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Geometry and Oat Milk? (I honestly don’t know how to title this video) || Big Math Off Quarter Final
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- Опубліковано 7 сер 2024
- More links than the Zelda franchise:
The Big Math Off voting is live right now, right here aperiodical.com
The ol’ Patreon / ayliean
A single printable page containing the net of a Flexahedron, and just enough space in the margin for a Tri-Hexa-Flexagon!
drive.google.com/file/d/1mCd9...
The stunning Möbius Flexahedron from OIST (it even comes in rainbow colour!)
groups.oist.jp/mmmu/mobius-ka...
The printable Truchet Tiles Zine, I wanna see these hiding in cafes for people to find and play with - get them printed, get them out there!
drive.google.com/file/d/1Qeev...
I hope you have as much fun cutting and folding these as I did - and please show me anything you make!
You're of course correct about how these packets are produced. The reason was originally that the inner part of the tube could be kept aseptic/sterile throughout the process, as only two ends of the tube would ever be open at the same time, and could easily be controlled, and it was also very simple mechanically. It was invented at a time when most milk was sold on tap or in sealed glass bottles.
Oh nice, thanks for confirming my wild speculation with a cool fun fact :)
It's also probably one of the most efficient shapes for packaging tiny amounts of milk, like these single serving coffee milk packets, in terms of avoiding spilling milk. I assume as long as the tube of milk is crimped with a rolling motion that avoids trapping it under pressure but just pushes it forward into the uncrimped end you have less spill per packet than any other shape that requires several folds during production. And also tiny packets are hard to open without spilling but if the opening is on a pointy end you can more easily open it over your cup without spilling much. The shape is also less likely to flatten by pinching it than a rectangular carton is when you opening it.
Oh, and the mechanism for creating this shape is way simpler than any folding carton design too.
3:06 weird flex but okay 🤭
Hahaha love it! I’m just constructed different 💪
Came here to say this
they used to package frozen juice bars like this for kids (maybe still do?). added bonus you can squeeze one end and it pushes the popsicle out
In Scotland they were called Jublees!
@@Ayliean Yeah, Jubbly (Plural = Jubblies?) in England too!
Invented in Sweden 1944 and the base for the company Tetra Pak.
First product 1952 was 1 dl cream.
this information serves no purpose in my life and I love it anyway! thanks
These flexahedron are also called kaleidocycles. There is a book by Doris Schattschneider and Wallace Walker with cardboard ones, decorated with M.C. Escher patterns, to assemble. Including the weird Moebius like ones.
Truuuuue, it is a fantastically cool book which produces very nice cutouts :)
Well thanks... Now I have to be the weird person taping milk together at work on monday..
congrats AGAIN on masking it through this round.
more than that though THANK YOU for the flexahedron and truchet downloadables!
mobius flexahedron is very satisfying to watch
Omg when I was little I used to drink so much juice out of tetrahedral packages and I'd call them "triangle juices". It's so interesting to know there's so much mathematical depth to it!
milk in a bag is just milk balls that haven't been filled to their maximum potential volume... which is probably for the best, actually. Imagine the smell in the dairy isle if we sold milk in what would ostensibly be water balloons.
@ 4:39 so stimmy! Now I need flexagons in my life, gonna build some of those for sure.
Remember Jubbly lollies? I think the oat milk carton is the same 'shape' as those. Something like a scalene tetrahedron or some sort of di-sphenoid. The good stuff!
shame it wasn't cows milk, there are mootiple cow puns in math, unfortunately I can't cowculate them all but I guess oats have their moments they've got an affinity for oatigons, and there's always milkiplicity >_
we just have to replace the spherical cow with an infinite field of oats of uniform density
@@adamengelhart5159 I mean they approximate rhombic dodecahedra so they infinitely pack 3d space
@@adamengelhart5159 are oats an ordered field or algebraically closed?
Fascinating video, thank you! I hadn't encountered Truchet tiles before, so I think I'm about to make a nice discovery :) By the way, I remember, I think, drinking milk at school from one of these tetrahedron shapes, after poking a straw through the hole (I was a kid in 1970s England). It could be a false memory, but I'm reasonably confident it isn't. I think we also had small bottles of milk, but I don't remember which came first - probably the bottles. It was provided free as a government policy at the time.
Very late to this, but enjoyed it a lot. Two things: 1. I think that you have to consider not only efficiency of production, but packing efficiency in shipping lots of them in a box. :-) 2: Are you familiar with beaded kaleidocycles? Some of the ones in the Contemporary Geometric Beadwork project are just stunning. I don't know if anyone has made a mobius one, though.
Great video! Really enjoyed it.
Oh thanks MVP! Imagine seeing you here! 💗
This video was amazing; what a gem!
HAHA this video was so cool, bummed they didn't pick a more efficient shape for their milk tho lol
There's a flexahedron mobius strip??!!!? Wow! (doing a little happy dance) It's funny how you start to see mathematical shapes all over the place once you start looking, though I admit I'd never considered tiny milk bottles before.
I love it!!
I voted.
You're the best!
Love it!
I've seen potato chips/crips, Lidl branded iecream and coffee creamer (powdered) packaged like this. But now I know the maths behind it. Thanks!
UA-cam randomly suggested this video to me and I'm so happy it did!
We have similar packaging for something called "mama punte" (basically fully-fried noodles, seasoned with salt and spices) in India. (Made of plastic)
> brings out the oat milk kaleidocycle
me: *screams in joyful insanity* 🥹
This, this is why I do what I do 🥰
*smiles in reciprocal maths joy*
I get packets like that with Smooze fruit ice.
You know what must be done!
Ayliean is flexing on us loners with her two friends! 😭
i was just thinking about that shape (the oat milk carton) and wondering what it was called because i remembered when i was little (late 80s early 90s) we had frozen juice things in school in that shape container that we called icy-juicys (i don't know what the brand or "name" actually was)
I remember those too! I’m Scotland they were called Jubblys
Do you speak BSL? I don't, but see a clue when you flashed those fun nails near the end.
Not listed yet on big internet math off. I assume the last quarter final is tomorrow 13 July
I have no idea how I got here. But I'm glad I arrived.
I’m glad you’re here too! C’mon, get in this nerd herd 💗💗
@@Ayliean ❤️
"the volume is maintained...." But is it? In the mid flex state, I intuit that the volume is different. I wonder..
I think it is. two sides are in motion at once, and essentially the volume changes shape/position but the internal volume stays the same. its a good question tho - is this the same at the end points or continuously?
Netrahedra... Nice
wait how would we use such a small amount???
Sponsored by big flexi-gon still possible?
Not on the math off site yet, looks like the quarter finals are still going
gets updated at 8am. return tomorrow to vote.
love your material, I'm a huge fan of geometric designs in nature. Structures In Nature Is A Strategy For Design by Peter Pearce is a great book if you have the chance to find it (could send you a digital copy if you'd be interested) cheers :)
you're a really smart gal' and so much style charisma and attitude! you are the definition of amazing. no lie
keep it going.
Life is just a big pond(or surface of zero friction liquad with no air resistence) and we are the ripples (caused by quantum fluxuations in the liquad)! god is the light (that comes from the ether) that reflects our surface, back into the ether. So you can imagine the interactions, randomness and entangledmentations that would result in something so crazy yet utterly impossible to recreate even if one was to spend an enternity.
@6:26: "THIS VIDEO WAS NOT SPONSORED BY BIG OAT MILK NOR BIG TETRAHEDRA"
Well, of course. The tetrahedral oat milk things are smol--only 20 mL and a few cm on a side. Nothing big about it 😄🥛🧮👍
this stuff is my glimmers. wibbly-wobbly shapey-wapey stuff.
Oh, I am so happy to bring some joy shaped maths into the world - thank you for letting me know 🥰
@@Ayliean "be the joy you want to see in the world"
A far too cynical world: "pffft!"
Ayliean: "hold my small sachet of oat milk..."
[general fabulousness ensues]
Texmexhexaflexagon is best flexagon
links to everything pleeease! mobius flexahedron especially! extra stimmy!