Kinetic cyclic scissors
ฝัง
- เผยแพร่เมื่อ 4 ก.ค. 2024
- Joint work with Kyle VanDeventer.
Read our paper: archive.bridgesmathart.org/20...
Instructions and files for printing and making one of these grids at www.printables.com/model/1779...
This research was partially supported by the Koslow Undergraduate Mathematics Research Experience Scholarship.
00:00 Introduction
00:19 Self-similar quadrilateral tilings
00:45 Scissor grids
00:55 Can the grid always move?
01:44 What's going on in general
04:06 Cyclic quadrilaterals
04:36 Example: 6/12/8/9
05:08 Example: 1-1 path
06:16 Example: 1-2 path
07:02 Outro
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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!
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.
I love how genuinely excited they seem about presenting this thing they've been working on. It's infectious.
Wow! Spectacular. Even children should be able to appreciate the beauty. What a way to draw students into the fun of math. Thank you.
this channel is my secluded happy place. thank you
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 motion is so smooth, I love it
The laugh at the end got me! 😅 I love howuch fun you guys had! 😊 And thank u for sharing your knowledge!
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 :)
You're definitely one of my favorite TH-cam channels. I watch your content and feel like I've finally found my people.
This really looks like it could have some weird folding real-life applications! Also, good video
Thanks for making this video. I really loved the calm, informed style and the content!
It would be interesting to see an animation where you've drawn all the circumscribing circles
Fantastic. Pleasant, clear, and sincere presentation. Can't wait to print one
Thanks for sharing and for having fun
You were a great Calc 2 teacher back in the day. Love the video!
You guys are really creative and ingenious.
You guys are awesome!
Thank you for taking a complicated concept and showing both a physical, graphical, and mathematical example of this concept
This is actually really interesting! Thanks for sharing
Amazing. This helps my understanding of real projective limits.
I absolutely love this kind of stuff… good job guys
I was fascinated by this sort of thing as a 13 year old playing with my Lego technic set.
Brilliantly amusing video.. good work there..
I love your kinetic cyclic scissors!
amazing. looking foward to try this mindset on my machines
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.
I love linkages and so don’t understand them, making this video a joy. Cheers!
This is awesome... Best thing I ever seen
great video. thanks for making it. thanks for sharing the knowledge
Awesome knowledge to learn, thank you.
Very cool work guys!!!
Good job Kyle!
thanks :)
So, that's how I solve my problem !!
Good work out of you !!
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
Simple yet profound, just the way I like my mathematics
That is very cool!
Great Video!
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.
It feels cool to be seeing something that will get recommended to people in a few years less than a week after being posted.
So the TH-cam algorithm thought I'd find this vídeo interesting. And it is right. I love it! Subscribed :)
i love this channel
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
WHOOPS more not not
Beautiful
Oh YES to more of Kyle please.
Head to toe and scissoring welcome.
terrific
no doubt someone will find applications
Amazing!!
flippen amazing
tnx guys
Very cool!
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
very interesting!
super cool!!
No idea why TH-cam recommended this but I watched it. More videos bending scissors please
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!
So cool👍👍👍👍👍
Smart geometry nerds having fun! I love it! :)
What a wonderfull channel
Very interesting and very clever, typically for you! Is Kyle van Deventer any relation to Oscar van Deventer, whom I have also seen on TH-cam?
No relation as far as we know.
Perhaps only in name 😅
Thanks for asking! I had the same question 😅
*[Therapist]:* “Did you experience any childhood trauma?”
*[Me]:* 0:19
very cool
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.
That’s hypnotic…
Sick dude
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!
Super Cool
It's interesting that my young self thought about this and imagined how it would work.
I think this was close to my imagination
That be a really good jig holder.
TH-cam recommendation algorithms sure are weird, though I can't complain, this was very interesting!
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.
I'm glad 3D printing has evolved to make building these a possibility
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!
This reminds me of some fractals doing these symmetries.
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.
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
That would make one hell of an annular gate style door...
Love your videos henry, but I kept getting distracted by the thought Kyle's gonna steal my wife if I'm not careful
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!
that is pretty fucking cool!!
Is there a 3d version of this theory?
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.
1:44 thank you scoobdy doo shaggy for your fantastic explanation
May be good for deploying light sails for space travel.
very cool! I'm wondering how the mechanical advantage shown here 1:17 can be utilized and optimized...
Would probably be pretty useful for space exploration deployables. The space it would save would be quite important
I'd love to see how this compares to the parallelogram scissors
I think parallelogram scissors would tend towards forming a straight line at the limits - no interesting curves.
I didn't understand a thing but that's so cool! 😅
Jerma's long lost brother
Now do a video on kinetic cyclic rocks and papers!
XD
Cube sat origami implementation here we come!
Ya quiero construir esto.
1:45 dudes lookin like he's about to ask for my strongest potions
❤
I would like to make a door like that 😊👍
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 think these have application in spacecraft design specifically solar panels and other deployable‘s.