This machine is called a harmonograph. I made one on my channel many years ago. One feature you can also experiment with is rotation, but your strings need to come to more of a point for that to work. You got some great patterns going!
Step one, if you have cable TV, get rid of it now. You'll find lots more interesting and more productive things to do with your time if you watch TV. I'm a life-long engineer and tinkerer since I was a teenager, I'm over 50 now. There is so much to learn and so little time let me tell you.
With an audio-amp and an old tube-tv i built a lissajous-projektor in the middle 70s. The signal comes from the audio-amp to the coils on the back of the picture-tube. And this with hardrock-music. Boy, this made fun! So i can understand your last sentence. Cheerio from Germany.
It's two Simple Harmonic Motion (a function of sine) combined. That's the same that makes the orbits of the Planets elliptical. Very nice to see the demonstration.
We did something similar back when I was in high school but we used a pop bottle of sand with a hole in it that slowly let out a trail of sand. The bottle hanging from a string that went up and Y'd to two anchor points. I like the pen better as it's much less messy and you get to keep the drawings. It reminds me of spirograph art.
Just for your information, this "bug" or whatever it is didn't affect me, this video was the first thing in my feed as soon as I opened TH-cam. Great video, by the way. I find this subject fascinating.
Matthias Wandel: 0:40 I believe the difference in frequencies between the two modes is not because of different length of swing, it actually is the same (the distance from the center of gravity to axis of swing is the same in both modes). What is different is that in one mode the platform itself rotates, thus storing energy in its rotation. Also when you moved the weights further away from the platform you increased its moment of inertia, thus decreasing rate of swing for the mode in which the platform rotates about that axis
This is why nerds have changed the world. And my use of the word "nerd" conveys my utmost respect at your intellect and constant enjoyment of your videos. Applause.
As an ex/retired teacher I can say students who ask interesting questions or take what they learnt away and develop it further are a delight to teach. I wish more students were like that.
Reminds me so much of the Foucault pendulum I saw at the museum as a child, in the morning there was a circle of bowling pins during the day as the massive pendulum swung (on it’s 12 m cable) it knocked them down in sequence as the earth rotated, very fascinating. I like yours because it reminds me of my Etch-a-Sketch on hyperdrive!
You should try with a weight stuck far out on a pole. It's interesting. Also, works a lot more interesting and longer when the pen is replaced by a felt one, stuck on a piece of spring, and that attached to a pendulum with about a kilo weighing it down. Constraints on the wire create interesting designs. We used to play with this in the sports room. Hung by the beams above, on a rope, and with a lot of A2 paper tacked in between the parquet seams.
meu caríssimo Mathias daqui do Brasil mando um forte aperto de mão , e lhe digo você é o cara , camarada tu és foda nos seus projetos , e inspirando em te eu realizo muitos trabalhos sou um camarada do estado de minas gerais , um estado cheio de montanhas e sou aposentado na profissão de oficina mecânica no ramo de metalurgia , digo a você como e excelente trabalhar sempre , eu tenho 62 anos de idade e encontre na madeira a minha alma , um forte abraço e Deus nos conduza
If you also configure the pen to swing on a pendulum, the two pendulums I'm motion will seldomly ink the same pattern, you would create much more diverse patterns. He is missing the entire 2nd half by leaving the ink in a non moving jig. Most of his patterns look relatively the same.
The math actually isn't very complicated. The swing of the pendulum along one axis can be represented as a sine wave with a given frequency. Same for the other axis. The ratio of their frequencies produce the shape. Easiest to imagine is a circle, where the ratio is 1/1.
There are other factors, too - amplitude (how hard he pushes on the suspended board), decay (how quickly inertia is lost), but these are of lesser import than the main principle.
Tha's clever as hell - the way you inserted the dowels to effect only one axis of swing. That would never have occurred to me - I would have gone to a whole different style harmonograph with independent pendulums.
Me too from Google - A rose engine lathe is a specialized kind of geometric lathe. ... The die used to prepare the printing plates was partially created by means of the rose engine, which produced a complicated pattern on a separate piece of metal.
Hey brother, if you where to put half the effort that others put in when it comes to content your channel would explode EVEN MORE I would say, personally I enjoy your content, but I watch your channel for you. You are a colourful character with alot of knowledge and i personally have learned alot from you, the engineering problem solve aspect and the way you go about building things, you dont necessarily see it on camera but I can see it and appreciate it, and I have at least picked up the basics which inspired me to learn more, 3 years later i have build myself a workshop in my back garden with everything I would need to build something when I get an idea. I'd so love to tell you my story but I'll leave it at that But keep up the good work doing what you love.
I'd had one of these set up at the house a few years ago. Much bigger but my results were not nearly as good as yours so kudos. I wonder if you could add spring loaded bumpers at the height of the platform to constrain the motion and return some energy to the system for longer lasting swings. Jus' thinkin'
Matthias' own Illuminati Eye machine..! Well this explains his immunity to injury from all the safety rules he flouts! ;- ) Please cap that pen, sir, before someone loses an eye.
I agree. It's all very well having ear protection sitting on the bench, but if you are not going to wear it when swinging noisy pendulums, it's just setting a dangerous example to beginners and children.
If you want to do something especially cool with this, you can look up the frequency ratios for musical intervals, and set the swing accordingly. Your 1:2 ratio would be an octave.
Indeed, initial views are quite low, so probably a lot aren't seeing it in their feeds. Same happened for my last week's video. TH-cam fiddling with their algorithms as usual!
I thought you were just a sick wood worker no I know that you are a sick mind. Just love it your videos are always something to behold never know what I'm going to get.
I remember in physics classes watching Lissajous curves on oscilloscopes with two different sine waves x and y. My teacher pronounced it Liss-a-jew. Now I'm the physics teacher! On UK TV in the 80s, Tony Hart used to do similar patterns from a bucket of sand with a hole in over a piece of card.
similar can be achieved using an LED on the pendulum and a long exposure on your camera (no friction from the pen that way either) using your equipment I'd stick the led in the middle of the board and mount the camera directly above on the beam. lights out and away you go.
The video reminds me a double pendulum with a tip point mass travel simulation in 2D plane using Matlab. The tip point mass runs in similar trace and shape. Change some parameters, such as mass and pendulum rod lengths, and re-run simulation, the trace changes and varies quite a bit.
Nice patterns and adjustment principles. Btw I am sketching on a folding up bed for a guestroom. Folding along the long side of the bed. Tricky to build the mechanism to both fold out and lift it. You dont happen to need one? :)
This really shows how you can produce some cool art using scientific principles. Frame those up and you have a nice piece for the office or shop. Maybe do a video on creating a wood picture frame.
Your mind does not work like normal human minds... and that is a wonderful thing!! It gives me hope for the human race that there are people like you out there!
this inspired me to write some software that simulates these (kind of). i used a more general version of harmonic motion that is not tied to a pendulum, and it also doesn't have any loss in the amplitude over time. i think i like your version more though :)
Hello Mr. Wandel... First I loved your work! Second I'm planning to build one of this for my kids. I hope you could help me to figure out how you made the pen works! I had one when I was a kid. It was sold as a board game (not build by an official brand) perfectly safe for kids to assemble and draw. Unfortunately I can't get one like that anymore! Hope to hear from you. Thanks in advance!
If you got one of those banggood blue laser diodes, you could use that to trace the line on the paper without imparting any friction at all on the paper...
Very cool, nice way to visualise it, like you say, much more engaging than using a computer to draw them! Interestingly this video appeared on my home screen but not my subscriptions... even though I'm definitely still subscribed?
That explains the strange harmonics that my band saw developed the last time I cut unobtanium. It dulled the blade, and cleared the neighborhood of small dogs.
Matthias Wandel, my favorite channel, how about a fool proof trap for armadillos? Yeah, I know, not any up your way, just a matter of time! Everywhere here in Tennessee
Can you try adding a powered lazy susan (microwave turntable?) to this setup. Would be cool to see how one of the first patterns would come out with the additional rotation.
Suggestion - if you can get a pen that changes colour throughout the cycle, then one will be able to see the order of the lines as well as the shape. Could maybe be done with a pen in colour A dipped briefly into ink of colour B?
I have a suggestion for a subject for a video. I am looking at purchasing a portable generator. Some of these tout themselves as 'pure sine wave' and therefore suitable for running electronic devices. Are they really 'pure sine wave'? Is this even necessary? How 'pure sine wave' is the usual household supply? A chance to play with an oscilloscope perhaps. Unfortunately I don't have the funds to provide you with a generator to play with. Is any one else interested in seeing Matthias do a video about this?
I could've sworn I had this channel setup to receive notifications, but I just checked and the bell icon wasn't "ringing". Am I nuts, or is anyone else seeing the same?
TH-cam is broken, a lot of videos aren't in my sub box. I only see them through notifications or being recommended on the home page. I've seen a lot of comments like this today.
Fácil es opinar con el trabajo ajeno. Claridad mental, razonamientos bien enunciados, prolijidad y dedicación de Mathias Wendel. Muchas gracias.
And this is why this is the greatest channel ever. Thanks Matthias for keeping the internet interesting and full of good things.
This machine is called a harmonograph. I made one on my channel many years ago. One feature you can also experiment with is rotation, but your strings need to come to more of a point for that to work. You got some great patterns going!
Really like these. Easy to do on an oscilloscope but much neater to see a mechanical implementation.
That feeling I get when watching Matthias play reminds me of how smart I'm not...
Step one, if you have cable TV, get rid of it now. You'll find lots more interesting and more productive things to do with your time if you watch TV. I'm a life-long engineer and tinkerer since I was a teenager, I'm over 50 now. There is so much to learn and so little time let me tell you.
I don't know if you usually try to keep your videos clean or not, but I loved the "aw, shit" when the pen mount fell down.
You are a genius! You give great examples that are easy to understand and presented in an interesting manner.
With an audio-amp and an old tube-tv i built a lissajous-projektor in the middle 70s. The signal comes from the audio-amp to the coils on the back of the picture-tube. And this with hardrock-music. Boy, this made fun! So i can understand your last sentence.
Cheerio from Germany.
It's two Simple Harmonic Motion (a function of sine) combined. That's the same that makes the orbits of the Planets elliptical. Very nice to see the demonstration.
I really like the physical drawings as well. It was fun to see your patterns look exactly like the ones I have seen on my screen over and over!
We did something similar back when I was in high school but we used a pop bottle of sand with a hole in it that slowly let out a trail of sand. The bottle hanging from a string that went up and Y'd to two anchor points. I like the pen better as it's much less messy and you get to keep the drawings. It reminds me of spirograph art.
Just for your information, this "bug" or whatever it is didn't affect me, this video was the first thing in my feed as soon as I opened TH-cam. Great video, by the way. I find this subject fascinating.
by that time the bug had cleared itself.
Oh, that wasn't so bad then. I hope the bug didn't cost you too much views.
4:11 that subtle "ah shit"
Never thought that would come out of a person who is a million times smarter than me lmao
Smart people cuss all the time!
Matthias Wandel: 0:40 I believe the difference in frequencies between the two modes is not because of different length of swing, it actually is the same (the distance from the center of gravity to axis of swing is the same in both modes). What is different is that in one mode the platform itself rotates, thus storing energy in its rotation. Also when you moved the weights further away from the platform you increased its moment of inertia, thus decreasing rate of swing for the mode in which the platform rotates about that axis
Same thing, different way of explaining it. I actually also explain this way of looking at it in the linked article.
T = 2*pi*sqrt(l/g) is this how you calculate the period?
if yes then the period (T) is being affected by sqrt(2) of length (l)
Came here to tell this.
so satisfying to hear the word inertia used properly
AvE just mentioned this in his new video where he's making patterns and music with an oscilloscope. Now they should collab on a marble machine. Epic!
"That Gear Cutting Canadian Wood Elf that hates my guts". Maybe a collab is not on the cards
I don't know. Could be the "Feud" is good natured ribbing like Matthias and Steve Ramsey. Or It could be real. I still think a collab would be epic.
I agree, I think Ave's dislike for tree carcass would not suit Matthias
This is why nerds have changed the world. And my use of the word "nerd" conveys my utmost respect at your intellect and constant enjoyment of your videos. Applause.
You must have driven your teachers crazy.
No, school is theory, he is a practitioner ... : )
Joe Brown I
As an ex/retired teacher I can say students who ask interesting questions or take what they learnt away and develop it further are a delight to teach. I wish more students were like that.
Learned or learnt both are acceptable.
Lenny, I doubt it. He uses capital letters at the beginning of his sentences, something proper never utilized in lowlife ghetto culture.
Reminds me so much of the Foucault pendulum I saw at the museum as a child, in the morning there was a circle of bowling pins during the day as the massive pendulum swung (on it’s 12 m cable) it knocked them down in sequence as the earth rotated, very fascinating. I like yours because it reminds me of my Etch-a-Sketch on hyperdrive!
You should try with a weight stuck far out on a pole. It's interesting. Also, works a lot more interesting and longer when the pen is replaced by a felt one, stuck on a piece of spring, and that attached to a pendulum with about a kilo weighing it down.
Constraints on the wire create interesting designs.
We used to play with this in the sports room. Hung by the beams above, on a rope, and with a lot of A2 paper tacked in between the parquet seams.
meu caríssimo Mathias daqui do Brasil mando um forte aperto de mão , e lhe digo você é o cara , camarada tu és foda nos seus projetos , e inspirando em te eu realizo muitos trabalhos sou um camarada do estado de minas gerais , um estado cheio de montanhas e sou aposentado na profissão de oficina mecânica no ramo de metalurgia , digo a você como e excelente trabalhar sempre , eu tenho 62 anos de idade e encontre na madeira a minha alma , um forte abraço e Deus nos conduza
Very cool! I'm amazed at how uniform those patterns are, physics and nature are the shit!
I really absolutely love and appreciate all of your videos. You help increase my own ingenuity. Thank you.
Just the fact that you can even figure that out amazes me!
This is so cool! Now I want to try it!
If you also configure the pen to swing on a pendulum, the two pendulums I'm motion will seldomly ink the same pattern, you would create much more diverse patterns. He is missing the entire 2nd half by leaving the ink in a non moving jig. Most of his patterns look relatively the same.
Very interesting patterns that developed.
Reminds me of the spirograph
The Matthirograph!
Spirograph was the first thing I thought of
But the spirograph was geared. This is free hand inertia driven
Billy Beane That's true but, both give the same results
The math behind this is way over my head but its a cool experiment and demo
They are just parametric curves like a circle, but with different frequencies on either side.
The math actually isn't very complicated. The swing of the pendulum along one axis can be represented as a sine wave with a given frequency. Same for the other axis. The ratio of their frequencies produce the shape.
Easiest to imagine is a circle, where the ratio is 1/1.
There are other factors, too - amplitude (how hard he pushes on the suspended board), decay (how quickly inertia is lost), but these are of lesser import than the main principle.
Tha's clever as hell - the way you inserted the dowels to effect only one axis of swing. That would never have occurred to me - I would have gone to a whole different style harmonograph with independent pendulums.
I'd never heard of a 'rose engine', but - as is typical of these videos - an offhand reference by Matthias sent me off to learn something new.
Me too from Google - A rose engine lathe is a specialized kind of geometric lathe. ... The die used to prepare the printing plates was partially created by means of the rose engine, which produced a complicated pattern on a separate piece of metal.
Hey brother, if you where to put half the effort that others put in when it comes to content your channel would explode EVEN MORE I would say, personally I enjoy your content, but I watch your channel for you. You are a colourful character with alot of knowledge and i personally have learned alot from you, the engineering problem solve aspect and the way you go about building things, you dont necessarily see it on camera but I can see it and appreciate it, and I have at least picked up the basics which inspired me to learn more, 3 years later i have build myself a workshop in my back garden with everything I would need to build something when I get an idea. I'd so love to tell you my story but I'll leave it at that But keep up the good work doing what you love.
THIS MAN IS TOO EFFING SMART
I'd had one of these set up at the house a few years ago. Much bigger but my results were not nearly as good as yours so kudos. I wonder if you could add spring loaded bumpers at the height of the platform to constrain the motion and return some energy to the system for longer lasting swings. Jus' thinkin'
Matthias' own Illuminati Eye machine..! Well this explains his immunity to injury from all the safety rules he flouts! ;- ) Please cap that pen, sir, before someone loses an eye.
I agree. It's all very well having ear protection sitting on the bench, but if you are not going to wear it when swinging noisy pendulums, it's just setting a dangerous example to beginners and children.
Otto Reuter Paulo César Ramos
Friburgo É do Rio de Janeiro Brasil
Otto Reuter Paulo César Ramos
Friburgo Brasil É do Rio
No puedo criticar tu trabajo, porque nadie lo conoce.
If you want to do something especially cool with this, you can look up the frequency ratios for musical intervals, and set the swing accordingly. Your 1:2 ratio would be an octave.
Love to see the view from a camera mounted on the moving platform
This video doesn't show up in my subscription box.
It finally begins...
Same for me, second video to do so this week. :/
Same
ditto... what the f yo
Indeed, initial views are quite low, so probably a lot aren't seeing it in their feeds. Same happened for my last week's video. TH-cam fiddling with their algorithms as usual!
Same here. Clicking on the bell to not miss the next video.
This video did not show up in my feed.
That's a well seasoned fountain pen. No ink skipping in any direction!
A slight axial twist added to one of the other movements would have been interesting. Great video
This is a perfect example for a Science teacher to show students :)
on second thought, you must be a teacher! thanks for this video! :)
In my opinion, this is just as much fun as a pure woodworking video...
I thought you were just a sick wood worker no I know that you are a sick mind.
Just love it your videos are always something to behold never know what I'm going to get.
I remember in physics classes watching Lissajous curves on oscilloscopes with two different sine waves x and y. My teacher pronounced it Liss-a-jew. Now I'm the physics teacher!
On UK TV in the 80s, Tony Hart used to do similar patterns from a bucket of sand with a hole in over a piece of card.
3:43 so that's how pretzels are made
Tom Nicholls that's actually pretty interesting that it made that shape so
similar can be achieved using an LED on the pendulum and a long exposure on your camera (no friction from the pen that way either) using your equipment I'd stick the led in the middle of the board and mount the camera directly above on the beam. lights out and away you go.
The video reminds me a double pendulum with a tip point mass travel simulation in 2D plane using Matlab. The tip point mass runs in similar trace and shape. Change some parameters, such as mass and pendulum rod lengths, and re-run simulation, the trace changes and varies quite a bit.
This would never even enter my rain of thought, but got to say it was cool to watch !
Nice patterns and adjustment principles. Btw I am sketching on a folding up bed for a guestroom. Folding along the long side of the bed. Tricky to build the mechanism to both fold out and lift it. You dont happen to need one? :)
This really shows how you can produce some cool art using scientific principles. Frame those up and you have a nice piece for the office or shop. Maybe do a video on creating a wood picture frame.
woodgears.ca/frame/picture_frame.html
Your mind does not work like normal human minds... and that is a wonderful thing!! It gives me hope for the human race that there are people like you out there!
This video is really fantastic Matthias.
Sir... how do you come up with these AWESOME things?? this is amazing. Thanks for sharing. I'm gonna do this with my children.
this inspired me to write some software that simulates these (kind of). i used a more general version of harmonic motion that is not tied to a pendulum, and it also doesn't have any loss in the amplitude over time. i think i like your version more though :)
Hello Mr. Wandel... First I loved your work! Second I'm planning to build one of this for my kids. I hope you could help me to figure out how you made the pen works! I had one when I was a kid. It was sold as a board game (not build by an official brand) perfectly safe for kids to assemble and draw. Unfortunately I can't get one like that anymore! Hope to hear from you. Thanks in advance!
Why would anyone dislike this video?
That was mind blowing!
If you got one of those banggood blue laser diodes, you could use that to trace the line on the paper without imparting any friction at all on the paper...
Very cool, nice way to visualise it, like you say, much more engaging than using a computer to draw them! Interestingly this video appeared on my home screen but not my subscriptions... even though I'm definitely still subscribed?
Hahahaha he's always so calm and collected and then suddenly "aw shit!" lmao. Keep up the good work though
That explains the strange harmonics that my band saw developed the last time I cut unobtanium. It dulled the blade, and cleared the neighborhood of small dogs.
Don't you know? Unobtanium is only to be cut with expensium
Matthias Wandel, my favorite channel, how about a fool proof trap for armadillos?
Yeah, I know, not any up your way, just a matter of time!
Everywhere here in Tennessee
My Land Cruiser supplier, Marv Specter (RIP), once told me I couldn’t get unobtainium at any price!
Can you try adding a powered lazy susan (microwave turntable?) to this setup. Would be cool to see how one of the first patterns would come out with the additional rotation.
Lissajous is also a circuit provided in some metrology equipment.
oned4metwo yes, encoders. thats what I work with :)
Very clever Matthias you definitely have an engineers brain
Great, I love these shapes. Reminds me of Bruce Yeany’s experiments, you should check his channel out if you don’t know it yet.
I absolutely love those types of patterns.
You never fail to impress me
Suggestion - if you can get a pen that changes colour throughout the cycle, then one will be able to see the order of the lines as well as the shape. Could maybe be done with a pen in colour A dipped briefly into ink of colour B?
Also: this is great to watch, as always for your videos!
You sir, are an artist.
Friday morning, 8:00am...... Mind blown.... Might as well go back to bed. Good stuff!
Fritter Drummer or work....
I have a suggestion for a subject for a video. I am looking at purchasing a portable generator. Some of these tout themselves as 'pure sine wave' and therefore suitable for running electronic devices. Are they really 'pure sine wave'? Is this even necessary? How 'pure sine wave' is the usual household supply? A chance to play with an oscilloscope perhaps. Unfortunately I don't have the funds to provide you with a generator to play with. Is any one else interested in seeing Matthias do a video about this?
I wonder how you could also change the length of the pendulm over time. Maybe a spool unspooling slowly ???
04:11 do you feel that?
Cool.hast du mal wieder gut gemacht.gute inspiration.
Nice video as usual! Have a happy Friday!
They had this when I was little at the science museum where I grew up.
I didn't get the last sentence starting at 4:35. Can someone do a transcript for me ?
Just turn on captions for the video.
"applying the king sinusoids against each other" ? Now I'm not sure what he's talking about, I guess he meant plotting some function..
Gorgeous.. Wandel etsy shop this xmas?!
Amazing demo. I could draw these all day
Matthias you are the really best! thanks for the knowledge and fun.
You would be a great science teacher, Matthias!
I could've sworn I had this channel setup to receive notifications, but I just checked and the bell icon wasn't "ringing". Am I nuts, or is anyone else seeing the same?
youtube bug today. You and thousands others affected.
The technical name for this device is: squiggly line drawing thingy.
AWResistance
As someone with an applied mathematics degree, I can confirm this.
Those are awesome . You need to sell them .I would buy one and frame it.
Weird, this wasn’t in my subscription box...
Same here.
TH-cam is broken, a lot of videos aren't in my sub box. I only see them through notifications or being recommended on the home page. I've seen a lot of comments like this today.
This keeps happening to me too.
"Something physical is always way more fun" - Matthias Wandel
The simplest quotes are always the best ^^
That was awesome! Really cool experiment!
OK - now swing a router from that......................just kidding........!
you know he's thinking about it now though!
yeah..............expecting an off-beat experimental video on his "other" channel now.............cool!
Had the same idea!
Decayingsinusoidorouter?
Could be fun, maybe we should ask Colin Furz 😂
That drawing at 2:05 reminds me of teachers playing 90´s rock music backwards to warn you of listening to it. Dont know why.
Matthias I love your brain !!!! You are awesome.
Wow, so beautiful. Best conclusion ever!
I like the thought of a fountain pen, do you use them a lot
Thanks Matthias, could you fix the camera to the moving platform if you ever do this again?
This would make a neat science fair project.
Matthias, I admire your curiosity.
Matthias Wandel. A man of interest.
Is the travel speed of the paper to the pen constant? If it is could you use a laser to eliminate friction.
i wish i would have had teachers like you in school!
"Ah shit" :D
This man puts the "pen" into "pendulum".