Three Gears are Possible - Numberphile
Ғылым және технология
Henry Segerman (mathematician and 3D printing guru) discusses how to make three gears work together.
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I always thought it was a bit of inadvertent honesty when institutions use those gear-jamming drawings. "Working together, getting nothing done.
@Rippertear
8 жыл бұрын
'
@NoriMori1992
8 жыл бұрын
Hahaha, I had a somewhat similar thought! XD
@Kadaspala
8 жыл бұрын
The art of subversion is the language of the tormented, but the world at large is ever blind...
@Pile_of_carbon
8 жыл бұрын
In my country, the (un)employment office (the government agency that should help you find a job) use three gears as a symbol. It's quite apt actually. They get absolutely nothing done, waste everyone's time and once you are on their list, it gets extra tricky to find a job.
@baccus61
8 жыл бұрын
You must live in Australia then. LOL
0:25 ironically, the gear system shown accurately represents how well the system works
@TheVoltage2
4 жыл бұрын
@obsidianorchids *ironically and coincidentally
@boratsagdiyev3936
4 жыл бұрын
YuPei wrong. It’s irony. The gears don’t work.
@RumblyChair4407
4 жыл бұрын
Captain Radd that’s the joke
@unknownboi8683
4 жыл бұрын
It's the most true thing in the world.
@twilightwillbite-darkgray2391
4 жыл бұрын
guess I wasn't the only one who noticed that XD
your school district grinds to a halt LOL
@SmallSpoonBrigade
7 жыл бұрын
That was my thought. A little Freudian slip.
@robertdicke7249
7 жыл бұрын
well its a very accurate representation in the U.S. at least. I went to a technical high school and it seemed the only time they cared about my opinion and allowed me to work at my pace was when they were required to allow me to pick which trade classes I preference over others, this was the first few months of four years.
@elevenvolt1
6 жыл бұрын
The three gears explains everything
@norgepalm7315
6 жыл бұрын
Chris L not at all. Idiot
@TheDutchGuy110
6 жыл бұрын
well technically, grinding occures when things are moving, since there will be no movement (not taking gear slack into consideration) the gears will just lock up and/or break ;)
"Your school district grinds to a halt." Oh, so it's intentional!
this is like every mathematical solution to every physical "impossibility" : If it doesn't work on a certain dimension, just add one !
@qwertyuiop-cy5en
4 жыл бұрын
it doesnt work on 3 dimensions? *_another one_*
@ob3vious
4 жыл бұрын
Sounds like Grahams problem which caused his number. So much trial and error to check the system can't handle the dimensions at a single attempt...
@Lord_Vertice
4 жыл бұрын
@@qwertyuiop-cy5en yes, actually
@biblebot3947
4 жыл бұрын
String theory
@davissimo123
4 жыл бұрын
The thing is.. the Rod is an extra gear..
I like how he sums up perfectly pure mathematics: "wasn't really a problem that needs solving, but there you go"
@exceltraining
5 жыл бұрын
yep - with british tax-payers money
@usualunusualkid7149
3 жыл бұрын
@@exceltraining what do you mean?
@usualunusualkid7149
3 жыл бұрын
@@exceltraining please elaborate on what you mean
@MisterEbu
3 жыл бұрын
Timmy has 50 watermelons he eat 5 of them in one minute how many minutes will it take for him to eat all the watermelons
@ishdx9374
3 жыл бұрын
@@exceltraining nothing wrong with that
"Wasn't really a problem that needed solving, but..." I feel like that sums a lot of math up quite nicely.
@eriksparr334
4 жыл бұрын
Xander problems that at first seem irrelevent often lead to solutions that have mathematical insight and techniques which can then be applied to other more important problems. Topology for example has one problem i really like, check out 3blue1brown :)
@Artaxerxes.
3 жыл бұрын
They said the same about i, negative numbers. Until someone smart enough to apply them well was born. Since math is pure logic, nothing is truly "useless". We just don't know where to use it yet.
@twistedfate66
3 жыл бұрын
And if you put efforts on it and experiment with it you can actually apply it to a lot of things.
@columbus8myhw
3 жыл бұрын
Applies to puzzles in general. Reminds me of the person who was first introduced to jigsaw puzzles, asking "What am I supposed to do with this?" "You're supposed to put it back together." "Why should I put it back together? I'm not the one who broke it"
@luckyblockyoshi
3 жыл бұрын
@columbus8myhw I mean, doing puzzles simulates your brain and makes you think more
The three gears in the school symbol is right. The school works against the parent the tear the child apart. Perfect analogy. Thanks
@emm1757
3 жыл бұрын
G Burke haha true
@peoplesdemocraticrepublico4822
3 жыл бұрын
Poland 2.0
@33korki77
3 жыл бұрын
Yet in the depiction from this video its implied that the students dictate what the parents and teachers should do and the parents following this direction from the student halts the teachers from going in the direction the student dictates thus preventing the student from dictating anything. Essentially the moral of the story is that the system is made to prevent everyone involved from succeeding.
@superjeffstanton
3 жыл бұрын
Bump
@easternasia8258
2 жыл бұрын
damn
"oh you can just stabilize it in post"
@Leo1239150
8 жыл бұрын
so he's doing numberphile, periodic table of videos and some computer stuff too, right? Probably doing even more :D
@Zoot101
8 жыл бұрын
+Tiavor Kuroma Objectivity is a big one (and probably my favourite of Brady's channels).
@Theraot
8 жыл бұрын
Don't forget HI
@robbo580
8 жыл бұрын
easy, warp stabilize in ae and remove trackpoints from everything but the one gear
@Leo1239150
8 жыл бұрын
***** haha what the heck, he probably sleeps about an hour per night, the rest is hosting, filming and editing
Do you know what really grinds my gears? When three of them are connected to each other.
@markgriz
8 жыл бұрын
"grinds my gears" How about terrible autofocus
@jordangreene7952
8 жыл бұрын
+markgriz focus ya fuk
@evilcam
8 жыл бұрын
I don't know. When he wuz usin' dose triple gears...that wormgear configuration and the NCG, he really got dose suckers choochin'. AvE would actually calculate the newtons generated by looking at the diameter and material and figure out a friction coefficient reduced by the mass. I wish I was so skookum.
@Catlord98765
8 жыл бұрын
But 4 gears should work...
@Gyroglle
8 жыл бұрын
HAH it's funny because you can say that both literally and figuratively and yet it means the same in this case
my car has 5 gears, explain that.
@fireblazesmobileaccount2607
7 жыл бұрын
Some Weeb ..., 5 gear box settings.
@matthewbrough123890
7 жыл бұрын
Some Weeb car gears do not intermesh
@Samqdf
7 жыл бұрын
The power from only one pair of gears is taken from for each of your 5 selectable "gears"
@someweeb3650
7 жыл бұрын
drew13600 Y'know I was joking?
@sinephase
7 жыл бұрын
lol
Even when I was a kid I’d look at those “three gear” designs and immediately think “that doesn’t work like that”.
@amog8202
4 жыл бұрын
@@Eisnschwein and your basis for that?
@therealswinery5416
4 жыл бұрын
As did I.
@distinctloafer
4 жыл бұрын
Everyone knew because kids play with toys, gear toys are popular.
@thejumperkin
4 жыл бұрын
@@Eisnschwein Why would you say that? Did you not go to school? Gears are one thing I specifically remember playing with in early primary school. When I was about 5 years old everyone in my class was given a modular board with a bunch of spokes and a lot of differently sized gears to play with. I learned stuff I probably would've eventually realised about gears years later in high school, even if I didn't play with them. So yes, every time I've seen an odd number of gears driving eachother in a cycle since I was about 5 years old my first thought is "that wouldn't work" and now being an adult it's more like "who on earth would draw that or even choose it as a positive design!?"
@srenkoch6127
3 жыл бұрын
@@thejumperkin Well anyone who has played around with LEGO's knows the 3-gear thing won't work....
we need engineering phile
@alloria
8 жыл бұрын
Thirded!
@kubispice3026
8 жыл бұрын
Agreed! It could also help non engineers or students get excited about this field as well
@abdulmuhaimin9780
8 жыл бұрын
Fourded!!
@titaniumdiveknife
8 жыл бұрын
Garbage-men of science
@TheGreatSteve
8 жыл бұрын
Fithed!
This explains why My teachers were shit, why my parents didnt give a fuck and why my grades went down like the Titanic.
@TheOnlyGeggles
8 жыл бұрын
I laughed way too much about this, lol
@cxpKSip
8 жыл бұрын
... and probably why Helloween wrote "I Want Out"
@BrianHuynhPersonal
8 жыл бұрын
teachers and parents are all trying to crush us
@ZeroHBRPro
8 жыл бұрын
+Garrison Pendergrass Love that song / band. Cheers ;)
@id104335409
8 жыл бұрын
Because you are middle class? Grimm, isn't it?
I learned calc 2 from Henry Segerman. This was awesome to come across. I was blown away the first time I was in his office and saw the 3D printer he had, very smart man.
Years ago I saw a situation where three organizations started working together on a project. They made up a logo to go with this new endeavor. The logo was three gears meshed together. The slogan that went with it was “Working together we can do great things.”
I always thought those emblems of 3 gears were hilarious.
@geometrologic1797
8 жыл бұрын
Same LOL
@thegardenofeatin5965
6 жыл бұрын
When I went to mechanic school, there were three meshed gears on the cover of our textbook. The textbook was actually issued by the government printing office.
@Bunny_Aoife
6 жыл бұрын
and in the example of the school i like how, though they surely wanted to express the opposite, it probably came closer to the truth
@fireballme1153
4 жыл бұрын
They make me want to cry
@screamsinrussian5773
4 жыл бұрын
@@agentk1205 what
The thing people don’t realize about the Gear Wars is that it wasn’t really about the gears at all.
@lawlerzwtf
8 жыл бұрын
You mean Gears of War?
@rasput1n6
8 жыл бұрын
You dont realize it Rick, but in my civilization, we had wars, entire empires destroyed and....
@arthence
8 жыл бұрын
Lol
@Morbing_Time
8 жыл бұрын
And none of the metal gear games had gears in them.
@TheSentientCloud
8 жыл бұрын
*grabs gearsticles and shoves them in your mouth* NOW IT IS AHAHAH!
You know what really grinds my gears?
@RKroese
3 жыл бұрын
Im guessing school or government, which is the older version if you think about it.
The mesaage from student - teacher - parent 3 gears : If the education want to work again, get rid one of them
@zakatalmosen5984
6 жыл бұрын
yeah, get rid of those pesky students
@linithomas88
6 жыл бұрын
Or add school management also...
@eggroll3055
5 жыл бұрын
*A L L T H E O T H E R K I D S W I T H T H E P U M P E D U P K I C K S*
@goji_crafter
5 жыл бұрын
@@eggroll3055 slow down there buckaroo
@eggroll3055
5 жыл бұрын
@@goji_crafter 🅱️ENIS.
That was the most interesting well-thought solution to a problem that didn't need solving. Very cool.
@Bradman175
8 жыл бұрын
I think this is cheating.
@Xezlec
7 жыл бұрын
I think you basically just defined pure mathematics.
@LeonCoretz
7 жыл бұрын
*cough* Actually I was up the other night wondering how three gears could made to work together in some apparatus that was not prone to gear slippage...
@radiofrog
6 жыл бұрын
These are likely problems that don't need solving *yet*. Often engineers and mathematicians find solutions to problems that arise years or even decades after their initial proposal. Who knows, maybe in 10 years this solution will prove very useful in a complex production line of sorts.
I love the idea of the three spur gears in mesh as a logo! It conveys the kind of organization one expects, the kind whose meetings are where hours are lost yet the minutes are kept.
But 3 meshing planar gears perfectly describes society. Nothing works, except when we think it does.
@sinephase
7 жыл бұрын
all that matters is appearance, I guess :P
@seksypankake
7 жыл бұрын
so much satirical philosophy.
7 жыл бұрын
Hoshimaru57 *tips*
@traininggrounds9450
7 жыл бұрын
This demonstrates how the spirit and therefore net result of the work or program is always present and evident. The spirit behind these programs are false and so they show their falsehood since the truth must always be revealed. If these programs had genuine work then they would represent themselves in something which genuinely works. The physical realm or "expressed" realm will always follow the spirit it is expressing (the truth of its reality). So the reason he describes it as "solving a problem" is simply that it wards those of the truth who genuinely care for understanding away from those who do not; which is the value of this demonstration. In conclusion, you can judge a book by its cover but that does not mean judging by your own measure but by the measure of reality which doesn't change. Another way to say this is: a book is judged by its cover but not upon your own judgment. This implies reality as being the net effect of an absolute judgment beyond our own which implies an ultimate intelligence beyond our own to make such a judgment. Food for thought. What I saw from this video and comment.
@kylestanley7843
4 жыл бұрын
@@traininggrounds9450 So in other words, the universe is a big brain. Cool!
Why aren’t these things marketed to kids as the new fidget spinners ?
Are there also 4D gear combinations that wouldn't move in 3D?
@amsd1231
8 жыл бұрын
What would constitute 'movement' in 4D. It's hard to imagine.
@AdamSpanel
8 жыл бұрын
Erm... the object changing at least one of its 4 axis?
@simargl2454
8 жыл бұрын
when yo go from point (x,y,z,w) to point (x',y',z',w')
@moshe1459
8 жыл бұрын
+Ranvir Singh KLEIN BOTTLES!!!!!!
@Phlebas
8 жыл бұрын
Interesting thought. Makes sense that if one could describe theoretical shapes in 4D (or higher), one could also describe theoretical machines.
I didnt take your word for it and drew 19 wheels on my whiteboard. I can confirm the statement after wasting 5min of my life.
@theothertonydutch
7 жыл бұрын
True scientist
@robertdicke7249
7 жыл бұрын
all you had to do was the math by dividing it in half, if all the gears in the same plane result in decimals then the gears wont work if meshed from the first and back around. 19/2=9.5 no diagrams or videos needed.
@azmanabdula
7 жыл бұрын
I took a quick leap of logic If 1 turns clockwise, 2 is anticlockwise (Even= antiClockwise) If 18 turns anticlockwise 19 must be clockwise.. It took longer to write this : P
@markzalavari1780
7 жыл бұрын
Hey, and what about the gear ratios? Hahaaa! So?
@spur3
7 жыл бұрын
Robert Dicke - Could you elaborate?
My favourite thing about the £2 coin is the artist who designed it purposely did an even number gears to prevent pedants contacting him but at some point later in the design process someone changes the number of gears for some reason.
One of my favorite parts is where he goes "if you look closely... well, if you count them" lol, gotta love that thought precision
This is one the most satisfying videos I have ever watched.
@numberphile
8 жыл бұрын
+itsjustmeh21 cheers.
@EternalATomik
8 жыл бұрын
Then you should watch this: Ralph Steiner Mechanical Principles 1933.
@steve-o6413
8 жыл бұрын
+Numberphile the last set of gears somehow reminded of a locomotion but in different directions...lol. P♡;-)=0○º
@ruiyingwu893
8 жыл бұрын
+Steve-o omg... SAME
@MrOperettalover
7 жыл бұрын
Count me in - fantastic video.
This video really grinds my gears.
This channel is by far the best I have ever come across on KZread. Thank you for sharing such wonderful videos with the world.
4:18 I like how they wait to stabilize the gears on the screen until after he suggests doing it in post.
Someone down-voted already. Looks like the designer of the 2 pound coin found the video.
@baranxlr
8 жыл бұрын
XD
@kcthewanderer
8 жыл бұрын
The facepalm heard round the world.
@NoriMori1992
8 жыл бұрын
Ehehehehe!
@fennglordd6365
8 жыл бұрын
Two pounds! What idiot would design a coin that heavy? He deserves ridicule. ;)
@18782.
8 жыл бұрын
LOL
Maths gone sexual 2016
@orangelike9732
8 жыл бұрын
threesome with gears
@FreddieBrek
8 жыл бұрын
(IN THE HOOD)
@linjkarma7760
8 жыл бұрын
(ALMOST GOT SHOT)
@xSoulReverse
8 жыл бұрын
(WITH PIE)
@robo3007
8 жыл бұрын
Didn't you learn anything from this video? Odd number gear orgies don't work. You'll need to ask one to bring a twin...
Great video! I like how the center sliding gear appeared to not move. And I was always impressed with the power of the worm gear in mechanical uses too.
Subbed. Creating solutions to problems that don't really need solving is probably the most entertaining thing for me in this world. So you're something like a role model. Awesome.
I had no idea sliding gears were a thing, very cool stuff
@numberphile
8 жыл бұрын
+Nikolaj Lepka thank you for watching
@danthemango
8 жыл бұрын
no u
"What should we feature in the 2 pound coin?" "Hmmm... has to be something that signifies unity and progress..." "How about gears?" "Perfect! Make it happen." .........yep.
@dolphinlunggrin6594
3 жыл бұрын
unfortunately i don't remember where i got it from (i think it was a talk by matt parker), but the artist did initially hand in a design with an even number of gears but one was later removed to make it look nicer
@urmi-e-azar1776
2 жыл бұрын
@@dolphinlunggrin6594 Yes, Matt Parker did mention this in his first (?) talk at the Royal Institution. I'm forgetting the year.
You guys are geniuses. I don't think, even with a lifetime of effort, would I have come up with a single of those solutions. Absolutely fantastic!
I've thought of that some time and numberphile making a video on it is so satisfying to me. That genius engineer meme came to my mind when I first saw the 3 gears image lol
Heh. I used to layout and production work for a monthly newspaper for an engineering professional body, and the editor was very forthright on never, ever, EVER having any graphic that involved gears in a configuration that could not turn. :)
Perhaps the three gears should be a symbol of stability.
@Jimpozcan
8 жыл бұрын
***** Yeah, it _is_ a nonsense idea.
@AloisMahdal
8 жыл бұрын
Yeah, kind of ...unwanted stability, though.
@Brewing5torm
8 жыл бұрын
gears of instability*
@boghund
8 жыл бұрын
And it says "working together"
@redapple1683
8 жыл бұрын
that's why triangle shape is the most stable shape. eg for structure purposes
It was so satisfying when he pushed the rod through the three red gears.
Very elegant solutions. Bravo! All of them combine the three dimensions.
Well shit, that's a hell of a mystery no one thought was a mystery and didn't even really need solving, but damn if it didn't just get solved, so nice work.
@woodfur00
8 жыл бұрын
It occurs to me that this quote applies to rather a lot of the topics covered on Numberphile, but 2:16 reminded me of it especially. (I am almost certain Cherub Shakespeare said that.)
@OversoulRRR
8 жыл бұрын
The essence of pure mathematics. :)
@Ruminations09
8 жыл бұрын
Ah, Cheub Shakepeare, my favorite historical figure!
@kat_stuff
7 жыл бұрын
nice reference!
@woodfur00
7 жыл бұрын
Kaleb Smith Nice icon!
I think the two pound coin is a perfect allegory of british engineering
This is one of the coolest and most impressive videos I have ever seen on YT.
He was really fun. Love to watch more with him.
Very interesting.....great video.
@numberphile
8 жыл бұрын
+Mark G thanks for watching
@estherholt8435
8 жыл бұрын
+Numberphile great vid also the guy who designed said 2 pound coin was anti industry and wanted to make the coin about nature so when they told him no he hid the imposibility in the coin.
the three gears next to eachother so they can't move thing has always annoyed me xD
@DragonHeart53
8 жыл бұрын
Yeah. it's always with engineering establishements to. XD It's like they handed off the logo design to the art class and told them to make something engineering related. and it's always gears. and it's never just two gears cause it's boring. so they make it three. cause it's more astheticly pleasing than two gears. but then they mess it up by linking the first and third gears. XD it'd be fine if there was a little space between two of the gears just so it works. cause you can always say that you're driving two different things from the same motor at two different speeds.
@Azur1al
8 жыл бұрын
funnily i've always thought it comes out of the plane like a watches gears so it never looked wrong.......guess i didn't let it be wrong XD
@brothaman4578
8 жыл бұрын
+Azur1al I've always said the same thing. we're assuming the 3rd dimension on a 2d representation.
@Belboz99
8 жыл бұрын
Take a look at Revolio Clockberg Jr in Rick and Morty... his mouth and internals are made up primarily of these 3-gear impossibilities. Also, I worked for a manufacturing company as the product photographer and web designer, when I went to create an SVG version of their company logo, I realized they had drawn it in such a way that it couldn't exist in normal 3D space. Their company logo was like one of those never-ending staircases.
@RonWolfHowl
8 жыл бұрын
+orochimarujes I’m sure they would jump at the opportunity to claim just that.
That is a very elegant solution you came up with! It looks great meshing and moving together. Congratulations! 👍
"Nothing works ... so your school district grinds to a halt" 🤣😂🤣😂 I can't breathe
@kurzackd
2 жыл бұрын
I honestly don't get it...
I think I would buy those as a toy.
@DrawCuriosity
8 жыл бұрын
There is a link to the shop in the description :p (you can buy them as a toy!)
@BloodSprite-tan
8 жыл бұрын
yeah but they cost quite a bit, and are more like prototypes.
@DrawCuriosity
8 жыл бұрын
I guess they are prototypes - although they had the cogs for £12 which I thought was quite reasonable though! :)
@28Pluto
8 жыл бұрын
With the right lubrication, friction can be fun.
@crunch9876
8 жыл бұрын
+Pluto28 without the right lubrication it can still be fun for half of those involved..... Jkjk
3:40 The rectangular sliding gears, as well as their other interesting properties, are interlocked like the Borromean Rings.
Ok I'm so glad I just found this channel, you are a man of true knowledge.
Its so nice to see people solving a problem that doesnt need to be solved.
Man, those three-gear pictures on books and what not are really Parker Squares of gear mechanisms.
"wasn't really a problem that needed solving, but there you go" haha
Very very much worth watching, thanks for getting my gears going. Everyone loves to hear that engine rev up
All of them look so satisfying!
the electric one on 3:33 would be so cool to have on your desk
@lilmisshorngirl
8 жыл бұрын
My partner designed and built the motor that those gears run on :-) Hi Henry!
@StuartYoung
8 жыл бұрын
I made the "motorised box" for Henry for the Triple Gear. Inside is a small Arduino, a stepper motor driver board, and a Nema 17 stepper motor. We used a stepper motor instead of a DC motor since it was easy to adjust the speed by adjusting the number of pulses in a second, instead of playing with more gears. All runs of a little 12V DC plugpack. And yes, +littlemisshorngirl is my partner. ;)
@raykent3211
8 жыл бұрын
+Stuart Young So that's why it's so noisy? ;) Well done, anyway!
@raykent3211
8 жыл бұрын
Stuart Young Ah, interesting, and ta for the reply. I once was surpised to hear a stepper from a PC fan sing a song (yes, really, a tune) to signal an over voltage error condition. Witty controller chip programmer!
@StuartYoung
8 жыл бұрын
Using a side effect as a tool is always fun. :D Another reason why it might sound loud is that the print of the Triple Gear used on the motorised one wasn't polished (base, drive rod & triple gear). That wouldn't help as the motor needs to overcome more friction at each step. I don't think Shapeways actually had the polished parts available when Henry initially designed it. Makes me wonder why he didn't try replacing at least the triple gear on the motorised version with a polished one.
this is satisfying to watch
@numberphile
8 жыл бұрын
+Michael Tuttobene glad you liked it
How familiar are you with the gear wars, exactly?
@cammas6242
7 жыл бұрын
brett20000000009 Oh man, I envy you. It wasn't even really about the gears. It all started roughly 748 years ago man.
@router_BasedUser
6 жыл бұрын
What? *the asker dematerializes*
@katphisH11
6 жыл бұрын
The funny thing is that if you look at Gearhead's mouth he also has that three gear arrangement lol.
+Numberphile SWEET! Those are some cool gears. Thanks for the video and link to the source for the gears.
That last one would make an awesome toy! You should publish the 3D models for people to print off.
@userPrehistoricman
8 жыл бұрын
Henry Segerman Oh, nice!
@keving9770
8 жыл бұрын
Comment was deleted?
@keving9770
8 жыл бұрын
Prehistoricman Huh, weird, in the alerts bar I can see that comment now... Thanks for the link! I plan on printing one out when I get the chance.
@dv5873
6 жыл бұрын
Kevin G you wouldn’t happen to still have whatever link was sent, would you
I really would like to see some of these used in a practical setting for a working machine or what not, very cool
This video was so fun to watch!
I can't even begin to describe how much this blew my mind.
Gear technology is a really cool study. Someone just came up with an alarm clock sized 11,000,000 : 1 ratio gear box using only like 12 gears or something. Very cool.
this makes me happy for some reason. thank you. i just had an moment of satisfaction
ahhhh ppl out there in this world actually using their brains... Nice work guys. Keep up the cool work.
That's absolutely brilliant. I'll say that although it took brilliant and artistically creative minds to do, it simply could not have been achieved without the use of computers. Still astonishingly brilliant. Deserving of an award. There has to be a practical application for that somehow. I'm blown away.
0:23 I see this school isn’t working too well
Nice to see Numberphile getting back to putting out interesting content.
@numberphile
8 жыл бұрын
+mdphdguy1 I think every video is interesting or entertaining - or I don't put it out. :) but not everyone likes the same stuff.
@Math_oma
8 жыл бұрын
I was just yanking your chain there. Analysis and algebra turn me on but I've never felt anything from pure number theory.
@Entschuldigungen
6 жыл бұрын
Mathoma this is boring af
This is probably one of the most satisfying videos on this channel, ever.
i believe the last 3 gear example is probably the best way of explaining how the 3 gear mechanic works sense each are independently moving on a separate plane instead of moving on the same plane in 2 different motions.
Are the STL files available? I have 3D printers and I'd love to print these
This explains a lot about economics...
A problem that did not need solving, but i'm glad you did. Great job.
OH! I love it! Great spotting!
Only few GENIUS are able to figure out these kind of problems. Thank you very much. I love GEARS.
"3 gears can't work together" 1:40 "O.K. now I Fusilli"
Oh my. How did I miss that. Thank you.
I really enjoyed this guest.
I was really bothered by the three gears turning problem with Gearhead's facial gears in Rick and Morty.
@aJanuary
8 жыл бұрын
They aren't all connected. The right gear is in front of the left gear.
@TonksMoriarty
8 жыл бұрын
Andrew January I know, just at a glance it looks like it, and it still bothers me.
@daemonCaptrix
8 жыл бұрын
That's probably the only place in the world where such a configuration would be intentional.
@Selendryle
8 жыл бұрын
Different heights
@TonksMoriarty
8 жыл бұрын
My brain still tells me its wrong.
When I see graphics like that, I just suppose they're not at the same depth...
Wicked. That is some really fly gear you have there Henry.
Re: your 2 pound coin, I saw a video talking about this. It seems the designer considered gear lock, and included 20 gears in the original design to make it mechanically correct. One of the gears was subsequently removed.
Now get 19 gears working xd
@EvansRowan123
8 жыл бұрын
You can probably just have 16 normal gears and 3 weird 3d ones.
@mancheaseskrelpher8419
8 жыл бұрын
If you had all 19 of them weird, though... I'd put that on a coin!
@egybizonyosember
8 жыл бұрын
There's some discussion above about doing this stuff in 4 dimensions. Starting from there, I kind of suppose (but have no way of telling whether it's true or not, I'd like a see an actual mathematician talk about it) that you can't make 4 gears in 3D, but it's possible in 4D. So, by induction, 19 gears would be possible in 19D. Or I may be more wrong than ever, but that is how I believe it works.
@CJT3X
8 жыл бұрын
I'm fairly certain the number of dimensions does not have to equal the number of gears... You can make 4 gears work in 2D, for example.
@egybizonyosember
8 жыл бұрын
Charles Thompson III Yeah, you're right. However, is it possible that the number of gears has to be multiple of the dimensions in order to work (honest question,I have no idea)?
Please make a video using stabilization of those 3 flat gears. That would be sweet.
you guys always blew my mind!
Each consecutive one flustered me more and more
0:23 only Finland has 4 gears
2:55 - to me It seems a lot like the syntesis of DNA or protein
True mathematics and engineering; Solving a problem that no one had in the first place
My mind is freaking blown. That is so awesome.
+Numberphile, Are there industrial uses of these?
@nimoy007
7 жыл бұрын
Templarfreak Oh really? Do you own a car or buy anything that wasn't produced locally? Oh wait, you're on the Internet, guess you have an electronic device that was made without the use of mining drills for the tantalum in your capacitors, without trucks to transport raw materials, without CNC machines and 3D printers for R&D... hmmmm...
@nimoy007
7 жыл бұрын
Templarfreak Okay, maybe the drill was a bad example, and it seems to depend on what CNC you use, but 3D printers absolutely use gears. Also... what exactly do you think a car transmission is? And let's not forget about robots. Servos, anyone?
@Fasteezus
7 жыл бұрын
I doubt it the gears cause to much friction when producing work ,and because of that are likely to break more often than even regular gears.
@Fasteezus
7 жыл бұрын
AxCissioN I was talking about the three gears utilization in modern equipment. Three gears means more friction than a standard gear meats gear situation.
@nimoy007
7 жыл бұрын
Templarfreak You have to remember that a gear spins on some kind of axis. There is definitely going to be a significant amount of friction introduced there.
so, could we please get a download link so we can 3d print them. thanks
That is just fabulous... You guys are real geniuses...
BRAVO!! Incredible, CAD looks like it would take days and days to construct. Probably impossible to machine, he made the three rings from one single STL. Just wow! Cheers my friend.