The phrase you're looking for is "head scratcher". ;-)
@magnus00172 жыл бұрын
Such a cool thing, might try building one of these. Also, good job embracing the goofiness Kyle!
@powerbanger692 жыл бұрын
He's a giga Chad lol
@simonmultiverse63492 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.
@simonmultiverse63492 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
@williamrutherford5532 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!
@Rubrickety2 жыл бұрын
This is really interesting. It’s cool that such relatively simple original results are still out there waiting to be found.
@meljXD22 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.
@VagabondTE2 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?
@JacobPlat2 жыл бұрын
Like a pantograph?
@kylevandeventer10372 жыл бұрын
Ohh that’s an interesting thought. I can make an animation and come back to you
@VagabondTE2 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.
@VagabondTE2 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.
@lumotroph2 жыл бұрын
Yes please! @kylevanderventer please make it so with animations but then real world too!
@morkovija2 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.
@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.
@hollt6932 жыл бұрын
This is the first I've heard of Kyle, but he is now officially my second-favorite van Deventer.
@siredav2 жыл бұрын
Is your favourite van Deventer an inventor and puzzlemaker?
@hollt6932 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.
@kylevandeventer10372 жыл бұрын
I’m honored :)
@edwardlulofs4442 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.
@AnkhAnanku Жыл бұрын
I was fascinated by this sort of thing as a 13 year old playing with my Lego technic set.
@moontiger63932 жыл бұрын
The motion is so smooth, I love it
@DanaTheLateBloomingFruitLoop2 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.
@r3n5h0r32 жыл бұрын
You're definitely one of my favorite KZfaq 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!
@noelhutchins7366 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.
@Th3Curs3dChild2 жыл бұрын
This really looks like it could have some weird folding real-life applications! Also, good video
@DugGLe55FuR2 жыл бұрын
Thanks for sharing and for having fun
@sambillups86912 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
@columbus8myhw2 жыл бұрын
It would be interesting to see an animation where you've drawn all the circumscribing circles
@staceyhart974611 ай бұрын
I love your kinetic cyclic scissors!
@ryan654752 жыл бұрын
Good job Kyle!
@kylevandeventer10372 жыл бұрын
thanks :)
@Life_422 жыл бұрын
You guys are awesome!
@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
@srgyc2 жыл бұрын
This seems like it could work for an ultra thin exoskeleton. Would be cool to see a wearable version!
@Unmannedair2 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
@ShaunakDe2 жыл бұрын
Thanks for making this video. I really loved the calm, informed style and the content!
@joanbennettnyc Жыл бұрын
Oh YES to more of Kyle please. Head to toe and scissoring welcome.
@michaeldeierhoi4096 Жыл бұрын
You guys are really creative and ingenious.
@manoelguidialvares6903 Жыл бұрын
So the KZfaq algorithm thought I'd find this vídeo interesting. And it is right. I love it! Subscribed :)
@LiamHighducheck2 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.
@carly09et2 жыл бұрын
Amazing. This helps my understanding of real projective limits.
@Dreg_s2 жыл бұрын
No idea why KZfaq recommended this but I watched it. More videos bending scissors please
@J_psi02 жыл бұрын
This is actually really interesting! Thanks for sharing
@goodluck56422 жыл бұрын
I love linkages and so don’t understand them, making this video a joy. Cheers!
@Let_Toons2 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.
@decodedbunny1012 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
@clerk4272 жыл бұрын
KZfaq recommendation algorithms sure are weird, though I can't complain, this was very interesting!
@fibbooo11232 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!
@Splarkszter2 жыл бұрын
amazing. looking foward to try this mindset on my machines
@zh842 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 KZfaq?
@henryseg2 жыл бұрын
No relation as far as we know.
@kylevandeventer10372 жыл бұрын
Perhaps only in name 😅
@siredav2 жыл бұрын
Thanks for asking! I had the same question 😅
@chasemarangu2 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)
@henryseg2 жыл бұрын
Any quadrilateral can create a self-similar tiling. The parallelograms and cyclic quadrilaterals are the only ones whose scissor grids can move.
@chasemarangu2 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
@Felipemelazzi2 жыл бұрын
I'm glad 3D printing has evolved to make building these a possibility
@pamdemonia2 жыл бұрын
That is very cool!
@aajpeter2 жыл бұрын
Fantastic. Pleasant, clear, and sincere presentation. Can't wait to print one
@AK56fire2 жыл бұрын
Brilliantly amusing video.. good work there..
@dustinsysko2 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.
@proberush2 жыл бұрын
Simple yet profound, just the way I like my mathematics
@Intrafacial86 Жыл бұрын
*[Therapist]:* “Did you experience any childhood trauma?” *[Me]:* 0:19
@UriclubTK2 жыл бұрын
1:44 thank you scoobdy doo shaggy for your fantastic explanation
@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
@MrFranklitalien Жыл бұрын
terrific no doubt someone will find applications
@appu55452 жыл бұрын
This is awesome... Best thing I ever seen
@strictnonconformist73692 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-vr8ve2 жыл бұрын
Perhaps if some kind of joint covering scale were to be used to protect it?
@strictnonconformist73692 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.
@dysphoricpeach2 жыл бұрын
i love this channel
@ThevenimX2 жыл бұрын
Im wondering if this could be reverse driven to apply tremendous amounts of of torque or shearing potential
@tissuepaper99622 жыл бұрын
Anything can be backdriven if you manage to make it stiff enough.
@brandonkeeber37992 жыл бұрын
@@tissuepaper9962 that's what she said!
@blacksmith67 Жыл бұрын
I absolutely love this kind of stuff… good job guys
@freesk8 Жыл бұрын
Smart geometry nerds having fun! I love it! :)
@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.
@sachs62 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!
@amydebuitleir2 жыл бұрын
I *need* these. The perfect fidget toy for a mathematician.
@henryseg2 жыл бұрын
Link in the description for instructions to 3D print and assemble one!
@amydebuitleir2 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.
@henryseg2 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.
@ericheydemann9556 Жыл бұрын
So, that's how I solve my problem !! Good work out of you !!
@thiagozequim2 жыл бұрын
great video. thanks for making it. thanks for sharing the knowledge
@joshuakliveca2 жыл бұрын
Very cool work guys!!!
@Unmannedair2 жыл бұрын
That would make one hell of an annular gate style door...
@AA-kt3qm Жыл бұрын
Jerma's long lost brother
@ottav42 жыл бұрын
Awesome knowledge to learn, thank you.
@alvarobyrne2 жыл бұрын
note to self: cyclic quadrilateral: one for which its vertices lay on a circle
@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!
@dogdrovenorth2 жыл бұрын
"Before we can answer this, let's talk about self-similar quadrilateral tilings." Woah, woah, woah! Let's not get ahead of ourselves...
@raosthegray7090 Жыл бұрын
There’s actually a fairly popular(as of now) theory in astrological physics that says our universe may be this shape but in 3d
@atomicsmith2 жыл бұрын
Great Video!
@squid17122 жыл бұрын
1:45 dudes lookin like he's about to ask for my strongest potions
@auri1075 Жыл бұрын
Would probably be pretty useful for space exploration deployables. The space it would save would be quite important
@householdemail1305 Жыл бұрын
That be a really good jig holder.
@manyworldsin12 жыл бұрын
Cube sat origami implementation here we come!
@OwenWithAHammer2 жыл бұрын
Very cool!
@simonstrandgaard55032 жыл бұрын
Beautiful
@NonTwinBrothers2 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
@JulienDavid20243 ай бұрын
That’s hypnotic…
@PeterBarnes22 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.
@arnycsendes6652 Жыл бұрын
This reminds me of some fractals doing these symmetries.
@pyrokinetikrlz2 жыл бұрын
that is pretty fucking cool!!
@guillermogil33912 жыл бұрын
Amazing!!
@r3n_Nakamura2 жыл бұрын
My dude looks like a supervillain but as it turns out, he's an innocent nerd.
@holypho63522 жыл бұрын
Now do a video on kinetic cyclic rocks and papers!
@kylevandeventer10372 жыл бұрын
XD
@alexismiller23492 жыл бұрын
Is there a way to find this limit point? Like a ruler and compass construction?
@henryseg2 жыл бұрын
Good question! I’m not sure off the top of my head.
@kevinbruce5981 Жыл бұрын
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.
@HaveANceDay2 жыл бұрын
Is there a 3d version of this theory?
@eliyasne96952 жыл бұрын
What a wonderfull channel
@Trump_y_Gore_Won2 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!
@henryseg2 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.
@brandonyoung-kemkes11282 жыл бұрын
I think these have application in spacecraft design specifically solar panels and other deployable‘s.
@RexTorres Жыл бұрын
I didn't understand a thing but that's so cool! 😅
@sendformilo6202 жыл бұрын
very interesting!
@pepurrmint2 жыл бұрын
super cool!!
@Scardpelt Жыл бұрын
I wonder how close spiders get to mathematical perfection
@iestynne2 жыл бұрын
After watching one of your videos, I always end up at Shadertoy (wishing I was as good with math as you...)
@mooncatcher_2 жыл бұрын
May be good for deploying light sails for space travel.