The phrase you're looking for is "head scratcher". ;-)
@magnus0017
2 жыл бұрын
Such a cool thing, might try building one of these. Also, good job embracing the goofiness Kyle!
@powerbanger69
2 жыл бұрын
He's a giga Chad lol
@simonmultiverse6349
2 жыл бұрын
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.
@simonmultiverse6349
2 жыл бұрын
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.
@mihailmilev9909
Жыл бұрын
@@simonmultiverse6349 that sounds super cool. I wanna see a 3D one now
@williamrutherford553
2 жыл бұрын
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!
@VagabondTE
2 жыл бұрын
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
2 жыл бұрын
Like a pantograph?
@kylevandeventer1037
2 жыл бұрын
Ohh that’s an interesting thought. I can make an animation and come back to you
@VagabondTE
2 жыл бұрын
@@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.
@VagabondTE
2 жыл бұрын
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.
@lumotroph
2 жыл бұрын
Yes please! @kylevanderventer please make it so with animations but then real world too!
@Rubrickety
2 жыл бұрын
This is really interesting. It’s cool that such relatively simple original results are still out there waiting to be found.
@meljXD2
2 жыл бұрын
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.
@morkovija
2 жыл бұрын
this channel is my secluded happy place. thank you
@AdrianHereToHelp
Жыл бұрын
I love how genuinely excited they seem about presenting this thing they've been working on. It's infectious.
@edwardlulofs444
2 жыл бұрын
Wow! Spectacular. Even children should be able to appreciate the beauty. What a way to draw students into the fun of math. Thank you.
@moontiger6393
2 жыл бұрын
The motion is so smooth, I love it
@hollt693
2 жыл бұрын
This is the first I've heard of Kyle, but he is now officially my second-favorite van Deventer.
@siredav
2 жыл бұрын
Is your favourite van Deventer an inventor and puzzlemaker?
@hollt693
2 жыл бұрын
@@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.
@kylevandeventer1037
2 жыл бұрын
I’m honored :)
@r3n5h0r3
2 жыл бұрын
You're definitely one of my favorite KZitem channels. I watch your content and feel like I've finally found my people.
@melissasabie722
Жыл бұрын
The laugh at the end got me! 😅 I love howuch fun you guys had! 😊 And thank u for sharing your knowledge!
@THarSul
Жыл бұрын
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.
@StainlessHelena
2 жыл бұрын
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.
@sambillups8691
2 жыл бұрын
You were a great Calc 2 teacher back in the day. Love the video!
@lutune
Жыл бұрын
Thank you for taking a complicated concept and showing both a physical, graphical, and mathematical example of this concept
@ShaunakDe
2 жыл бұрын
Thanks for making this video. I really loved the calm, informed style and the content!
@DugGLe55FuR
2 жыл бұрын
Thanks for sharing and for having fun
@carly09et
2 жыл бұрын
Amazing. This helps my understanding of real projective limits.
@LiamHighducheck
2 жыл бұрын
It feels cool to be seeing something that will get recommended to people in a few years less than a week after being posted.
@Life_42
2 жыл бұрын
You guys are awesome!
@J_psi0
2 жыл бұрын
This is actually really interesting! Thanks for sharing
@Th3Curs3dChild
2 жыл бұрын
This really looks like it could have some weird folding real-life applications! Also, good video
@michaeldeierhoi4096
Жыл бұрын
You guys are really creative and ingenious.
@ryan65475
2 жыл бұрын
Good job Kyle!
@kylevandeventer1037
2 жыл бұрын
thanks :)
@staceyhart9746
Жыл бұрын
I love your kinetic cyclic scissors!
@samaeltheangelofdeath
Жыл бұрын
That's smart to speed the video up, lesser steps, not info. Thank you for teaching, it means a lot to learn. Reading is too many steps, so just listening and watching is very enlightening
@samaeltheangelofdeath
Жыл бұрын
WHOOPS more not not
@goodluck5642
2 жыл бұрын
I love linkages and so don’t understand them, making this video a joy. Cheers!
@AK56fire
2 жыл бұрын
Brilliantly amusing video.. good work there..
@columbus8myhw
2 жыл бұрын
It would be interesting to see an animation where you've drawn all the circumscribing circles
@joanbennettnyc
Жыл бұрын
Oh YES to more of Kyle please. Head to toe and scissoring welcome.
@Splarkszter
2 жыл бұрын
amazing. looking foward to try this mindset on my machines
@zh84
2 жыл бұрын
Very interesting and very clever, typically for you! Is Kyle van Deventer any relation to Oscar van Deventer, whom I have also seen on KZitem?
@henryseg
2 жыл бұрын
No relation as far as we know.
@kylevandeventer1037
2 жыл бұрын
Perhaps only in name 😅
@siredav
2 жыл бұрын
Thanks for asking! I had the same question 😅
@AnkhAnanku
Жыл бұрын
I was fascinated by this sort of thing as a 13 year old playing with my Lego technic set.
@ThevenimX
2 жыл бұрын
Im wondering if this could be reverse driven to apply tremendous amounts of of torque or shearing potential
@tissuepaper9962
2 жыл бұрын
Anything can be backdriven if you manage to make it stiff enough.
@brandonkeeber3799
2 жыл бұрын
@@tissuepaper9962 that's what she said!
@aajpeter
2 жыл бұрын
Fantastic. Pleasant, clear, and sincere presentation. Can't wait to print one
@srgyc
2 жыл бұрын
This seems like it could work for an ultra thin exoskeleton. Would be cool to see a wearable version!
@Unmannedair
2 жыл бұрын
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.
@brendawilliams8062
Жыл бұрын
A spider web
@manoelguidialvares6903
Жыл бұрын
So the KZitem algorithm thought I'd find this vídeo interesting. And it is right. I love it! Subscribed :)
@blacksmith67
Жыл бұрын
I absolutely love this kind of stuff… good job guys
@proberush
2 жыл бұрын
Simple yet profound, just the way I like my mathematics
@appu5545
2 жыл бұрын
This is awesome... Best thing I ever seen
@Dreg_s
2 жыл бұрын
No idea why KZitem recommended this but I watched it. More videos bending scissors please
@noelhutchins7366
2 жыл бұрын
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.
@decodedbunny101
2 жыл бұрын
It's interesting that my young self thought about this and imagined how it would work. I think this was close to my imagination
@ericheydemann9556
Жыл бұрын
So, that's how I solve my problem !! Good work out of you !!
@dustinsysko
2 жыл бұрын
Thank you so much for sharing your work in such a variety of forms we can engage with! Video with demonstration, a paper, and printable models. This kind of knowledge transfer really helps all of us learn, and teach others.
@filiagees
Жыл бұрын
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
@HaveANceDay
2 жыл бұрын
Is there a 3d version of this theory?
@fibbooo1123
2 жыл бұрын
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!
@sachs6
2 жыл бұрын
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!
@Let_Toons
2 жыл бұрын
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.
@chasemarangu
2 жыл бұрын
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
2 жыл бұрын
Any quadrilateral can create a self-similar tiling. The parallelograms and cyclic quadrilaterals are the only ones whose scissor grids can move.
@chasemarangu
2 жыл бұрын
@@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
@alexismiller2349
2 жыл бұрын
Is there a way to find this limit point? Like a ruler and compass construction?
@henryseg
2 жыл бұрын
Good question! I’m not sure off the top of my head.
@NonTwinBrothers
2 жыл бұрын
Love your videos henry, but I kept getting distracted by the thought Kyle's gonna steal my wife if I'm not careful
@thiagozequim
2 жыл бұрын
great video. thanks for making it. thanks for sharing the knowledge
@MrFranklitalien
2 жыл бұрын
terrific no doubt someone will find applications
@clerk427
2 жыл бұрын
KZitem recommendation algorithms sure are weird, though I can't complain, this was very interesting!
@dysphoricpeach
2 жыл бұрын
i love this channel
@pamdemonia
2 жыл бұрын
That is very cool!
@Felipemelazzi
2 жыл бұрын
I'm glad 3D printing has evolved to make building these a possibility
@joshuakliveca
2 жыл бұрын
Very cool work guys!!!
@ottav4
2 жыл бұрын
Awesome knowledge to learn, thank you.
@mitchskinner174
2 жыл бұрын
Can you extend this into three dimensions?
@freesk8
Жыл бұрын
Smart geometry nerds having fun! I love it! :)
@sisyphuscranerigging7792
Жыл бұрын
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!
@strictnonconformist7369
2 жыл бұрын
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
2 жыл бұрын
Perhaps if some kind of joint covering scale were to be used to protect it?
@strictnonconformist7369
2 жыл бұрын
@@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.
@PeterBarnes2
2 жыл бұрын
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.
@l8dawn
2 жыл бұрын
very cool! I'm wondering how the mechanical advantage shown here 1:17 can be utilized and optimized...
@UriclubTK
2 жыл бұрын
1:44 thank you scoobdy doo shaggy for your fantastic explanation
@amydebuitleir
2 жыл бұрын
I *need* these. The perfect fidget toy for a mathematician.
@henryseg
2 жыл бұрын
Link in the description for instructions to 3D print and assemble one!
@amydebuitleir
2 жыл бұрын
@@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.
@henryseg
2 жыл бұрын
@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.
@Trump_y_Gore_Won
2 жыл бұрын
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!
@henryseg
2 жыл бұрын
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.)
@FranzBiscuit
Жыл бұрын
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.
@rogerwagner7958
2 жыл бұрын
Can you tell us more about the mechanized version at the start of the video? Which point is driven by a motor or servo?
@involute2831
2 жыл бұрын
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.
@atomicsmith
2 жыл бұрын
Great Video!
@XoIoRouge
Жыл бұрын
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.
@sendformilo620
2 жыл бұрын
very interesting!
@simonstrandgaard5503
2 жыл бұрын
Beautiful
@murmurmerman
Жыл бұрын
Could you add some three-dimensional angularity to each vertex to make a scissor grid that transitions from a flat configuration to a cone shape? Seems like that might be an interesting armature for a tent-like structure...
@eliyasne9695
2 жыл бұрын
What a wonderfull channel
@mooncatcher_
2 жыл бұрын
May be good for deploying light sails for space travel.
@holypho6352
2 жыл бұрын
Now do a video on kinetic cyclic rocks and papers!
@kylevandeventer1037
2 жыл бұрын
XD
@voetenlikkerijnl2222
Жыл бұрын
Where do I put my paper to cut it?
@Kerivity
2 жыл бұрын
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
2 жыл бұрын
Hehe only in name
@Kerivity
2 жыл бұрын
@@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.
@guillermogil3391
2 жыл бұрын
Amazing!!
@nerdiconium1365
2 жыл бұрын
Would Kyle happen to be related to puzzle designer Oskar Van Deventer?
@henryseg
2 жыл бұрын
No relation as far as we know.
@Jellylamps
2 жыл бұрын
I was wondering the same thing
@livedandletdie
2 жыл бұрын
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.
@OwenWithAHammer
2 жыл бұрын
Very cool!
@iestynne
2 жыл бұрын
After watching one of your videos, I always end up at Shadertoy (wishing I was as good with math as you...)
@brandonyoung-kemkes1128
2 жыл бұрын
I think these have application in spacecraft design specifically solar panels and other deployable‘s.
@JulienDavid2024
5 ай бұрын
That’s hypnotic…
@maxnjax7294
Жыл бұрын
flippen amazing tnx guys
@iestynne
2 жыл бұрын
You showed (1,1) and (1,2) patterns here... are all such natural number vectors possible? If not, what does the set of valid vectors look like? Is there a 3D equivalent, or is this one of those things that only works in 2D?
@henryseg
2 жыл бұрын
I don’t recall exactly how it goes, but I think you can get whatever you want as scaling factors as you move in the two directions, so you can choose scaling factors that have whatever ratio you want. 3D is a good question, I don’t know.
@leif1075
2 жыл бұрын
@@henryseg Thank you for sharing Mr. Segerman. I hope yiu can respond to my other message or email when you can. Thanks very much.
@arnycsendes6652
Жыл бұрын
This reminds me of some fractals doing these symmetries.
@Unmannedair
2 жыл бұрын
That would make one hell of an annular gate style door...
@Berkana
Жыл бұрын
Are these linkages good for anything practical?
@pyrokinetikrlz
2 жыл бұрын
that is pretty fucking cool!!
@guystriegel5372
Жыл бұрын
Does this physical change remain in one plane or extend or collapse in 3d?
@auri1075
Жыл бұрын
Would probably be pretty useful for space exploration deployables. The space it would save would be quite important
@burkhardstackelberg1203
2 жыл бұрын
Looks like fun to play with. Has it a practical usage? Maybe, it will be part of a space deployment system of some sort...
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