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.
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 :)
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.
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"
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.
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 ;)
*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...
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.
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.
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.
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.
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.
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.
@@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!?"
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.”
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.
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.
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
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. ;)
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!
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.
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. :)
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.
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.
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.)
+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.
"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.
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
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.
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.
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.
The last one (linear) could be very useful as a compact and efficient way of changing linear motion in one direction to linear motion at right angles to that. The other methods I know of involve conversion to and from rotary motion, or hydraulics etc.... This looks really neat!
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 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.
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.
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
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.
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...
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?
AxCissioN I was talking about the three gears utilization in modern equipment. Three gears means more friction than a standard gear meats gear situation.
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.
The link in the description didn't work for me so I googled "shapeways henrygears", clicked on the likely candidate and then on visit shop. The borromean hairpins (last example) are about 40€ readymade. A bit pricey, but amazing, I might treat myself next christmas...
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.
I have dyscalculia and have never surpassed a grade 10 math level, but these different experimental gear videos do help me to conceptualize more advanced math a little bit. I suppose one's brain processes it differently when it is applied in a mechanical process as opposed to abstract symbols on a page.
Those gears are awesome, I'd love to have a workshop with big gears like that going for no reason, they look menacing and complicated even if they don't really do anything.
Check OskarPuzzle channel's, today he uploaded a triangular gear configuration video and have other videos with really interesting gears configuration.
+joshua denton maybe yes, but the problem is, that their movement makes them slide against each other and that makes them wear faster than other solutions.
The whole thing was just a clever commercial. Now the link will be broadcast and re-broadcast by the innocent math students of the world, and Numberphile will bear a smug smile as the cash flows in.
![Eminem - Fuel (feat. JID) [Official Lyric Video]](http://i.ytimg.com/vi/t5H_CewqpKA/mqdefault.jpg)
I always thought it was a bit of inadvertent honesty when institutions use those gear-jamming drawings. "Working together, getting nothing done.
'
Hahaha, I had a somewhat similar thought! XD
The art of subversion is the language of the tormented, but the world at large is ever blind...
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.
You must live in Australia then. LOL
this is like every mathematical solution to every physical "impossibility" : If it doesn't work on a certain dimension, just add one !
it doesnt work on 3 dimensions?
*_another one_*
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...
@@qwertyuiop-cy5en yes, actually
String theory
The thing is.. the Rod is an extra gear..
0:25 ironically, the gear system shown accurately represents how well the system works
@obsidianorchids *ironically and coincidentally
YuPei wrong. It’s irony. The gears don’t work.
Captain Radd that’s the joke
It's the most true thing in the world.
guess I wasn't the only one who noticed that XD
"Wasn't really a problem that needed solving, but..." I feel like that sums a lot of math up quite nicely.
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 :)
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.
And if you put efforts on it and experiment with it you can actually apply it to a lot of things.
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"
@columbus8myhw I mean, doing puzzles simulates your brain and makes you think more
your school district grinds to a halt LOL
That was my thought. A little Freudian slip.
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.
The three gears explains everything
Chris L not at all. Idiot
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 ;)
I like how he sums up perfectly pure mathematics: "wasn't really a problem that needs solving, but there you go"
yep - with british tax-payers money
@@exceltraining what do you mean?
@@exceltraining please elaborate on what you mean
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
@@exceltraining nothing wrong with that
That was the most interesting well-thought solution to a problem that didn't need solving. Very cool.
I think this is cheating.
I think you basically just defined pure mathematics.
*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...
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.
"Your school district grinds to a halt."
Oh, so it's intentional!
The three gears in the school symbol is right. The school works against the parent the tear the child apart. Perfect analogy. Thanks
G Burke haha true
Poland 2.0
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.
Bump
damn
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.
we need engineering phile
Thirded!
Agreed! It could also help non engineers or students get excited about this field as well
Fourded!!
Garbage-men of science
Fithed!
I always thought those emblems of 3 gears were hilarious.
Same LOL
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.
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
They make me want to cry
@@agentk1205 what
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.
my car has 5 gears, explain that.
Some Weeb ..., 5 gear box settings.
Some Weeb car gears do not intermesh
The power from only one pair of gears is taken from for each of your 5 selectable "gears"
drew13600
Y'know I was joking?
lol
The mesaage from student - teacher - parent 3 gears :
If the education want to work again, get rid one of them
yeah, get rid of those pesky students
Or add school management also...
*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*
@@eggroll3055 slow down there buckaroo
@@goji_crafter 🅱️ENIS.
Do you know what really grinds my gears? When three of them are connected to each other.
"grinds my gears"
How about terrible autofocus
+markgriz focus ya fuk
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.
But 4 gears should work...
HAH it's funny because you can say that both literally and figuratively and yet it means the same in this case
"oh you can just stabilize it in post"
so he's doing numberphile, periodic table of videos and some computer stuff too, right? Probably doing even more :D
+Tiavor Kuroma Objectivity is a big one (and probably my favourite of Brady's channels).
Don't forget HI
easy, warp stabilize in ae and remove trackpoints from everything but the one gear
*****
haha what the heck, he probably sleeps about an hour per night, the rest is hosting, filming and editing
This is one the most satisfying videos I have ever watched.
+itsjustmeh21 cheers.
Then you should watch this: Ralph Steiner Mechanical Principles 1933.
+Numberphile the last set of gears somehow reminded of a locomotion but in different directions...lol. P♡;-)=0○º
+Steve-o omg... SAME
Count me in - fantastic video.
Even when I was a kid I’d look at those “three gear” designs and immediately think “that doesn’t work like that”.
@@Eisnschwein and your basis for that?
As did I.
Everyone knew because kids play with toys, gear toys are popular.
@@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!?"
@@thejumperkin Well anyone who has played around with LEGO's knows the 3-gear thing won't work....
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?
What would constitute 'movement' in 4D. It's hard to imagine.
Erm... the object changing at least one of its 4 axis?
when yo go from point (x,y,z,w) to point (x',y',z',w')
+Ranvir Singh KLEIN BOTTLES!!!!!!
Interesting thought. Makes sense that if one could describe theoretical shapes in 4D (or higher), one could also describe theoretical machines.
Someone down-voted already. Looks like the designer of the 2 pound coin found the video.
XD
The facepalm heard round the world.
Ehehehehe!
Two pounds! What idiot would design a coin that heavy? He deserves ridicule. ;)
LOL
The thing people don’t realize about the Gear Wars is that it wasn’t really about the gears at all.
You mean Gears of War?
You dont realize it Rick, but in my civilization, we had wars, entire empires destroyed and....
Lol
And none of the metal gear games had gears in them.
*grabs gearsticles and shoves them in your mouth*
NOW IT IS AHAHAH!
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.”
But 3 meshing planar gears perfectly describes society.
Nothing works, except when we think it does.
all that matters is appearance, I guess :P
so much satirical philosophy.
Hoshimaru57
*tips*
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.
@@traininggrounds9450 So in other words, the universe is a big brain. Cool!
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.
True scientist
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.
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
Hey, and what about the gear ratios? Hahaaa! So?
Robert Dicke - Could you elaborate?
the electric one on 3:33 would be so cool to have on your desk
My partner designed and built the motor that those gears run on :-) Hi Henry!
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. ;)
+Stuart Young So that's why it's so noisy? ;) Well done, anyway!
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!
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.
Perhaps the three gears should be a symbol of stability.
***** Yeah, it _is_ a nonsense idea.
Yeah, kind of ...unwanted stability, though.
gears of instability*
And it says "working together"
that's why triangle shape is the most stable shape. eg for structure purposes
You know what really grinds my gears?
Im guessing school or government, which is the older version if you think about it.
4:18 I like how they wait to stabilize the gears on the screen until after he suggests doing it in post.
I had no idea sliding gears were a thing, very cool stuff
+Nikolaj Lepka thank you for watching
no u
I think the two pound coin is a perfect allegory of british engineering
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. :)
One of my favorite parts is where he goes "if you look closely... well, if you count them" lol, gotta love that thought precision
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.
This explains why My teachers were shit, why my parents didnt give a fuck and why my grades went down like the Titanic.
I laughed way too much about this, lol
... and probably why Helloween wrote "I Want Out"
teachers and parents are all trying to crush us
+Garrison Pendergrass Love that song / band. Cheers ;)
Because you are middle class? Grimm, isn't it?
This video really grinds my gears.
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.
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.)
The essence of pure mathematics. :)
Ah, Cheub Shakepeare, my favorite historical figure!
nice reference!
Kaleb Smith Nice icon!
This channel is by far the best I have ever come across on RUclips. Thank you for sharing such wonderful videos with the world.
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!
Very interesting.....great video.
+Mark G thanks for watching
+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.
"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.
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
@@dolphinlunggrin6594 Yes, Matt Parker did mention this in his first (?) talk at the Royal Institution. I'm forgetting the year.
I think I would buy those as a toy.
There is a link to the shop in the description :p (you can buy them as a toy!)
yeah but they cost quite a bit, and are more like prototypes.
I guess they are prototypes - although they had the cogs for £12 which I thought was quite reasonable though! :)
With the right lubrication, friction can be fun.
+Pluto28 without the right lubrication it can still be fun for half of those involved..... Jkjk
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.
Its so nice to see people solving a problem that doesnt need to be solved.
the three gears next to eachother so they can't move thing has always annoyed me xD
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.
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
+Azur1al I've always said the same thing. we're assuming the 3rd dimension on a 2d representation.
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.
+orochimarujes I’m sure they would jump at the opportunity to claim just that.
3:40 The rectangular sliding gears, as well as their other interesting properties, are interlocked like the Borromean Rings.
High :D
Are these used in actual practical applications ?
Well... you can make machines that require those gears.
The last one (linear) could be very useful as a compact and efficient way of changing linear motion in one direction to linear motion at right angles to that. The other methods I know of involve conversion to and from rotary motion, or hydraulics etc.... This looks really neat!
I would guess that friction would become an issue very quickly, but possibly!
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 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.
Man, those three-gear pictures on books and what not are really Parker Squares of gear mechanisms.
this is satisfying to watch
+Michael Tuttobene glad you liked it
"wasn't really a problem that needed solving, but there you go"
haha
I can't even begin to describe how much this blew my mind.
It was so satisfying when he pushed the rod through the three red gears.
That last one would make an awesome toy! You should publish the 3D models for people to print off.
Henry Segerman Oh, nice!
Comment was deleted?
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.
Kevin G you wouldn’t happen to still have whatever link was sent, would you
How familiar are you with the gear wars, exactly?
brett20000000009 Oh man, I envy you. It wasn't even really about the gears. It all started roughly 748 years ago man.
What?
*the asker dematerializes*
The funny thing is that if you look at Gearhead's mouth he also has that three gear arrangement lol.
I really would like to see some of these used in a practical setting for a working machine or what not, very cool
ahhhh ppl out there in this world actually using their brains... Nice work guys. Keep up the cool work.
I am glad that our brightest minds work on this
0:23
I see this school isn’t working too well
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.
Nice to see Numberphile getting back to putting out interesting content.
+mdphdguy1 I think every video is interesting or entertaining - or I don't put it out. :) but not everyone likes the same stuff.
I was just yanking your chain there. Analysis and algebra turn me on but I've never felt anything from pure number theory.
Mathoma this is boring af
This is probably one of the most satisfying videos on this channel, ever.
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
Only few GENIUS are able to figure out these kind of problems. Thank you very much. I love GEARS.
This explains a lot about economics...
this makes me happy for some reason. thank you. i just had an moment of satisfaction
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.
This is one of the coolest and most impressive videos I have ever seen on YT.
Those 3-gear logos always annoy me
Me too 😑.
2:55 - to me It seems a lot like the syntesis of DNA or protein
"Nothing works ... so your school district grinds to a halt" 🤣😂🤣😂 I can't breathe
I honestly don't get it...
True mathematics and engineering;
Solving a problem that no one had in the first place
Very elegant solutions. Bravo!
All of them combine the three dimensions.
0:23 only Finland has 4 gears
When I see graphics like that, I just suppose they're not at the same depth...
+Numberphile, Are there industrial uses of these?
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...
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?
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.
AxCissioN
I was talking about the three gears utilization in modern equipment. Three gears means more friction than a standard gear meats gear situation.
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.
Ok I'm so glad I just found this channel, you are a man of true knowledge.
That is a very elegant solution you came up with! It looks great meshing and moving together. Congratulations! 👍
WHERE DO I GET THIS STUFF!?!?!
3D printing. Design your own and print it :)
link in the description
or you could buy a 3d printer and google how to print it
Or print someone else's design.
The link in the description didn't work for me so I googled "shapeways henrygears", clicked on the likely candidate and then on visit shop. The borromean hairpins (last example) are about 40€ readymade. A bit pricey, but amazing, I might treat myself next christmas...
YT channel OskarPuzzle has a webshop that sells this gear.
are any of these gears available as Dragon Age DLC?
s8an AB 'gear' is also a common way to refer to a set of armor and weapons, especially in role-playing games.
I think he gets that, it's just the hoke was terrible..
Coos Oorlog Nah but gears of war has it
best. joke. ever
make love not war (oorlog)
Are the STL files available? I have 3D printers and I'd love to print these
A problem that did not need solving, but i'm glad you did. Great job.
that red interlocking one look like a biblically accurate gears
"3 gears can't work together"
1:40
"O.K. now I Fusilli"
I was really bothered by the three gears turning problem with Gearhead's facial gears in Rick and Morty.
They aren't all connected. The right gear is in front of the left gear.
Andrew January I know, just at a glance it looks like it, and it still bothers me.
That's probably the only place in the world where such a configuration would be intentional.
Different heights
My brain still tells me its wrong.
The real question I'm asking myself is why I find this interesting and oddly exciting..
Each consecutive one flustered me more and more
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.
I have dyscalculia and have never surpassed a grade 10 math level, but these different experimental gear videos do help me to conceptualize more advanced math a little bit. I suppose one's brain processes it differently when it is applied in a mechanical process as opposed to abstract symbols on a page.
The second one, the "moebius gear" looks like a proteine and I imagine that atoms are fused by brute force to molecules in the center.
I guess the gear design was a real Parker Square, huh?
The last ore is the next step on 4 axis gimbal that compensate for altitude to make the upward movement smoother
Those gears are awesome, I'd love to have a workshop with big gears like that going for no reason, they look menacing and complicated even if they don't really do anything.
Check OskarPuzzle channel's, today he uploaded a triangular gear configuration video and have other videos with really interesting gears configuration.
Are there any real uses for the triple gears?
Simplifying synchronization in some machines. No sure about their efficiency although.
The first(working) one would if you want to haveone input and two outputs and have all at 90 degree angles to each other in a verry simple compact way
+joshua denton maybe yes, but the problem is, that their movement makes them slide against each other and that makes them wear faster than other solutions.
Mazda engineers like being weird maybe they have some use for it
where can i buy these?
There is link in the description
What kind of contraption are you planning to use these on or base your project on?
The whole thing was just a clever commercial. Now the link will be broadcast and re-broadcast by the innocent math students of the world, and Numberphile will bear a smug smile as the cash flows in.
You can 3d print it.
you must have had so much fun making this video
He was really fun. Love to watch more with him.