"I haven't done it. But it should be reasonably easy.." Parker's Last Theorum.

My obsession with Matt Parker finally convinced the UKposts algorithm to show this to me. If that's what it takes.

I guess the algorithm just decided to no longer ignore the video

"He was so proud, he named himself after the loop" I can't not give a thumbs up for jokes like that.

"Now you stand there awkwardly" "wow.. you actually did that"

Matt gained the respect from the remaining 20% at 21:37 Such a humble talk. The way he kinda downplays his role in math is sad, but I feel he has the most important role in mathematics: getting younger people excited about mathematics, ushering in the next generation of mathematicians

Thank you! The UKposts Algorithm for presenting me this 1 year and 4 months since the talk happened :D

I tend to use opacity to represent the fourth dimension when i try to manipulate 4D objects in my mind. I just keep in mind that if two pieces have different opacities then they don't touch. I like to define 0 in the opacity dimension as 50% opacity so i have room to go in both directions Then for rotations it helps to realize what a rotation is. So for 2D you pick a point (a 0 dimensional shape) and everything keeps the same shape and every other point stays the same distance from that point. In 3D you take an infinite line (a 1D shape) and everything keeps the same shape and distance from the line. So in 4D you take a plane (a 2D shape) and do the same thing. I recommend limiting what planes you can use just to keep things simple. So the 3D equivalent is just rotating around the point at (0,0). In 3D it's the lines corresponding to (X, 0, 0), (0, Y, 0), and (0, 0, Z). In 4D each plane is defined by two coordinates. If one of those coordinates is opacity then it just looks like one of the lines you use in 3D and the rotations look the same, that accounts for 3 of the planes ([o, x, 0, 0], [o, 0, y, 0], and [o, 0, 0, z]). The other three are the planes where you've picked 2 of the normal 3 dimensions (x, y, or z). You've got four dimensions and you're picking 2 of them, that's why there are 6 rotations in 4D, it's 4 choose 2 (look up the choose function to learn more or to easily calculate it for higher dimensions). To rotate around the latter 3 options the points either stay in the same spot (if they're already touching the plane, like how the earth's pole's don't move when the earth rotates), they move farther away in 3D while their opacity matches the plane more or move closer to the plane while their opacity starts to match it less. Things on one side of the plane should become more opaque if they move closer and things on the other side should become more transparent as they move closer, that way opposite sides of the object maintain the same 4D distance apart even if they are in the same spot in the 3 normal dimensions I recommend starting by rotating 3D objects in 4D. Like try a 3D sphere that starts centered on (0, 0, 0, 0). All possible to be done just in your mind

Matt would like you to think the soapy mixture found the minimal surface with a small cube bubble in the large one. I think he was using a square straw.

This man is an absolutely brilliant communicator. He’s funny, he has insight, he knows what matters, and he can put it all together into a coherent and fluid presentation. That it what I want to learn from him. How to be this good at presenting on a topic.

“A lot of the time mathematicians have the solution of not caring. A lot of problems in math are fixed by, ‘Have you tried not worrying about it?’” I have never related to a statement so strongly.

From 39:00 in, the number of possible rotations in d dimensional Euclidean space over the reals *R* where d > 1: (d choose (d - 2)) = (d choose 2) = d(d - 1)/2. In other words the triangular numbers 1, 3, 6, 10, 15 and so on. So Matt was right when he said 10 for d = 5.

I was just going to relax for a few minutes and Matt’s videos are always great fun. 50 minutes later I experience the true relativity of time. Matt is so cool. And what a wonderful way to round off the Abel Lecture.

Holllllly shiiiit. The upmost respect for dealing with a heckler live on stage at the very beginning - that was awesome

I love that he starts his Abel lecture with Numberphile's video on a non-standard summation method. Very fitting.

I mean, gotta love the talks by Matt. It‘s always a pleasure to see a subject, which I understood half-way so far and having it explained with that amount of humorous elements.

For the 3D/4D cube, try reading a short story by Robert Heinlein. The story is called "And He Built A Crooked House". Essentially, he built a house which was an unfolded tesseract, i.e. it was four cubes stacked vertically, with extra cubes glued on each of the four sides on the first floor. This is EXACTLY like the picture at 35:45 or thereabouts. In the story, he built the house in California, and California has earthquakes, so... one of these earthquakes caused the house to fold itself into a real tesseract. Mayhem ensued.

Always need more Matt Parker

A few years on now but I love seeing all these maths profs loving Matt’s show 😁

okay with the bit about rotating a cube then a hypercube, i squinted a bit and i suddenly was *seeing* rotation rather than self intersection. my brain is in the process of evaporating as we speak

@MattParker, some extension to 1-twist Möbius strip cutting: * Cut strip in half as you did. Then cut it *again* in half. * Cut strip in 1/3 of its width, not 1/2.

This video deserves more views and likes. I am going to do the 2 Möbius strips to interlocked hearts with my daughter and her friend that is coming to stay over tonight. I also loved the cube bubble inside the cube. Thanks!

I tried the two conjoined Moebius strips with the same handedness, and I got two loops: one sorta boring one that looked like a boat hull, but one more interesting one that looked like two half-heart shapes with a full twist in them.

I took Calculus from Tony Tromba at UC Santa Cruz (1981 ... AD). His research is on minimal surfaces, soap bubbles, etc.

As much as I love the content of this video, what I really need to know is what bubble mixture did Matt use?

For some reason my brain combined Trey Parker and Matt Stone and I genuinely thought one of the South Park guys was about to give this lecture...

adding a small amount of glycerin to your soapy water will help with the bubbles, makes them stronger

I cannot believe I missed this one.. I know exactly what hes going to talk and show but is so nice to hear it again XD

Forget Möbius, _this_ guy is so vain, he named square after himself. Well, _a_ square.

That four towns problem just used hexagons. Since hexagons come from circles it makes me think the problem could be solved with circles. Minimal surface of cube doesn't work out as obviously cleanly though. It's did make me want to see the minimal three dimensional surface of a tesseract though.

I love Matt Parker, he's awesome

6:50 sadly this is not the recycling logo. I don't know why, but one of the 3 arrows flips the other way which makes the recycling logo a vanilla mobius strip.

Really great. Fun

Cool, this video has inspired me to come to the conclusion that as dimensions increase anything and everything becomes reality.

I am the kind of person to point out “hey that is a three twist möbius loop” to my friends and family. Thank you for telling me this.

the optimal ratio of the side of the small inner square to the edge of the outer cube is roughly 0.0729:1

Nice.. @35:30 "actually that's 2d, now lets show you the 3d.." changes angle of 2d projection to a classic three point perspective.. this is 3d.. hahaha. And nobody stands up and leaves the room. That's the genius of Matt Parker..

So many amazing jokes just ignored because “I’m far to academically brilliant” to laugh at that.

gold

I love when UKposts algorithm .. recommend something useful...

Oh my god! He had a tough crowd. Nobody laughed at: "...torus and doughnut, torus is the outside surface, doughnut is the solid object...and is more delicious". Unbelievable.

The optimal ratio of square length to cube length, if I did this right, is (3+sqrt(985+64sqrt(241)))/6, or approximately 8.

Wonderful talk - deserved a better audience.

11:23 "Instead of getting two [connected] hearts, you end up with disappointment." Oh, so THAT'S what I've been doing wrong. ;-)

Well, it took you a while, algorithm.

개념을 단순히 문자로 이해하고 있는 것과 입체적인 감각을 가지고 있는 것은 천지차이라고 생각합니다. 최소면적과 최대 차원에 대해서 시각적으로 표현해주신 이 영상을 통해서 제 머릿속의 개념을 입체화 할 수 있었던 것 같습니다.

You do _NOT_ get "-1/12" if you sum all integers to infinity. The correct answer to that kind of series is that it _diverges_ - it approaches infinity. I am assuming that the "-1/12" thing must haver something to do with Ramanujan Series - it is certainly not an _ordinary_ series.

hahaha - you're brilliant and hilarious Matt! Thank you very much.

okay, what happens if you dip a mobius loop into bubble mixture?

6 comments and 163 likes? What? This was quite entertaining and insightful... What happened?

Any one have noticed the semilarity between the cube surfaces and the teserract?

Truth in all is literally an oxymoron, thank you for that, almost as much as the quote in it's use "Whatever you're imagining, it's bigger." I can barely into the presentation not help but drift away in my childs mind wondering about all life's possibilities in math. Even my digital typewriter is showing me my words are wrong, yet they are exactly what | want them to be.

If real math classes were as well taught as this one, I could be a mathematician. True fact.

"You're all dead inside!" Well, it is a math video.

Your surface tension was too low in the 4D bubble box demo. Your bubble mix probably had too much soap or not enough water. The soap to water ratio in other words. Any instability in the system will show as a square. Higher surface tension would give the singularity more stability.

I didn't even click this video, UKposts played it for me 👍

zero dislikes.

huge South Park fan and I never knew those guys were so smart, just goes to show you can write comedy AND be a genius too

43:44 "You can't just shove this through this! There's gonna be a hole there!"

Thanks for this and the guy should do standup just for fun :x

I’m straight up about ya use that heart trick to pick up girls in college (I go to a tech school)

Matt Stone and Trey Parker created the ultimate character Matt Parker.

31:41

The best part of this is him laughing at his own jokes

10:30

he skimped on the bubble bath :D

Parker cube? 👀

I thought the audience was asleep until 21:28

Can’t believe this is the guy who made South Park wow 😮

I had to search for this myself.. :(

the Mobius loop or whatever is just like those weird colorful things at the playground with holes that you climb on lol

wow that's a difficult audience

Recycling Logo 😆

silly me, i thought this was the love child of trey parker and matt stone... good day.

Is he the love child of the Southpark guys?

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Oh, it's a long video, I will stop watching the moment I got bored. 50 minutes later....

I may have dyslexia. I read the title as “Meat Packer”

2021-7-10

Tough crowd...

0:32 What's a blog post grandpa?

Sorry as an architect interested in geometry I so not see the Klein bottle or the Mobius strip as real 3d objects. The look real but theoretically are not real 3d objects as described. Call me old fashioned. They have no actual depth. I see them as pseudo objects, attempting to describe an ideal, not real things. Am I wrong?

20:30 that's a Hexagon, a Bestagon!!! @CGPGrey

15:57, where I actually clapped physically and left the video🙄

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The video was really helpful and AWESOME, BUT..... as Thor says; YOU TALK TOO MUCH!!

_"He was so proud he named himself after the loop."_ Seems like he slipped there with the pronouns. In late 2019 he was still an apprentice in calling everybody "they", and the correct pronouns were still slipping here and there. Nowadays he has trained himself a lot better in being obnoxious about it.

Half of these comments are recent lol