20that%20I%20would%20getthe%20solution%20just%20in%20the%20middle%20of%20the%20roa&f=false <i>here</I>] perhaps it is even possible that this event is the inspiration for this comic? The inclusion of the "large truck" is almost too perfect. [[Special:Contributions/108.162.240.217|108.162.240.217]] 23:45, 2 October 2015 (UTC)
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| − | :I have now added this story in a new trivia section. --[[User:Kynde|Kynde]] ([[User talk:Kynde|talk]]) 11:40, 16 February 2016 (UTC)
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| − | I know a solution that use random walks. :) {{unsigned ip|141.101.95.153}}
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| − | I really like this comic. It says a lot about Black Hat, but so much more about Randall :-) --[[User:Kynde|Kynde]] ([[User talk:Kynde|talk]]) 11:40, 16 February 2016 (UTC)
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| − | So, *that's* how they did Gaudi in! I always suspected a plot; now I see the method. [[Special:Contributions/172.68.142.89|172.68.142.89]] 16:30, 28 June 2018 (UTC)
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| − | Solution: ~0.7729906038309804 ohm. [[User:GcGYSF(asterisk)P(vertical line)e|GcGYSF(asterisk)P(vertical line)e]] ([[User talk:GcGYSF(asterisk)P(vertical line)e|talk]]) 20:36, 4 September 2021 (UTC)
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| − | Can't speak for Black Hat's (or Randall's) jurisdiction, but over here a vehicle not stopping for someone on a zebra crossing (especially, but also not taking some basic actions to avoid ''any'' unexpected hazard in ''any'' road, including not going too fast to do so) would be an actual driving offence. Obviously someone stepping out from behind parked vehicles, or wildlife randomly crossing busy roads without regard for 'human' common sense, would be mitigation and probably become a no-fault situation, but someone clearly stood in an empty road (let alone upon a marked crossing point) should not be a surprise to even a looming juggernaut being responsibly driven. The regressive anti-pedestrian laws in the US might somehow {{tvtropes|LookBothWays|excuse this hollywood trope}}, but it still always bothers me when a character (gloating antagonist/doomed love-interest/whoever) gets suddenly side-slammed by a vehicle that nobody (we, they, the 'safe on the sidewalk' observers) had seen/heard until the moment before the impact (if that), but whose driver ''also'' appears to have been oblivious. And where there's no obvious sign of brakes used, vehicle and victim usually dissapearing just as rapidly off the opposite side of the shot, possibly remains so. (Does not apply to malicious side-swipes, obviously, where vehicle-as-a-weapon is invoked by whoever has gained off-screen control of the 'weapon', either to {{tvtropes|SurpriseCarCrash|kick off a villainous attack}} or for a co-protagonist to interupt an {{tvtropes|EvilGloating|attempted pre-mortem evil gloat}}...) [[Special:Contributions/172.70.90.48|172.70.90.48]] 09:38, 23 January 2024 (UTC)
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| − | I created some YouTube Video that details how the problem can be solved (also exploring some paths that do not work): Here is the gitlab page for that https://gitlab.com/mooond/grid-of-1ohm-resistors and here is the youtube playlist (the solution is mostly in chapter III): https://www.youtube.com/playlist?list=PLoGRr8ff1uXESrWh6z0BNTYpc4Y-hlBOm
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