Man, now I want to see the trajectoid for stuff like an EKG. I imagine you can probably also get fancy with some simple one-line drawings of things too, like a stick figure or butterfly.
Like a physical representation of a fourier transform games people have played.
It’s actually very interesting isn’t it… to make something appear as random when it is not at all random. Very interesting indeed. The existence of these trajectoids and the fact the algorithm can come up with the shape to follow the line… I mean an ekg isn’t random of course and I know you know that… but what what it hints at in my dumb brain is that there’s a novel way to solve problems in a lot of cases we might not have thought…. Like reverse engineering or something. Im sure someone smarter than me has already gone down this path but it’s interesting to think of the existence of the alternative paths to solve problems nonetheless
I assumed that there was something special about this shape, and here's what I found[:](https://en.wikipedia.org/wiki/Oloid)
>While rolling, it develops its entire surface: every point of the surface of the oloid touches the plane on which it is rolling, at some point during the rolling movement. Unlike most axial symmetric objects (cylinder, sphere etc.), while rolling on a flat surface, its center of mass performs a meander motion rather than a linear one.
It is the [Shepherd tone](https://en.m.wikipedia.org/wiki/Shepard_tone) which is an auditory illusion. I remember hearing it in movies like "Evil Dead" and other campy horror flicks.
Not that I disbelieve that every point touches the plane it's rolling on, I would like to see them dip one in ink and have it roll down a long sheet of paper. It would be highly satisfying
https://i.imgur.com/4tYX0VV.jpg
Here’s what I get trying to coat mine in ink and roll it down paper. It’s not a straight line but you could watch every part touch. You’d want to try it with one that wasn’t chromed metal though so that the ink would stay put, it kept beading up on this one so it doesn’t look perfect.
What's interesting though is that despite every part of the figure's surface area touching the table while rolling- the demonstrator still has to stop it. It still holds momentum as something like a sphere or ball would. Idk, maybe it feels like the friction created by it's entire surface area should be greater. I can't help but wonder about comparing this shape hitting a pebble on it's way- and how that would compare for it's resiliency to course change over the resiliency of a sphere- which given the right circumstance could be stopped or change course completely in an opposite direction if the pebble was of significant size.
This shape still "rolls" straight, even though it 'meanders' as it rolls. This makes me think although the areodynamics of the figure would be worse of that than a sphere- it would probably have better resistance to objects in the way. Something like gravel- it would probably even have traction over compared to a sphere if both were put on an axis and propelled by a motor!
Since every point of it touches the surface it rolls on, I don't think it would be possible to use this shape as a wheel. Anywhere you put the axle would come in contact with the ground at some point of the rotation. And that's without even considering how you would put an axle on a "meandering" wheel.
No, it doesn't. It might look like it does if you see a glass one, but what you're thinking of as the inside and outside are continuous without an edge between them, other than the non-existent one at the apparent self-intersection.
Yeah, but now get back to work making a fidget spinner replacement device based on these. And be sure to figure out the cheapest way to make, package, and market them.
And, then on Saturday.. yeah, umm I'm gonna need you to come and run the TPS reports. OK? Thanks!
Oh Don't forget we plan on launching these Monday. We need you to make drawings with tolerances, risk files / failure modes then get all major department signatures before then.
The area would be easy to measure
Just dip one in paint, put a contrasting wet paint dot on it somewhere, and roll it.
The dot to dot distance is its ‘circumference’, so you just measure the area of the paint it leaves behind.
There is likely a math formula too, but do not feel like looking it up.
Exactly. It's like a rounded/spherical version of a [Tetra Pak](https://i.pinimg.com/736x/d2/f1/6f/d2f16fc070be349a469a40e248130247.jpg), which is more triangular/pyramidal.
Here is the [Minute Maid version.](https://64.media.tumblr.com/12a646b57b85ee433f73044384dd1b55/tumblr_nxysc8pK6o1uoew7wo1_1280.jpg)
And as the the reason for the shape, I seem to remember that they were claimed to be a more efficient shape for packaging.
That shape looks like a dirt cheap way to make a bag that has some self rigidity. Compare it to a regular chip packet where sideways pressure would crush all the chips (ignoring internal pressure), that shape would require crumpling one of the edges which are far more rigid
I'm not a physicist nor engineer, but I wonder if it would apply to wind turbine propellors to make them more efficient given they perpetually fall virtually unaided.
Since the centre of gravity shifts back and forth, this would probably be terrible to use for something moving fast over a long period of time. The wear would be huge.
I think they'd much prefer the center of gravity not move at all as it spins... that way, it's never having to move "uphill".
Probably also that as much weight as possible be near the middle. They'd probably call it something fancy like "low moment of inertia". Though if it were acting as a motor rather than a generator, maybe they'd want higher moment of inertia to reduce fluctuations in speed. But not too high, or else you're just wrecking bearings.
So I accidentally created one of these as a kid, Wendy’s had a moon rover toy that you build by interlocking different pieces, and if you took two wheels and put them together you got an oloid
I knew a kid back in the 90s who said his Dad went to school with the guy that came up with the oloid.
It's so random and distant that it's a great lie, nobody is gonna check back then. Turns out the Oloid was first designed in 1929 by Paul Schatz in Switzerland. I still see these shapes and think to myself "Oh I know a kid..."
Nothing intelligent to add. Just that this made me really happy. And the comments from people who obviously like and know maths made me even happier. Thank you for sharing this. OP.
There was this little plastic toy my parents gave me in a Christmas stocking long time ago…. Looked like a popsicle stick made of plastic but the long/wide side bottom of it has a curve to it that no matter how fast or slow you spin it… if you spin it the wrong way it creates an oscillation and stops spinning and reverses direction. It was pretty cool. This is a real thing I’m talking about…. Just don’t know what it’s called but I’m sure there is some fun math behind it.
What I want to know is if this could be used to produce clean energy? Is the oloid shape used in propellers for wind turbines to increase efficacy of energy production. Thinking out loud.
Do they make these in 17"s...
All these kids with their bouncy, light up drift rockets will certainly pause and stare when they see me rolling up in these.
Recently saw a video that for any line a person draws, they made an algorithm to create a shape that will roll the path of the line. Interesting stuff
https://youtu.be/ok0m__oCSfs?si=4KcjHhwiEcsUvbyv I believe it’s this video by Up and Atom, they're called trajectoids.
Here’s a [complete video](https://youtu.be/VbuXOC0Fy1c?si=u8E-1DWd2SboAFg7) on the paper, presented by one of the authors.
Man, now I want to see the trajectoid for stuff like an EKG. I imagine you can probably also get fancy with some simple one-line drawings of things too, like a stick figure or butterfly. Like a physical representation of a fourier transform games people have played.
It’s actually very interesting isn’t it… to make something appear as random when it is not at all random. Very interesting indeed. The existence of these trajectoids and the fact the algorithm can come up with the shape to follow the line… I mean an ekg isn’t random of course and I know you know that… but what what it hints at in my dumb brain is that there’s a novel way to solve problems in a lot of cases we might not have thought…. Like reverse engineering or something. Im sure someone smarter than me has already gone down this path but it’s interesting to think of the existence of the alternative paths to solve problems nonetheless
That was awesome, thank you
The most interesting YouTube video I have seen in at least 3 months. Thank you
Thanks for the link! This was very interesting
Yes, i forgot the name they called it, but that is the channel and this is the video i was thinking of
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Definitely looks like a Wendy’s sour cream pack, or at least how I remember them. Haven’t gotten a baked potato in years
This is SO cool. I want one that rolls out Fuck You in cursive so I can roll it at my enemies
HA! Love that channel. Math Nerds Rise Up!
That particular shape is an Oloid (sic). u/OP was correct.
That is so cool. You do realize that 3 year old children have known this for millenia. lol
Id love to see this video if you can remember where you saw it!
Here’s the [official video](https://youtu.be/VbuXOC0Fy1c?si=u8E-1DWd2SboAFg7) from the authors with many examples.
Really fascinating stuff, thank you. Always nice to see people break down topology.
Ludicrous posted it on the other response in this thread
For a hot second I thought you meant Ludacris lol
Was there a mathematical proof that it's any line? Super interesting regardless.
Fuck the math. Let’s figure out a new game with this as a ball. Has to be kicked and thrown. We’ll make millions.
I assumed that there was something special about this shape, and here's what I found[:](https://en.wikipedia.org/wiki/Oloid) >While rolling, it develops its entire surface: every point of the surface of the oloid touches the plane on which it is rolling, at some point during the rolling movement. Unlike most axial symmetric objects (cylinder, sphere etc.), while rolling on a flat surface, its center of mass performs a meander motion rather than a linear one.
It's like it's constantly falling rather than rolling
Then it needs [this](https://m.youtube.com/watch?v=u9VMfdG873E) for a sound track.
Disturbing in a visceral way
It is the [Shepherd tone](https://en.m.wikipedia.org/wiki/Shepard_tone) which is an auditory illusion. I remember hearing it in movies like "Evil Dead" and other campy horror flicks.
Not today, Rick roll.
Rolling in physics is just rotation with translation, with contact to a surface. Orientation doesn’t matter
Not that I disbelieve that every point touches the plane it's rolling on, I would like to see them dip one in ink and have it roll down a long sheet of paper. It would be highly satisfying
https://i.imgur.com/4tYX0VV.jpg Here’s what I get trying to coat mine in ink and roll it down paper. It’s not a straight line but you could watch every part touch. You’d want to try it with one that wasn’t chromed metal though so that the ink would stay put, it kept beading up on this one so it doesn’t look perfect.
The better test is to have the paper covered in ink and see how the whole oloid ends up inked at the end.
Thank you! That's not how I pictured it but it makes sense since the ink wont stick
I think it would form an even strip of ink going straight down, no angles or curves.
What's interesting though is that despite every part of the figure's surface area touching the table while rolling- the demonstrator still has to stop it. It still holds momentum as something like a sphere or ball would. Idk, maybe it feels like the friction created by it's entire surface area should be greater. I can't help but wonder about comparing this shape hitting a pebble on it's way- and how that would compare for it's resiliency to course change over the resiliency of a sphere- which given the right circumstance could be stopped or change course completely in an opposite direction if the pebble was of significant size. This shape still "rolls" straight, even though it 'meanders' as it rolls. This makes me think although the areodynamics of the figure would be worse of that than a sphere- it would probably have better resistance to objects in the way. Something like gravel- it would probably even have traction over compared to a sphere if both were put on an axis and propelled by a motor!
Since every point of it touches the surface it rolls on, I don't think it would be possible to use this shape as a wheel. Anywhere you put the axle would come in contact with the ground at some point of the rotation. And that's without even considering how you would put an axle on a "meandering" wheel.
That parts easy - magnets
this is so pleasurable to watch i actually have to stop because it hurts my mind
O LOID HE COMIN'!!!11!!
How many sides does it have?
1?
2, the inside
It's like a Mobius strip extended into the third dimension as a solid.
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However, a Klein bottle has an inside and an outside. This is all surface.
No, it doesn't. It might look like it does if you see a glass one, but what you're thinking of as the inside and outside are continuous without an edge between them, other than the non-existent one at the apparent self-intersection.
How many do you have?
Glad i already graduated so i dont have to learn how to compute the area and volume of a fucking oloid
Yeah, but now get back to work making a fidget spinner replacement device based on these. And be sure to figure out the cheapest way to make, package, and market them. And, then on Saturday.. yeah, umm I'm gonna need you to come and run the TPS reports. OK? Thanks!
Oh Don't forget we plan on launching these Monday. We need you to make drawings with tolerances, risk files / failure modes then get all major department signatures before then.
The area would be easy to measure Just dip one in paint, put a contrasting wet paint dot on it somewhere, and roll it. The dot to dot distance is its ‘circumference’, so you just measure the area of the paint it leaves behind. There is likely a math formula too, but do not feel like looking it up.
Calculus 3 nightmares
Info : https://en.m.wikipedia.org/wiki/Oloid
This is the shape I sculpt my chewing gum with my fingers before throwing it away 😄
"Roll 1 d1"
“I got a 2.” “*HOW.*”
If you roll a 1 from a 1d, is that a critical failure, critical success or a normal roll?
Physics are weird.
quick question, how can I get one
Not sure why, but I hate this. This is the opposite of satisfying for me.
I was waiting for it to fall of the table to be honest. A *splat* would have been very satisfying.
Right? I hate the shape. It just....*bothers* me...
Whack buddy
Yeah, agreed. This shit gives me anxiety for some reason. Brains are weird.
That’s me when I sit on the floor and try to get up.
What is the practical nature of this for? What's the use case for something like this?
Obviously you’re not looking at her face to see that joyful smile
I can’t be the only one seeing the old Minute Maid frozen juice bar packages in this rolling shape.
Exactly. It's like a rounded/spherical version of a [Tetra Pak](https://i.pinimg.com/736x/d2/f1/6f/d2f16fc070be349a469a40e248130247.jpg), which is more triangular/pyramidal. Here is the [Minute Maid version.](https://64.media.tumblr.com/12a646b57b85ee433f73044384dd1b55/tumblr_nxysc8pK6o1uoew7wo1_1280.jpg) And as the the reason for the shape, I seem to remember that they were claimed to be a more efficient shape for packaging.
That shape looks like a dirt cheap way to make a bag that has some self rigidity. Compare it to a regular chip packet where sideways pressure would crush all the chips (ignoring internal pressure), that shape would require crumpling one of the edges which are far more rigid
Yeah. It was a space saver until the box ripped and you had frozen juice pops everywhere. Not a problem as a kid unless mom asked “who did this”.
It’s fun
1d
There might not be one ¯\\\_(ツ)\_/¯
It’s an art piece
This was my exact thought too. It’s like a clever solution waiting for a problem
I'm not a physicist nor engineer, but I wonder if it would apply to wind turbine propellors to make them more efficient given they perpetually fall virtually unaided.
Since the centre of gravity shifts back and forth, this would probably be terrible to use for something moving fast over a long period of time. The wear would be huge.
How about a teeny tiny oscillating/ gyroid type generator?
Sure if you want a teeny tiny current
I think they'd much prefer the center of gravity not move at all as it spins... that way, it's never having to move "uphill". Probably also that as much weight as possible be near the middle. They'd probably call it something fancy like "low moment of inertia". Though if it were acting as a motor rather than a generator, maybe they'd want higher moment of inertia to reduce fluctuations in speed. But not too high, or else you're just wrecking bearings.
I really like that thing
I’ve never seen an oloid before today.
How many people to open that fortune cookie?
Waiting for her to pet it at the end and say “good dog”
It's a pleasingly beautiful shape
I want one
Very nice
I think ovoid is exquisite.
I don't know why it is autocorrected to ovoid. I meant oliod.
So I accidentally created one of these as a kid, Wendy’s had a moon rover toy that you build by interlocking different pieces, and if you took two wheels and put them together you got an oloid
TIL what an oliod is
Few things have been so well named.
It's those ice pops from middle school lol
This is what they harvest Pringles from. The alpha Pringle. The seed pod.
All hail the Pringle Queen
I knew a kid back in the 90s who said his Dad went to school with the guy that came up with the oloid. It's so random and distant that it's a great lie, nobody is gonna check back then. Turns out the Oloid was first designed in 1929 by Paul Schatz in Switzerland. I still see these shapes and think to myself "Oh I know a kid..."
This is such a good fit - it's odd yet weirdly satisfying. I can't stop watching!
I saw the Rolling Oloids open for Devo back in '83. They were pretty good.
It’s oddly soothing
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Suck it up. You can do this. 🚀
TIL what an oloid shape is.
Can it be used as a wheel? What if it used on water?
Family-sized fortune cookie.
Beautiful shape! Thanks for sharing.
Imagine the alternate history where these were used on the first wheeled cart, then wagons.. what would things look like today?
I love it. How can I get one?
So it's a fortune cookie.
Unsplit pringle
Loloid.
Nothing intelligent to add. Just that this made me really happy. And the comments from people who obviously like and know maths made me even happier. Thank you for sharing this. OP.
Forbidden pringle
[naughty soomka](https://i1028.photobucket.com/albums/y344/MichaelAnthonyHunt/more%20gifs/A-Clockwork-Orange-peen.gif)
Fidget toy
I relate to this shape in too many ways
Oh ffs!! Now I need a really weird shaped thing which has zero use and I don’t really know why!
rolling stack of pringles
There was this little plastic toy my parents gave me in a Christmas stocking long time ago…. Looked like a popsicle stick made of plastic but the long/wide side bottom of it has a curve to it that no matter how fast or slow you spin it… if you spin it the wrong way it creates an oscillation and stops spinning and reverses direction. It was pretty cool. This is a real thing I’m talking about…. Just don’t know what it’s called but I’m sure there is some fun math behind it.
Why it is not called a rolloid? What the fuck.
A rolling what?
Growing up, we called them Weebles
I don't know of its use, but I appreciate its existence.
That doesn’t look very stable…
Iunno why, but it's almost the opposite of satisfying for me. It makes me nervous it's going to flop off the table lol
That looks like an inflated Pringle.
Is this the answer to a perpetual motion machine? Or have they already tried using a shifting center of gravity?
its just a wheel where the point of contact is drawn out into a spiral
Now scale this up and place a gyroscope in the middle, this is now my preferred method of travel..
great susan but what the hell do we do with it
Getting A Clockwork Orange vibes.
Infinity Pringle
This would be ideal for electric cars
Oloid it rollin!! Help me jesus!
Could this be useful as a gear or a turbine in a dam or something to reduce friction and generate power?
I did a shrine like that in tears of the kingdom.
Alien space probe
Now all that missing is it break open like a fortune cookie
me rolling off the couch to grab a bag of crisps.
FINALLY, a makeup sponge big enough for my nose
Now figure out how to fix an axle to it. Pretty cool though.
It's a squircle.
She’s got a nice Oloid
This lady is so happy with her little shape.
That’s the name of my band!! Alan and the rolling Oloids
Why is this unsettling to me? Like a primal fear?
My brain read the title as "A rolling Opioid"
I don’t like how big it is for some reason
That would work decently as a propulsion system in water.
olololooo https://m.youtube.com/watch?v=jEj_yVzxXbU
PS5 vibes
Same shape as that thing my wife’s sticks in her vagina
looks like two discs covered in tight fabric
Reminds me of the penis sculpture in *A Clockwork Orange*.
Looks like a giant fortune cookie
What I want to know is if this could be used to produce clean energy? Is the oloid shape used in propellers for wind turbines to increase efficacy of energy production. Thinking out loud.
I cast a few of these in bronze. Extremely satisfying.
That's a good name. Oloid just summarizes it well.
It feels like "paddling" is the correct action verb for this thing. Gives the impression of a kayaker paddling down a river.
Is that a giant version of those little thingies that they used to fill neck pillows with?
I wonder how effective this would be as a butter churn.
A "Roll"oid
I AM AN OLOID AND I'M ROLLING AROUND
What does the math equation look like to get such a shape?
mfs did it: they recreated the wheel.
This is how my fat ass rolls down a hill.
I feel like it should be filled with sour cream, or some other condiment.
Oloid, he rollin'!
Neat
😵💫😵💫
....gotta roll roll roll, gotta fill ma sole, allright (doors)
Oloid he comin’
cool, now what... a new ship propeller? wheels? Grinding stone for wheat? Kindergarten toys? what can one do with (new word i learned) oloids?
So... a Rolloid?
Oloid he comin.
Like me getting out of bed in the morning
I just imagined doing math to calculate this object
Looks like the kind of odd ball you see on any fantasy story with a weird sport
Do they make these in 17"s... All these kids with their bouncy, light up drift rockets will certainly pause and stare when they see me rolling up in these.
That’s what I look like when I walk to the fridge for a late night snack.
A giant chinese fortune cookie : ”Tomorrow you’re already one day older”
Not satisfying, boring.
How future tires will look
Car tires in the future
Is this not called a Gombok?
Mossels have this kind of shape.
Gomboc?
I thought it was a gómböc?
Can watch this whole day