But it's only in two dimensions! If you had ball-and-socket joints, you could have a 3D mechanism. You could certainly DRAW it, although MAKING it would need some care.
This is the kind of thing which would be really useful on the international space station. Something would fold up to be really small (fold up smally? small-ly?), and would unfold so that you could hang your washing out to dry. Also a radio antenna.
If you placed a pencil on a single scissor column do you get interesting spirals? Could a stencil or drafting curve of that spiral make this sort of tiling easy to draw on paper?
@@JacobPlat LOL yeah, I think so. Though I think it would skew the image it was graphing. That would be really cool if it did, but it's hard for me to visualize.
I've been thinking about making a stencil for these spiral patterns (I forget what they're called, 1:3 spirals?) It's difficult to wrap my head around but I'm not sure if it would work. You might need two to get all the points and I think it would only do one very specific image. I can't tell.
@@siredav Yes indeed! Oskar van Deventer. For a moment, I wondered if Kyle wasn't Oskar's kid or something, kind of like George and Vi Hart. But considering I can't seem to find any connection between them other than last name and similar fields of interest, it seems unlikely.
Wow! it's amazing that a bit of math can create something so mesmerizing, probably even to people with little interest in or knowledge of math. If one of these would hang outside the maths room in a school, with a servo coiling it back and forth, it would surely spark some kids interest.
I’m a trees for the forest type of guy and the concept of quadrilaterals blew my mind when I was younger and and again when learning about angles. I had big interest in how the world works, but I was so caught up in the separate concepts that I didn’t think to look at them as a whole. Would’ve made school a lot more bearable if I just thought more like that.
that mechanism reminds me of those expanding/contracting sphere toys made of a series of linear scissor-mechanisms connected at the ends; this feels like the same concept, but stretched across a 2D plane.
Quite interesting! When I was a kid, one teacher presented dynamic geometry stuff (using Cabri Geometre software), that was fascinating. Unfortunately, my school not had any of these scissors to play with, I would had loved to. Great video guys
@@henryseg I'm thinking this would be a great movable sculpture for a primary school, to get kids thinking about linkages and angles. I'd need to figure out a way to ensure that kids can't get their fingers caught in it. I guess you could put it behind plexiglass, and have external cranks to turn it.
@Amy de Buitléir That sounds like it would work. Although beware that the linkage isn't super "flat" - it would take up quite a bit of depth behind the plexiglass.
I don't suppose that constant angular velocity in the mechanism might give non-constant speed at various points, would it? Because if it did, that could make for an efficient throwing mechanism.
I mean Kyle should have Dutch ancestry with that name. But it's not a guarantee, look at Jeff Bezos he's named after his Cuban stepdad, while Jeff was born Jeff Jorgensen.
That machine is essentially what carries capillary pressures to a folding insect wing; able to deploy and furl itself from rigidity into halves of compact-beetle-wing's-case: most complexly found encasing ear-wig-wings', with a twenty-to-one ratio of surface-area deployed in flight, compared to wings'-encased; in scale, they're equivalent to properly folding a parachute for re-deployment without hands, in only seconds.
Excellent work. Can this be done in 3 dimensions, and if so, how would it be different from Dr. Hoberman's work? i.e., does your work converge into his, if you extend into 3D embodiments? To whit, are bellows (like old-fashioned camera bellows, to block light, whilst retaining the ability to make linear changes) a 3 dimensional embodiment of conventional scissors, which (of course as is well known) are roughly bound in a 2 dimensional plane? At any rate, very interesting!
In the Hoberman sphere, it is crucial that each scissor arm is bent at the pivot. In these cyclic scissors, every arm is straight. Both types of design are linkages, so of course there are similarities, and presumably one could find a sequence of designs that walks from one to the other. But no, it doesn’t seem likely to me that the Hoberman sphere is the natural extension of these cyclic scissors into 3D. (Assuming that such an extension exists at all.)
In the case of bellows and such one only needs to consider one side (as the other three are redundant). And that is nothing more than a Hoberman device which has been cut and made straight. In other words, a chain of scissors which extend when closed, retract when opened. The mechanism presented in the video on the other hand is quite novel in that the structure exhibits not expansion and contraction as two extremes, but rather an equilibrium state of "scissors half-open", flanked by a pair of oppositely-arranged collapsing states. (So a tri-state system of sorts.) Also, Hoberman-based constructions are constrained to one single degree of freedom, whereas this one appears to have two.
Nice effect! You could make a great Rivet Fan Spacer out of that - you know those things for making an evenly spaced rivet pattern on an airplane wing? Except the pattern is an ever-changing skeewumpus layout. Which makes it much better!
This could be the basis for an interesting device on a control-style battlebot if it can be made sturdy enough: a major problem hit when trying to grapple another battlebot is they can’t be counted on to stay still long enough. In this case, say, what if a pneumatic cylinder were used to open close it, and something else to latch it and keep it deployed? It requires (at least the ones shown here) a lot of moving parts, which may not work well in the context of battlebots where the opponent is trying to destroy your battlebot in many different ways, but it’d be fun to try!
@@AA-vr8ve perhaps. Of course, in BattleBots there’s a very fine line between useful parts and those you think will be of use that add to failure modes in actual battles.
Good afternoon it's 12:13 in the afternoon I'm a theoretical scientist ages 64 I'm further in my education and Applied Mathematics Plus if you two gentlemen have the time would you please look at new physics which also George he is my professor in physics if you could look at it through a different box since I see that you understand fractal and Fringe math seeing the way that you too bounce off of each other if you would look I would take 2% of whatever you could add to our research outside view would be most interesting thank you so much have a great day just an old cowboy. Thank you gentlemen.
4:36 You can make a "dancing doll" with this. Just cover with fabric, connect a plastic hand to the left and right loose vertices and a face in the top one, and let the bottom line exposed for moving.
6:00 Infinity equals zero is philosophized from the black hole equation there is so much that there isn't. Relative to speed and mass think about why momentum makes black holes orbit each other
Wait wait wait is Kyle Van Deventer related to twisty puzzle maker extraordinar (and also the guy who invented fibre optic internet) Oskar Van Deventer?
@@kylevandeventer1037 Ah darn, he's like my favorite famous engineer/artist in the world, and the sculpture in this video would totally fit in amongst his various 3D printed twisty puzzles and art pieces.
Holy shit it's a high school video club production from 20 years ago. The science is cool, but two people standing infront of a camera in a non-audio-proper room, with "Hi, I'm ...", "... and I'm ..."? Good fucking times. Subscribed.
So basically pick 2 composite numbers and mix around their factors to get the other 2 arms. If you are doing the one in the thumbnail 12,9,12,16 would work.
I learned something today! 3:45 was a great explanation of the two classes of quadrilaterals that can create self-similar tilings. Cyclic quadrilaterals are very cool! EDIT: the only two classes of quadrilaterals that can create self-similar tilings which stay self-similar when you "scissor" them (change angle)
@@henryseg oops! Right. You did explain that earlier in the video. Anyways, this also got me thinking about the possibility to create circle packings from quadrilateral graphs instead of triangle ones
On the wooden block, there is a full grey link that is held horizontally. In the middle of that link is a pivot, connected to which is a transparent-looking half-link. It is that half-link that is being driven by the motor/servo about the aforementioned pivot.
@Henry very interesting, In real life I’d be very interested to know geometrical reasoning on peacock opening it’s tail feathers…. I somehow feel it’s similar to those quadrilateral kinetics…. Also once we know that it’d be cool to know force diagrams at the pivots this would enlighten scientists hire nutrition is transferred, how surface area optimization could help in develop in solar panels etc with less weight 😮
These days it is easier to convert any "initial motion" to the desired "resulting motion" by the sensors+electronics+actuators schema (much more freedom of implementation). But anyway this could be useful somewhere. Where?
That's one hell of a back-scratcher
Your mom
Your biological mother
Your biological maternal figure
i read ball scratcher
The phrase you're looking for is "head scratcher". ;-)
Such a cool thing, might try building one of these. Also, good job embracing the goofiness Kyle!
He's a giga Chad lol
But it's only in two dimensions! If you had ball-and-socket joints, you could have a 3D mechanism. You could certainly DRAW it, although MAKING it would need some care.
This is the kind of thing which would be really useful on the international space station. Something would fold up to be really small (fold up smally? small-ly?), and would unfold so that you could hang your washing out to dry. Also a radio antenna.
@@simonmultiverse6349 that sounds super cool. I wanna see a 3D one now
Of all the things you've talked about, this one seems like it could have the most practical applications. Reminds me of those origami solar panels!
This is really interesting. It’s cool that such relatively simple original results are still out there waiting to be found.
If you placed a pencil on a single scissor column do you get interesting spirals? Could a stencil or drafting curve of that spiral make this sort of tiling easy to draw on paper?
Like a pantograph?
Ohh that’s an interesting thought. I can make an animation and come back to you
@@JacobPlat LOL yeah, I think so. Though I think it would skew the image it was graphing. That would be really cool if it did, but it's hard for me to visualize.
I've been thinking about making a stencil for these spiral patterns (I forget what they're called, 1:3 spirals?) It's difficult to wrap my head around but I'm not sure if it would work. You might need two to get all the points and I think it would only do one very specific image. I can't tell.
Yes please! @kylevanderventer please make it so with animations but then real world too!
This is the first I've heard of Kyle, but he is now officially my second-favorite van Deventer.
Is your favourite van Deventer an inventor and puzzlemaker?
@@siredav Yes indeed! Oskar van Deventer. For a moment, I wondered if Kyle wasn't Oskar's kid or something, kind of like George and Vi Hart. But considering I can't seem to find any connection between them other than last name and similar fields of interest, it seems unlikely.
I’m honored :)
I was fascinated by this sort of thing as a 13 year old playing with my Lego technic set.
Wow! it's amazing that a bit of math can create something so mesmerizing, probably even to people with little interest in or knowledge of math. If one of these would hang outside the maths room in a school, with a servo coiling it back and forth, it would surely spark some kids interest.
The laugh at the end got me! 😅 I love howuch fun you guys had! 😊 And thank u for sharing your knowledge!
You were a great Calc 2 teacher back in the day. Love the video!
Thanks for making this video. I really loved the calm, informed style and the content!
I’m a trees for the forest type of guy and the concept of quadrilaterals blew my mind when I was younger and and again when learning about angles. I had big interest in how the world works, but I was so caught up in the separate concepts that I didn’t think to look at them as a whole. Would’ve made school a lot more bearable if I just thought more like that.
Wow! Spectacular. Even children should be able to appreciate the beauty. What a way to draw students into the fun of math. Thank you.
You guys are awesome!
Very interesting and very clever, typically for you! Is Kyle van Deventer any relation to Oscar van Deventer, whom I have also seen on RUclips?
No relation as far as we know.
Perhaps only in name 😅
Thanks for asking! I had the same question 😅
that mechanism reminds me of those expanding/contracting sphere toys made of a series of linear scissor-mechanisms connected at the ends; this feels like the same concept, but stretched across a 2D plane.
Im wondering if this could be reverse driven to apply tremendous amounts of of torque or shearing potential
Anything can be backdriven if you manage to make it stiff enough.
@@tissuepaper9962 that's what she said!
Love your videos henry, but I kept getting distracted by the thought Kyle's gonna steal my wife if I'm not careful
I saw the start, and was like .... this means its cyclic, right? It was fun that my intuition was right, and reading the proof was even more so!
Brilliantly amusing video.. good work there..
That is very cool!
This really looks like it could have some weird folding real-life applications! Also, good video
Quite interesting! When I was a kid, one teacher presented dynamic geometry stuff (using Cabri Geometre software), that was fascinating. Unfortunately, my school not had any of these scissors to play with, I would had loved to.
Great video guys
I'm beginning to disagree with Leibniz. I think a great new toy is even better then a great new puzzle, because it is ever fruitful. Thanks!
It would be interesting to see an animation where you've drawn all the circumscribing circles
This is awesome... Best thing I ever seen
Is there a 3d version of this theory?
I love how genuinely excited they seem about presenting this thing they've been working on. It's infectious.
this channel is my secluded happy place. thank you
Smart geometry nerds having fun! I love it! :)
Is there a way to find this limit point? Like a ruler and compass construction?
Good question! I’m not sure off the top of my head.
This seems like it could work for an ultra thin exoskeleton. Would be cool to see a wearable version!
It's interesting you say that, because I had a similar idea. I've had this idea for nearly 6 years, it's cool to see it visualize though.
A spider web
I *need* these. The perfect fidget toy for a mathematician.
Link in the description for instructions to 3D print and assemble one!
@@henryseg I'm thinking this would be a great movable sculpture for a primary school, to get kids thinking about linkages and angles. I'd need to figure out a way to ensure that kids can't get their fingers caught in it. I guess you could put it behind plexiglass, and have external cranks to turn it.
@Amy de Buitléir That sounds like it would work. Although beware that the linkage isn't super "flat" - it would take up quite a bit of depth behind the plexiglass.
It's interesting that my young self thought about this and imagined how it would work.
I think this was close to my imagination
The motion is so smooth, I love it
very interesting!
There’s actually a fairly popular(as of now) theory in astrological physics that says our universe may be this shape but in 3d
May be good for deploying light sails for space travel.
I didn't understand a thing but that's so cool! 😅
I don't suppose that constant angular velocity in the mechanism might give non-constant speed at various points, would it? Because if it did, that could make for an efficient throwing mechanism.
You're definitely one of my favorite RUclips channels. I watch your content and feel like I've finally found my people.
Oh YES to more of Kyle please.
Head to toe and scissoring welcome.
Would Kyle happen to be related to puzzle designer Oskar Van Deventer?
No relation as far as we know.
I was wondering the same thing
I mean Kyle should have Dutch ancestry with that name. But it's not a guarantee, look at Jeff Bezos he's named after his Cuban stepdad, while Jeff was born Jeff Jorgensen.
"Before we can answer this, let's talk about self-similar quadrilateral tilings."
Woah, woah, woah! Let's not get ahead of ourselves...
Is Kyle Oskar VanDeventer's son?
No haha, the relation is only by name as far as I know
@@kylevandeventer1037 wowga it's kyle
That machine is essentially what carries capillary pressures to a folding insect wing; able to deploy and furl itself from rigidity into halves of compact-beetle-wing's-case: most complexly found encasing ear-wig-wings', with a twenty-to-one ratio of surface-area deployed in flight, compared to wings'-encased; in scale, they're equivalent to properly folding a parachute for re-deployment without hands, in only seconds.
Something Theo Jansen could use
Can you extend this into three dimensions?
I'm glad 3D printing has evolved to make building these a possibility
So the RUclips algorithm thought I'd find this vídeo interesting. And it is right. I love it! Subscribed :)
Excellent work. Can this be done in 3 dimensions, and if so, how would it be different from Dr. Hoberman's work? i.e., does your work converge into his, if you extend into 3D embodiments?
To whit, are bellows (like old-fashioned camera bellows, to block light, whilst retaining the ability to make linear changes) a 3 dimensional embodiment of conventional scissors, which (of course as is well known) are roughly bound in a 2 dimensional plane?
At any rate, very interesting!
In the Hoberman sphere, it is crucial that each scissor arm is bent at the pivot. In these cyclic scissors, every arm is straight. Both types of design are linkages, so of course there are similarities, and presumably one could find a sequence of designs that walks from one to the other. But no, it doesn’t seem likely to me that the Hoberman sphere is the natural extension of these cyclic scissors into 3D. (Assuming that such an extension exists at all.)
In the case of bellows and such one only needs to consider one side (as the other three are redundant). And that is nothing more than a Hoberman device which has been cut and made straight. In other words, a chain of scissors which extend when closed, retract when opened.
The mechanism presented in the video on the other hand is quite novel in that the structure exhibits not expansion and contraction as two extremes, but rather an equilibrium state of "scissors half-open", flanked by a pair of oppositely-arranged collapsing states. (So a tri-state system of sorts.)
Also, Hoberman-based constructions are constrained to one single degree of freedom, whereas this one appears to have two.
that is pretty fucking cool!!
No idea why RUclips recommended this but I watched it. More videos bending scissors please
Jerma's long lost brother
I think these have application in spacecraft design specifically solar panels and other deployable‘s.
I pinched my fingers just by watching the video.
Kyle van Deventer, are you the son of Oscar van Deventer the puzzle expert
"Arbitrary scissors"
makes Albert Einstein diagram
Amazing. This helps my understanding of real projective limits.
This makes me think of Fourier transforms
This is actually really interesting! Thanks for sharing
I would like to make a door like that 😊👍
Super Cool
terrific
no doubt someone will find applications
Nice effect! You could make a great Rivet Fan Spacer out of that - you know those things for making an evenly spaced rivet pattern on an airplane wing? Except the pattern is an ever-changing skeewumpus layout. Which makes it much better!
This could be the basis for an interesting device on a control-style battlebot if it can be made sturdy enough: a major problem hit when trying to grapple another battlebot is they can’t be counted on to stay still long enough. In this case, say, what if a pneumatic cylinder were used to open close it, and something else to latch it and keep it deployed?
It requires (at least the ones shown here) a lot of moving parts, which may not work well in the context of battlebots where the opponent is trying to destroy your battlebot in many different ways, but it’d be fun to try!
Perhaps if some kind of joint covering scale were to be used to protect it?
@@AA-vr8ve perhaps. Of course, in BattleBots there’s a very fine line between useful parts and those you think will be of use that add to failure modes in actual battles.
amazing. looking foward to try this mindset on my machines
Sick dude
Cube sat origami implementation here we come!
Good job Kyle!
thanks :)
Good afternoon it's 12:13 in the afternoon I'm a theoretical scientist ages 64 I'm further in my education and Applied Mathematics Plus if you two gentlemen have the time would you please look at new physics which also George he is my professor in physics if you could look at it through a different box since I see that you understand fractal and Fringe math seeing the way that you too bounce off of each other if you would look I would take 2% of whatever you could add to our research outside view would be most interesting thank you so much have a great day just an old cowboy. Thank you gentlemen.
I wonder what kinds of applications this has
4:36 You can make a "dancing doll" with this. Just cover with fabric, connect a plastic hand to the left and right loose vertices and a face in the top one, and let the bottom line exposed for moving.
now make one end sharp
i wanna cut paper with it
Thanks for sharing and for having fun
Is he related to Oskar? That would explain the knack with mechanical ingenuity
No relation as far as we are aware.
After watching one of your videos, I always end up at Shadertoy (wishing I was as good with math as you...)
Why do you call them "scissors"? They don't look very optimal for cutting 🤔😅
Two sticks with one hinge point
1:37 This is called a scissor lift.
6:00 Infinity equals zero is philosophized from the black hole equation there is so much that there isn't. Relative to speed and mass think about why momentum makes black holes orbit each other
very cool! I'm wondering how the mechanical advantage shown here 1:17 can be utilized and optimized...
I love your kinetic cyclic scissors!
Where do I put my paper to cut it?
Wait wait wait is Kyle Van Deventer related to twisty puzzle maker extraordinar (and also the guy who invented fibre optic internet) Oskar Van Deventer?
Hehe only in name
@@kylevandeventer1037 Ah darn, he's like my favorite famous engineer/artist in the world, and the sculpture in this video would totally fit in amongst his various 3D printed twisty puzzles and art pieces.
HENRY! I love your shirt! Where did you get it?
www.neatoshop.com/artist/Henry-Segerman
Jerma 2.5
ayo new solar panel deployment just dropped
Help us convince NASA 😅
@@kylevandeventer1037 will do boss 👍
i love this channel
What if the scissor arms were not straight?
Holy shit it's a high school video club production from 20 years ago. The science is cool, but two people standing infront of a camera in a non-audio-proper room, with "Hi, I'm ...", "... and I'm ..."? Good fucking times. Subscribed.
Now do a video on kinetic cyclic rocks and papers!
XD
So basically pick 2 composite numbers and mix around their factors to get the other 2 arms. If you are doing the one in the thumbnail 12,9,12,16 would work.
Was it just me or did you see something to do with the Fibonacci sequence in there?
I'm not an expert but I don't think this is the Fibonacci sequence.
@@VagabondTE I'm just talking about how one of the ones near the end was a spiral, it almost looked like it followed the Fibonacci sequence.
I learned something today! 3:45 was a great explanation of the two classes of quadrilaterals that can create self-similar tilings. Cyclic quadrilaterals are very cool!
EDIT: the only two classes of quadrilaterals that can create self-similar tilings which stay self-similar when you "scissor" them (change angle)
Any quadrilateral can create a self-similar tiling. The parallelograms and cyclic quadrilaterals are the only ones whose scissor grids can move.
@@henryseg oops! Right. You did explain that earlier in the video. Anyways, this also got me thinking about the possibility to create circle packings from quadrilateral graphs instead of triangle ones
The future of space solar panel 😍😘
Can you tell us more about the mechanized version at the start of the video? Which point is driven by a motor or servo?
On the wooden block, there is a full grey link that is held horizontally. In the middle of that link is a pivot, connected to which is a transparent-looking half-link. It is that half-link that is being driven by the motor/servo about the aforementioned pivot.
RUclips recommendation algorithms sure are weird, though I can't complain, this was very interesting!
Would probably be pretty useful for space exploration deployables. The space it would save would be quite important
@Henry very interesting, In real life I’d be very interested to know geometrical reasoning on peacock opening it’s tail feathers…. I somehow feel it’s similar to those quadrilateral kinetics…. Also once we know that it’d be cool to know force diagrams at the pivots this would enlighten scientists hire nutrition is transferred, how surface area optimization could help in develop in solar panels etc with less weight 😮
These days it is easier to convert any "initial motion" to the desired "resulting motion" by the sensors+electronics+actuators schema (much more freedom of implementation). But anyway this could be useful somewhere. Where?
Ok, but what are/can be the real applications of this features? (Other than educational and for a RUclips video ;-)