So in theory pretty much any input rotation cycle could be transformed into another rotation cycle. With the right gearing or sets of gearings a simple input orbital rotation could be transformed into a highly complex output rotation with pauses, jumps, speed ups and slow downs. I have no idea what this could be used for but it is truly amazing !
There is one caveat: for some shapes, if you do the math to find its corresponding partner gear, its edge intersects itself, so sadly you cant physically make it. Unless theres some really clever engineering to get around this.
@@terdragontra8900 I'm pretty sure I watched a video all about funky cogs and how to make their counterpart, and it went into depth at how to fix that issue. I basically remember how too... but I don't have the words for it im afraid. It's not complicated either... but...
Some of the older animatronics in our local amusement park run on big weird shaped gears like this for their movements. It’s very cool, they had a day where they demonstrated it with a few that were being repaired.
There a series of videos (I wish I could remember who made them) that deals with this phenomena, but it's framed as wheels and roads. I think if you look up "Any shaped wheel", you could find it.
I'd love to see a video on how you create these (if you haven't posted one already and I just missed it)! Do you have it down to an algorithm? I can imagine starting with the 'positive' gear shape with a smooth perimeter, creating the base shape for the 'negative' gear as a simple polar inversion of the positive one, then somehow converting their perimeters to that sinusoidal tooth profile. That might work for most of them, but it still doesn't explain ones like the ginkgo leaf or the square gear. With the square, at least, I figure its negative gear can be reduced down to two lobes like that thanks to the square's rotational symmetry. With the ginkgo leaf, I imagine it was mostly trial-and-error. But I'm sure there's still a lot of artistry and manual labor involved in getting each these to work smoothly. Anyway, sorry for rambling. Thanks for sharing your amazing creations!
Creating the base reciprocal shape should be easy - you just need to write the base gear shape in polar coordinates and subtract these values from the distance between the gear centers. Then add the sinusoidal or another similar shape in phase and counterphase, respectively. Some of the singular results will need handwork, probably.
Morphocular made a series of videos tackling meshing oddly-shaped "wheels" to their corresponding "roads", but he did mention that gearing was not exactly the same thing. Or that there may be other particularities when it comes to gears aside from simply adding "teeth". I wonder what those are?
Other than physical limitations, there's infinite variability. Even with two round gears, you could say there are an infinite number of sizes you could make.
@@alex.g7317 No, I'm speaking theoretically. Any time you're looking for an answer like "how many", you need parameters to get to a finite answer. For example, in this case, parameters might be "must be made with 3d printing" which would then put limits on max size and incremental size differences, which would then put a limit on how many different sizes and shapes could be made. With no parameters, the answer is infinite. For another example, let's say we're only talking about circular gears, and we ask the question, "How many different possible gears can be made?" Lots of research would be required to find practical limitations, but let's say we discovered that we could only successfully print 3d gears up 10" in diameter, and a minimum of 1" in diameter. Also, we discover that we can only print size differences with an accuracy of 1/16". So, we could print a 1" gear, and a 1-1/16" gear, but not a 1-1/32" gear. Now we have a 9" diameter range, with 15 sizes within each inch, for a total of 135 different gear sizes. Then we would work through the same process for teeth sizes. If we discovered we could effectively print 4 different tooth sizes for each of those gear sizes, we would be up to 540 unique gears. Almost certainly, a realistic equation for this would be much more complex, because it would involve different possible teeth sizes for different diameters (which would probably become a range of ratios to diameters), and it would still probably only apply to a specific 3d printer and even a specific filament. Hopefully that helps to make sense of what I meant by parameters, etc.
@@alex.g7317 Not exactly what you want, but there are plenty of proofs to show there are infinite numbers. en.wikipedia.org/wiki/Euclid%27s_theorem So you can imagine, a shape with 3 sides, with 5 sides, with 7 sides, with 11 sides, etc. You can have infinite shapes. Just keep adding more sides.
Theoretically, a ‘supergear’ could be designed to repeat an incredibly specific set of rotation speeds, and it would just look nuts. Also, interesting to see these different shapes essentially being turned inside-out.
This inverse shape seems mathematically important, it seem their is a inverse shape to every shape rotated around it. I wonder if the rotation order matters for 3d shapes, it might because of Gimbal lock en.wikipedia.org/wiki/Gimbal_lock , if so perhaps on 3d counter clock wise vs clock wise rotation order could also matter. also if so perhaps if you brake normal rotation in to states, I wonder if you could apply those states iterating each component of Quaternion position, to make a inverse Quaternion shape, that might be different.
This reminds me about a trilogy of videos by a guy named Morphocular who made simulations of wheels moving on roads where they didn't bump up or down. In the third video, he talked about wheels rolling around other wheels, like gears. (Although, not quite). This is basically the same thing, in fact, the shape of a raindrop, he said, rolled smoothly on a parabola. And look! The raindrop you made, well, rolls smoothly on a parabola! Simulations are nice. But it's even better to see this in real life too!
I don't study mechanical engineering, but I'm assuming that with every gear shape, there's a mathematical equation/procedure to figure out the other gear shape that fits perfectly with it??
@@matiaanjansenvanrensburg771 I was talking about 2 separate gears. Not the ones put together. The fish and the ginko, which is a triangular fan shaped leaf with a notch in the middle that inspired Japanese hand fans.
@@sleepCircle no, not the guy, the Gearbox!! Can't see the guy nor can I recognise Chinese, Taiwanese, Korean nor Japanese symbols/words. Sorry. I know russian Turkish etc...
So in theory pretty much any input rotation cycle could be transformed into another rotation cycle. With the right gearing or sets of gearings a simple input orbital rotation could be transformed into a highly complex output rotation with pauses, jumps, speed ups and slow downs.
I have no idea what this could be used for but it is truly amazing !
I can imagine some giant drill which needs a variability in its angular momentum. Or something like analog computer.
There is one caveat: for some shapes, if you do the math to find its corresponding partner gear, its edge intersects itself, so sadly you cant physically make it. Unless theres some really clever engineering to get around this.
@@terdragontra8900 I'm pretty sure I watched a video all about funky cogs and how to make their counterpart, and it went into depth at how to fix that issue. I basically remember how too... but I don't have the words for it im afraid. It's not complicated either... but...
One use that jumps out to me is some form of textile work - where threads need to overlap/intertwine at certain rates.
There are many applications, some weird shaped cogs already exist to perform different functions. Maybe you want to mix something at varying rates.
Some of the older animatronics in our local amusement park run on big weird shaped gears like this for their movements.
It’s very cool, they had a day where they demonstrated it with a few that were being repaired.
But did they get a little quirky at night?
is this a undertale reference
毎日焼かれてばかりでたまには回ってみたくなるのかな？たいやきくんは。
もう若い子には通じないだろうね
@@wonba10 年代がバレてしまいますね
@@nori1600 ですね。少し悲しい
TH-cam translate has translated this poorly.
そこは泳げよとたいやきくんにツッコミたい
歯が飛ぶ歯車は回転数を高くすると途中でクラッシュしそうだな。
This is satisfying. It looks like some illusions too
This is very nice. The union of cams and gears. Sneaking up on being poetic.
So basically you want one distinctive shape and then you need to design the matching gear, nice
morphocular moment
There a series of videos (I wish I could remember who made them) that deals with this phenomena, but it's framed as wheels and roads. I think if you look up "Any shaped wheel", you could find it.
@@gorillazheadi know the exact guy who you mean but i can't remember him too edit: found him
@@gorillazheadi think it had to do with square wheels or something
@@collinkaufman2316should’ve said the name lol
Some of these are ungodly abominations, others are mesmerizing to watch. Crazy stuff
I'd love to see a video on how you create these (if you haven't posted one already and I just missed it)! Do you have it down to an algorithm? I can imagine starting with the 'positive' gear shape with a smooth perimeter, creating the base shape for the 'negative' gear as a simple polar inversion of the positive one, then somehow converting their perimeters to that sinusoidal tooth profile. That might work for most of them, but it still doesn't explain ones like the ginkgo leaf or the square gear. With the square, at least, I figure its negative gear can be reduced down to two lobes like that thanks to the square's rotational symmetry. With the ginkgo leaf, I imagine it was mostly trial-and-error. But I'm sure there's still a lot of artistry and manual labor involved in getting each these to work smoothly.
Anyway, sorry for rambling. Thanks for sharing your amazing creations!
there are lots of guides on gears 3d modeling
@@1jhavus543 And how many of those guides are dedicated to modeling bizarre/pointless gear shapes?
Creating the base reciprocal shape should be easy - you just need to write the base gear shape in polar coordinates and subtract these values from the distance between the gear centers.
Then add the sinusoidal or another similar shape in phase and counterphase, respectively. Some of the singular results will need handwork, probably.
There's a very nice video on this subject by the youtuber Morphocular, can't remember its name though
@@molybd3num823 Thank you!! I think I found it. Was it "How to Design a Wheel That Rolls Smoothly Around Any Given Shape"?
たい焼きで吹いたw
Morphocular made a series of videos tackling meshing oddly-shaped "wheels" to their corresponding "roads", but he did mention that gearing was not exactly the same thing. Or that there may be other particularities when it comes to gears aside from simply adding "teeth". I wonder what those are?
I wonder if there’s an algorithm for all the possible gears that can be made.
Other than physical limitations, there's infinite variability. Even with two round gears, you could say there are an infinite number of sizes you could make.
@@darrellhaemer infinite shapes and sizes? Just curious, do you have a source or a website or article or something? I want to see more.
@@alex.g7317 No, I'm speaking theoretically. Any time you're looking for an answer like "how many", you need parameters to get to a finite answer. For example, in this case, parameters might be "must be made with 3d printing" which would then put limits on max size and incremental size differences, which would then put a limit on how many different sizes and shapes could be made. With no parameters, the answer is infinite.
For another example, let's say we're only talking about circular gears, and we ask the question, "How many different possible gears can be made?" Lots of research would be required to find practical limitations, but let's say we discovered that we could only successfully print 3d gears up 10" in diameter, and a minimum of 1" in diameter. Also, we discover that we can only print size differences with an accuracy of 1/16". So, we could print a 1" gear, and a 1-1/16" gear, but not a 1-1/32" gear. Now we have a 9" diameter range, with 15 sizes within each inch, for a total of 135 different gear sizes. Then we would work through the same process for teeth sizes. If we discovered we could effectively print 4 different tooth sizes for each of those gear sizes, we would be up to 540 unique gears.
Almost certainly, a realistic equation for this would be much more complex, because it would involve different possible teeth sizes for different diameters (which would probably become a range of ratios to diameters), and it would still probably only apply to a specific 3d printer and even a specific filament.
Hopefully that helps to make sense of what I meant by parameters, etc.
@@alex.g7317 Not exactly what you want, but there are plenty of proofs to show there are infinite numbers. en.wikipedia.org/wiki/Euclid%27s_theorem
So you can imagine, a shape with 3 sides, with 5 sides, with 7 sides, with 11 sides, etc. You can have infinite shapes. Just keep adding more sides.
Yes, actually! I saw a trilogy of videos by a guy name Morphocular on this very subject!
Marijuana gears!
Theoretically, a ‘supergear’ could be designed to repeat an incredibly specific set of rotation speeds, and it would just look nuts. Also, interesting to see these different shapes essentially being turned inside-out.
These are oddly well made and impressive
0:28 I like the maple leaf vs sideshow bob
Some completely normal gears
It's well calculated!
amazing👍 感動です！
CANADA GEAR
BOTTOM TEXT
HELL YEAH!!!!
Amazing
Главное чтобы зубья в конце сошлись а вторую часть и по первой можно накатать .
0:52 Real drop (left) and cartoon drop (right)
小さな窪みに先っぽだけ入るのすき
先っぽだけだからね
🥰🥰🥰
クワガタムシしばくイチョウの葉すき
Хорошие инженеры.
This is awesome I don't know which one I like the best I think it's awesome to see a square gear
Есть и такие
@@andreprohorov9674 I'm sorry I don't understand your language and It won't let me translate it. Maybe it's too short. Can you say something else?
why Ginkgo doesn't match completely
Шестерёнки во французских автомобилях.
Now I wonder if its possible to add the Maple leaf to a gear shaped like Canada
These aren’t really gears, gears rub together, these are wheels
Increíble!!!
Morphocular would like this.
When someone has way too much time on their hands + a laser cutter
upload more of these, *OR ELSE*
Now connect them to a car gear box and see how well that goes 🤣
Какая в этом практическая польза...?
В коробке передач разве не такие?
youtube conten.
The arrow and boobs one was pretty neat.
O CANADA, OUR HOME AND NATIVE LAND
This is amazing.
Japonia to ciekawy kraj!
0:53 Gears whose diameter ratio approaches a singularity. It makes a very satisfying clunk.
This inverse shape seems mathematically important, it seem their is a inverse shape to every shape rotated around it.
I wonder if the rotation order matters for 3d shapes, it might because of Gimbal lock en.wikipedia.org/wiki/Gimbal_lock , if so perhaps on 3d counter clock wise vs clock wise rotation order could also matter. also if so perhaps if you brake normal rotation in to states, I wonder if you could apply those states iterating each component of Quaternion position, to make a inverse Quaternion shape, that might be different.
Genius!
This reminds me about a trilogy of videos by a guy named Morphocular who made simulations of wheels moving on roads where they didn't bump up or down. In the third video, he talked about wheels rolling around other wheels, like gears. (Although, not quite). This is basically the same thing, in fact, the shape of a raindrop, he said, rolled smoothly on a parabola. And look! The raindrop you made, well, rolls smoothly on a parabola! Simulations are nice. But it's even better to see this in real life too!
0:52 coulda been a ❤💧
I don't study mechanical engineering, but I'm assuming that with every gear shape, there's a mathematical equation/procedure to figure out the other gear shape that fits perfectly with it??
The ginko and the fish is my favourite
I don't know what a ginko is, but to me it looks more like a fish and a fishing boat
@@matiaanjansenvanrensburg771 I was talking about 2 separate gears. Not the ones put together. The fish and the ginko, which is a triangular fan shaped leaf with a notch in the middle that inspired Japanese hand fans.
@@argythefox ah ok sorry missed that
I think number 2 is my spore character next to a gingko leaf.
It's kinda cool that a weirdly shaped gear needs a seemingly random shape as it's counterpart
Man I bet your parents wish you would hurry up and move out.
So nobody talks about how dirty are the first gears?
こわれそう
Probably the coolest thing I've ever seen in my life
👍Красиво и интересно
Is there a way to form those gears on the left to mantain constant velocity?
Interesting.
surprised the maple's meshing gear also looks like a leaf kinda
Sie machen mir Angst 😅
I'd love to see charts showing rotation over time for each gear.
Интересная кинематика - можно на основе этого разные самодвижущиеся игрушки делать с неожиданными движениями.
they look friendly
this is really cool
Amazing! Are dxf files available?
I'd love to see the rotational speed of the output gear graphed for these.
Eggman gear
0:55 GYATT!
"Maple" 😅
"The design is very human. Very easy to use"
Ah yes, my favorite Zelda game
Very cool
How about 3 gears, but no gears are same or mirrored?
i loved how it made sounds on the ginko one
These freak me out for some reason
Is that how chineese gearboxes looks like inside? 😉👍🏻
This guy's Japanese
@@sleepCircle no, not the guy, the Gearbox!! Can't see the guy nor can I recognise Chinese, Taiwanese, Korean nor Japanese symbols/words. Sorry. I know russian Turkish etc...
@@NadmorskiHerbalista Ah well, everyone has their own specialties.
Excellent good learning
合わせの歯車絵本の怪物ぽい
一つ目の生物みたいでかわいい
i love them all...makes me wounder what torque charts would look like of them
I know they wouldn't, but it would be funny if the graphs drew the shape of one of the cogs.
이렇게도
이렇게해도
Are these 3d printed? They almost look injection molded or machined. Very impressive!
Probably laser cut
carved.
Ohwow😮
비효율적이내
신기하네 ㅎㅎㅎ
0:01 and 0:14
Is my mind that corrupted
cool story bro, thing is, nobody needs gears this oddly specific.
0:13 The green one reminds me of the Eater of Souls from Terraria