is there a model where lengths aren't distorted (regardless of angles)
@nameloading998622 сағат бұрын
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!
@KlaxontheImpailrКүн бұрын
Has anyone tried to make 4 dimensional Archimedian solids?
@azd6852 күн бұрын
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?
@malechex6112 күн бұрын
A super high mathematician playing with yarn: "Yo man... what if the knots were like.. infinite? That would be WILD"
@oliviadsouza34713 күн бұрын
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 😁👌
@brycep70934 күн бұрын
The thumbnail looks like a weird daisy chain.
@msmknz4 күн бұрын
I'm guessing they say "zero" at your lab and not "naught"? knot.
@snail19574 күн бұрын
This is such a lovely and concise video. Thank you! :D
@reddcube5 күн бұрын
Robin Houston saw this video and thought, "I could do better."
@gdclemo5 күн бұрын
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.
@RowensGotGamesYT5 күн бұрын
does that mean that crocheted items are wild knots? have i been working with wild knots?
@tychicusoftexas5 күн бұрын
00:11 that was the most seamless transition to animation ever seen.
@Nia-zq5jl5 күн бұрын
5:32 Quite remarkable/mind blowing
@henryzhang39615 күн бұрын
math is diabolical lmao
@adaetz10425 күн бұрын
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?
@rattttooooo6 күн бұрын
Wild knots uwu
@sinom6 күн бұрын
Funny thing being "Dehn" is German for stretchinf. So "Dehn invariance" sounds like invariance under stretching
@StephenLindholm6 күн бұрын
Woof, so sorry I missed this video until Matt Parker's video today!
@WhyneedanAlias7 күн бұрын
In H3 what would be the problem with aligning the view perpendicular to the ground each frame? For every point where the user/player could be in hyperbolic space, there should be a straight line perpendicular to the ground and going through said point, right? If the ground is flat of course
@MaximQuantum8 күн бұрын
I love how in the intro, the real life footage perfectly matches with the simulated footage afterwards. What I believe he did was reverse the footage of the first clip, first starting off with the 3D model in the precise position and then picking it up and turning it.
@henryseg6 күн бұрын
That was the trick, yes!
@MaximQuantum6 күн бұрын
@@henryseg so sneaky and elegant!
@rainbowimpostor9518 күн бұрын
You need infinity tangles to unknot the wild knot??! I wish I had that much time...
@bwayagnes8 күн бұрын
I really love this! Could easily be the beginning of a cool movie concept starring various famous math and science KZreadrs
@foswex9 күн бұрын
So cool
@Holobrine10 күн бұрын
But is your 3D printed approximation that caps off the unknot?
@nosajc0okies36410 күн бұрын
This is IGNORANT. Flat plain of reality expressed in a wave form sitting with a magnetic red and blue shift not a donut earth you Burro. This is like saying the Earth is Flat because its not spherical but we have mountains, bad start to an argument. A Plain of reality with a magnetic center forming a toroidal field with a red and blue shift meaning there is a plain of reality underneath us that could possibly be referred to as the "upside down" like in stranger things. I've seen this similar concept used in many instances now like in Bleach the anime with Wako Mundo and the Los Espada ripping through the sky and creating a portal between worlds, the thing we once referred to as "Hell", which could be either the blue shift, or the red shift. imagine a wave form as a 3d mesh for our plain of reality that isnt so FLAT like the idea everyone keeps getting themselves glued to. Controlled opposition, counter intelligent, play from both sides to manipulate information, because polarization is effective, like "RACISM".... Pepsi cola anyone..... find the SILVER LINING...... Nobody who is Honestly reconsidering our current model of our Earth is saying that their ideas are concrete and disprovable, thats why there is a discussion and debate, where the science community literally acts like the LGBTCQXYZ community in denouncing any opposition by saying you're stupid. PEOPLE are soooooooooooooooooooooooooooooooooooo UNINTELLIGENT slurping back sugar and over consuming wheat and corn GMO products.. Sheesh right?. Nothing comes from something right atheists? Where does it go when its done, is that nothing something? it has to be because nothing is a word explaining something as nothing and that makes it something by default. You don't account for nothing unless its something, it just proves by definition we dont know wtf the nothing is but it is indeed something, we're accounting for it, the idea is used to explain our current understanding of this entire universe ffs, the big bang of nothingness, so it's not really "Nothing". Even the 0 we say it nothing, we are alienating the CIRCLE because the circle represents 0, and 1 represents our Oneness, which is funny because we Alienated that O in One already, the same 0 that is ying and yang, in the tree of life, is the same Circle and Sphere we're arguing about, and you already discount it because it represents 0 value which is nothingness again. When you say 1 instead of 0 its because you are isolating something from the whole to categorize it as a singular unit. but nothing created somthing.... No 0 is the Whole in its entirety, unity, the full circle, the loop, reincarnation, ouroboros, Something indeed created everything, more over, everything is One creation Ohmm. Even our multiplication is backwards logic, the satan of things, in order to multiply your splitting one into many creating groups and categorizing, because in nature nothing just replicates itself out of nothingness action causes reaction, which is all one function happening at once. Binary code 10110100110, on and off, focus and unfocus, categorize and uncategorized, open a channel close a channel, but the channels didnt cease to exist, energy never dies it just changes form......
@ThatJay28310 күн бұрын
i like the transition between blur and clear focus. it also adds to the computer-generated look by making it look like the next fractal iterations are loading in
@SierraSierraFoxtrot11 күн бұрын
What is the material used in the knot at 0:36?
@samkadel818512 күн бұрын
This is the big difference between nälbinding and knit/crochet - if you don't bind off the end of a knit/crochet piece and tie the beginning and end together, you can pull the entire thing apart. Nälbinding, however, cannot be undone without having access to at least one cut end.
@acuddlyheadcrab12 күн бұрын
OMG all the printed out knots are so adorable, i want them!!
@LostieTrekieTechie14 күн бұрын
The infinitely long Slipknot looks like two "bites" or half loops, with their ends trailing off to infinity.
@bwayagnes15 күн бұрын
I wish you actually solved the puzzle on video, for those of us who can’t have it
@peterennals726815 күн бұрын
Why does the looping pattern on the infinite knot need to get smaller and smaller?
@saulschleimer203615 күн бұрын
Because it needs to converge to a point. This is similar to the discussion of the topologist's sine curve.
@Piocoto12315 күн бұрын
I find this too amazing
@DanielLCarrier15 күн бұрын
That's wild!
@Breadcrochets16 күн бұрын
As a crochet artist, I can attest that even a finite amount of slip knots can be impossible to frog (undo). Eventually the yarn frays to the point that it felts into itself and becomes a tangled nightmare
@margheritaparacini77295 күн бұрын
I felt that... Pun not intended
@G8tr15225 күн бұрын
you forgot to use infinitely thin yarn
@lauriesims911616 күн бұрын
Nalbinding
@eccentricity2316 күн бұрын
I was nodding along happily until 7:06, and then it turned into topology word salad and you completely lost me
@strangeWaters16 күн бұрын
Beautiful visualization of a group homomorphism
@HaveANceDay16 күн бұрын
Mathematicians discover crochet
@yawnberg16 күн бұрын
Thumbnail looks like the knots in Noroi
@lucascastillo930116 күн бұрын
my favorite group of5 and the rest of the 13 arc solids and the 13 cat solids and the 92 johnson solids
@JavSusLar16 күн бұрын
I like your videos, but please turn the volume off the foreground music a little down, at least until it becomes a background music. :-)
@Culpride16 күн бұрын
who else already seess IKEA making this design into an adjustable lampshade?
@Culpride16 күн бұрын
To put them together I would take out the gears, put all horizontal stix in the core (stack themfrom lowest to highest), then stick the vertical stix in a fixture or a lump of putty on the table. That way I could (hopefully) line up all the stix in equal llength and have one hand free to reinstall the gears, locking everything together.
@CaptchaSamurai16 күн бұрын
The blurred border between animation and camera footage makes a distinctive style. I love it, thanks for the video :)
@KalijahAnderson16 күн бұрын
If you treat it like a supertask, where you can complete an infinite series of actions in a finite time, why wouldn't you be able to unknot this one?
@saulschleimer203616 күн бұрын
Because the ambient isotopy of the knot (its motion in three-space) does not change the fundamental group of the knots "complement". Note that the ambient isotopy _can_ perform supertasks as long as they happen on smaller and smaller scales. See the discussion in the video about the (modified) topologist's sine curve. EDIT: Here is another answer. Look at the string held by Henry at timestamp 8:47. Pretend that it is made of rubber and can stretch. He holds on to the string and you preform the supertask - you undo the k^th "bite" of the slipknot in time interval [1/2^{k+1}, 1/2^k]. If you draw the pictures, you'll find that there are 2^k points of the rubbery string that are now distance 1/2^k (say) from the wild point. So, in the limit, there are infinitely many points of the rubbery string in contact with the wild point. But an ambient isotopy can't do that...
@KalijahAnderson16 күн бұрын
@@saulschleimer2036 I think I need to study this more. I have to admit here that I don't know enough about this yet to actually understand your answer. I was seeing it as the same as counting an infinite number of balls, just having an infinite number of loops to undo. Thank you for illuminating where my lack of knowledge is so I can go fill in that area of knowledge. Edit, correcting auto-correct.
@ingolifs16 күн бұрын
r/knotsgonewild
@jupiter-blue16 күн бұрын
0:23 "Are we allowed to tie infinitely many tangles in a piece of string?" My wired earbuds: "Hold my topology!"
Пікірлер
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!
In H3 what would be the problem with aligning the view perpendicular to the ground each frame? For every point where the user/player could be in hyperbolic space, there should be a straight line perpendicular to the ground and going through said point, right? If the ground is flat of course
I love how in the intro, the real life footage perfectly matches with the simulated footage afterwards. What I believe he did was reverse the footage of the first clip, first starting off with the 3D model in the precise position and then picking it up and turning it.
That was the trick, yes!
@@henryseg so sneaky and elegant!
You need infinity tangles to unknot the wild knot??! I wish I had that much time...
I really love this! Could easily be the beginning of a cool movie concept starring various famous math and science KZreadrs
So cool
But is your 3D printed approximation that caps off the unknot?
This is IGNORANT. Flat plain of reality expressed in a wave form sitting with a magnetic red and blue shift not a donut earth you Burro. This is like saying the Earth is Flat because its not spherical but we have mountains, bad start to an argument. A Plain of reality with a magnetic center forming a toroidal field with a red and blue shift meaning there is a plain of reality underneath us that could possibly be referred to as the "upside down" like in stranger things. I've seen this similar concept used in many instances now like in Bleach the anime with Wako Mundo and the Los Espada ripping through the sky and creating a portal between worlds, the thing we once referred to as "Hell", which could be either the blue shift, or the red shift. imagine a wave form as a 3d mesh for our plain of reality that isnt so FLAT like the idea everyone keeps getting themselves glued to. Controlled opposition, counter intelligent, play from both sides to manipulate information, because polarization is effective, like "RACISM".... Pepsi cola anyone..... find the SILVER LINING...... Nobody who is Honestly reconsidering our current model of our Earth is saying that their ideas are concrete and disprovable, thats why there is a discussion and debate, where the science community literally acts like the LGBTCQXYZ community in denouncing any opposition by saying you're stupid. PEOPLE are soooooooooooooooooooooooooooooooooooo UNINTELLIGENT slurping back sugar and over consuming wheat and corn GMO products.. Sheesh right?. Nothing comes from something right atheists? Where does it go when its done, is that nothing something? it has to be because nothing is a word explaining something as nothing and that makes it something by default. You don't account for nothing unless its something, it just proves by definition we dont know wtf the nothing is but it is indeed something, we're accounting for it, the idea is used to explain our current understanding of this entire universe ffs, the big bang of nothingness, so it's not really "Nothing". Even the 0 we say it nothing, we are alienating the CIRCLE because the circle represents 0, and 1 represents our Oneness, which is funny because we Alienated that O in One already, the same 0 that is ying and yang, in the tree of life, is the same Circle and Sphere we're arguing about, and you already discount it because it represents 0 value which is nothingness again. When you say 1 instead of 0 its because you are isolating something from the whole to categorize it as a singular unit. but nothing created somthing.... No 0 is the Whole in its entirety, unity, the full circle, the loop, reincarnation, ouroboros, Something indeed created everything, more over, everything is One creation Ohmm. Even our multiplication is backwards logic, the satan of things, in order to multiply your splitting one into many creating groups and categorizing, because in nature nothing just replicates itself out of nothingness action causes reaction, which is all one function happening at once. Binary code 10110100110, on and off, focus and unfocus, categorize and uncategorized, open a channel close a channel, but the channels didnt cease to exist, energy never dies it just changes form......
i like the transition between blur and clear focus. it also adds to the computer-generated look by making it look like the next fractal iterations are loading in
What is the material used in the knot at 0:36?
This is the big difference between nälbinding and knit/crochet - if you don't bind off the end of a knit/crochet piece and tie the beginning and end together, you can pull the entire thing apart. Nälbinding, however, cannot be undone without having access to at least one cut end.
OMG all the printed out knots are so adorable, i want them!!
The infinitely long Slipknot looks like two "bites" or half loops, with their ends trailing off to infinity.
I wish you actually solved the puzzle on video, for those of us who can’t have it
Why does the looping pattern on the infinite knot need to get smaller and smaller?
Because it needs to converge to a point. This is similar to the discussion of the topologist's sine curve.
I find this too amazing
That's wild!
As a crochet artist, I can attest that even a finite amount of slip knots can be impossible to frog (undo). Eventually the yarn frays to the point that it felts into itself and becomes a tangled nightmare
I felt that... Pun not intended
you forgot to use infinitely thin yarn
Nalbinding
I was nodding along happily until 7:06, and then it turned into topology word salad and you completely lost me
Beautiful visualization of a group homomorphism
Mathematicians discover crochet
Thumbnail looks like the knots in Noroi
my favorite group of5 and the rest of the 13 arc solids and the 13 cat solids and the 92 johnson solids
I like your videos, but please turn the volume off the foreground music a little down, at least until it becomes a background music. :-)
who else already seess IKEA making this design into an adjustable lampshade?
To put them together I would take out the gears, put all horizontal stix in the core (stack themfrom lowest to highest), then stick the vertical stix in a fixture or a lump of putty on the table. That way I could (hopefully) line up all the stix in equal llength and have one hand free to reinstall the gears, locking everything together.
The blurred border between animation and camera footage makes a distinctive style. I love it, thanks for the video :)
If you treat it like a supertask, where you can complete an infinite series of actions in a finite time, why wouldn't you be able to unknot this one?
Because the ambient isotopy of the knot (its motion in three-space) does not change the fundamental group of the knots "complement". Note that the ambient isotopy _can_ perform supertasks as long as they happen on smaller and smaller scales. See the discussion in the video about the (modified) topologist's sine curve. EDIT: Here is another answer. Look at the string held by Henry at timestamp 8:47. Pretend that it is made of rubber and can stretch. He holds on to the string and you preform the supertask - you undo the k^th "bite" of the slipknot in time interval [1/2^{k+1}, 1/2^k]. If you draw the pictures, you'll find that there are 2^k points of the rubbery string that are now distance 1/2^k (say) from the wild point. So, in the limit, there are infinitely many points of the rubbery string in contact with the wild point. But an ambient isotopy can't do that...
@@saulschleimer2036 I think I need to study this more. I have to admit here that I don't know enough about this yet to actually understand your answer. I was seeing it as the same as counting an infinite number of balls, just having an infinite number of loops to undo. Thank you for illuminating where my lack of knowledge is so I can go fill in that area of knowledge. Edit, correcting auto-correct.
r/knotsgonewild
0:23 "Are we allowed to tie infinitely many tangles in a piece of string?" My wired earbuds: "Hold my topology!"
In germany we call this Kabelsalat (Cable salad)