Відео

the string knots wouldnt get smaller and smaller because the string was thick on one end and thin on the other, if you made the string the same thickness it would not change size. the intro video is an illusion displaying false facts. if the knot itself were to keep getting smaller it would not be infinite, the smallest knot is dictated by the strings thickness, once there is no more space between the string it cannot continue unless the string ALSO gets infinitely thinner. that was a horrible fake example. there are no knots that infinitely get smaller unless youre using an infinitely small string. which by its own logic cant even exist.

Please make more of these

Just shake the slip knot to untie it

Isn’t the Universe wonderful!

The more point-like the light source the less fuzzy will be the edge regions.

This video feels like is a movie long and is boring but very interesting

Like fr 😑

Well done. ❤

This is brilliant. Thank you for making this video about Impossible triangles!

it’s SO COOL

And to think... I spent my weekend trying to get a perfect swirl of Easy-Cheez on a Triscuit.

i feel like this is more a demonstration of the limits of the definitions used and how they're applied, rather than proving that the infinite knot is not the unknot.

I understood everything until he said "This knot is wild"

Glass/transparent paterial or maybe strings?

someone should make a clear D120 and fill it almost full with water, the little air bubble at the top would make it easier to tell what you rolled

Harmonic relationships came to mind, particularly those involving ratios of small integers.

Very cool, and pretty too. Almost looks as if it's squishing, until you look more closely.

I instantly recognized the cube tree pattern. I've been playing with variations that imply a Sierpinski Triangle (what I call a ternary cube tree). In fact, I have a new one that I've been putting many hours into. I should be posting vids (on top of the ones I've already posted) within a couple of weeks, if I can just stop tweaking the damn things.

Hi, Henry! Where did you get those magnetic rope ends? Or did you make them? Thanks!

Imagine seeing tgis on a 3 veiw with no isometric

Looking at any one "major" site, having 6 heighbors. It's like spherical packing, but of wavefronts on the surface of the sphere. What is the frequency of the primary oscillations with respect to n? Edited: Mod 3, I see now

I just received my set of OptiDice, which inspired me to check how numerically balanced the rest of my dice were. I was shocked how other than OptiDice, every dice set has 5-8 on the same side of the d8 and 7-12 on the same side of the d12. And a few sets didn't even make sure opposite sides added to 9 or 13 (respectively)! Numerical balancing needs to become the standard.

I think if we stop naming things after people, that does more harm than good. The core problem is the naming bias, not the practice itself. Trying to give names like the "length-angle invariant" will inevitably become ambiguous when additional such invariants are discovered, and they'll also invariably lead to proliferation of acronyms, which suck. I'm also not a believer that the person's name necessarily always needs to be the very first person who discovered a concept. If someone else did important work studying, expanding, or popularizing it, that can be as important as the initial discovery.

All the idiots that were fooled into thinking the flat planes were icosahedra…

so youre like a fractal expert? cooooool

Genetically superior d4

One thing that jumped out to me is the difference between infinite processes and infinite states. 0.9... is 1 because it's not an infinite process of something writing the number 9 on end, merely approaching 1, but every single infinite 9 is already present. However, the issue with the infinite slip knot is you can't undo all of it at once. You have to undo one slip before you can undo the next. IDK if that is actually accurate, but is one of the ways I parse infinities

this is so fascinating

A bit flat, so no intuition gained on how the wild slipknot might not pull out (or require an ordered complement.)

is there a model where lengths aren't distorted (regardless of angles)

i liked this vid and its niche but versatile concept. the music was a little distracting for me. I can tell its intended implemented was to be non-distracting, so i thought this feedback might be helpful. not subscribed but looking forward to the next niche concept!

Has anyone tried to make 4 dimensional Archimedian solids?

As someone who doesn't understand group theory at all, I love the idea that group theory links so many totally disparate concepts. Does this mean you can create a knot that retains the symmetry operations of each of the 219 space groups for 3d crystals?

A super high mathematician playing with yarn: "Yo man... what if the knots were like.. infinite? That would be WILD"

After a point it all started to go over my head, but this was still a super interesting video. My non-mathematician brain enjoyed the 3D models and the colours 😁👌

The thumbnail looks like a weird daisy chain.

I'm guessing they say "zero" at your lab and not "naught"? knot.

This is such a lovely and concise video. Thank you! :D

Robin Houston saw this video and thought, "I could do better."

I'm fairly sure that almost no mathematics is done by dead white men. Well, who knows, maybe there is an afterlife where mathematicians carry on their research for eternity. But they don't tend to share their results with the living.

does that mean that crocheted items are wild knots? have i been working with wild knots?

00:11 that was the most seamless transition to animation ever seen.

5:32 Quite remarkable/mind blowing

math is diabolical lmao

Is it possible to construct an infinite slipknot of finite length? Perhaps if each cell was half the length of string compared to the previous, for example. Then isn't there an analog to Zeno's paradox wherein pulling on the string at a fixed rate for a finite amount of time will undo each successive cell in half the time of the previous, untying the knot in finite time?

Wild knots uwu

Funny thing being "Dehn" is German for stretchinf. So "Dehn invariance" sounds like invariance under stretching

Woof, so sorry I missed this video until Matt Parker's video today!