#knottheory — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #knottheory, aggregated by home.social.
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Why don't mathematicians in knot theory just do a projective transformation on the knot so it has two ends going to infinity? Then you won't have to faff about with explaining how maths knots are closed loops unlike ordinary knots.
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Why don't mathematicians in knot theory just do a projective transformation on the knot so it has two ends going to infinity? Then you won't have to faff about with explaining how maths knots are closed loops unlike ordinary knots.
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Ever wondered what four dimensions really mean? Discover why knots can’t exist in 4D space — and how mathematicians use cubes and clever analogies to understand higher dimensions. https://english.mathrubhumi.com/technology/science/why-cant-you-tie-knots-in-four-dimensions-a-mathematician-explains-o59ljlhj?utm_source=dlvr.it&utm_medium=mastodon #Mathematics #FourDimensions #SpaceTime #KnotTheory #ScienceExplained
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not to be confused with Bing (2009)
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not to be confused with Bing (2009)
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Unpicking How to Measure the Complexity of Knots https://www.wired.com/story/unpicking-how-to-measure-the-complexity-of-knots/ #Science/PhysicsandMath #KnotTheory #Science
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Unpicking How to Measure the Complexity of Knots https://www.wired.com/story/unpicking-how-to-measure-the-complexity-of-knots/ #Science/PhysicsandMath #KnotTheory #Science
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Unpicking How to Measure the Complexity of Knots
https://web.brid.gy/r/https://www.wired.com/story/unpicking-how-to-measure-the-complexity-of-knots/
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Unpicking How to Measure the Complexity of Knots
https://web.brid.gy/r/https://www.wired.com/story/unpicking-how-to-measure-the-complexity-of-knots/
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Century-old conjecture in knot theory found to not hold.
#Knots #KnotTheory #math
https://youtu.be/Dx7f-nGohVc -
Century-old conjecture in knot theory found to not hold.
#Knots #KnotTheory #math
https://youtu.be/Dx7f-nGohVc -
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A Simple Way to Measure Knots Has Come Unraveled
https://www.quantamagazine.org/a-simple-way-to-measure-knots-has-come-unraveled-20250922/
#HackerNews #SimpleKnots #KnotTheory #ScienceNews #QuantumMagazine #Measurement
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A Simple Way to Measure Knots Has Come Unraveled
https://www.quantamagazine.org/a-simple-way-to-measure-knots-has-come-unraveled-20250922/
#HackerNews #SimpleKnots #KnotTheory #ScienceNews #QuantumMagazine #Measurement
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New Knot Theory Discovery Overturns Long-Held Mathematical Assumption
#HackerNews #KnotTheory #Discovery #Mathematics #Science #News #Innovation
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New Knot Theory Discovery Overturns Long-Held Mathematical Assumption
#HackerNews #KnotTheory #Discovery #Mathematics #Science #News #Innovation
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Knot theory news:
Mark Brittenham & Susan Hermiller: 'Unknotting number is not additive under connected sum': https://arxiv.org/abs/2506.24088
If you have a knot tied in a loop of string then the 'unknotting number' is the number of times you would need to pass the string through itself in order to untie it. It was an old conjecture that the unknotting number of two knots tied in the same piece of string was just the sum of the unknotting numbers of the two knots individually. But this result shows that it can be easier to undo two knots when they're both tied in the same loop than it would be if they were each tied in separate loops.
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Knot theory news:
Mark Brittenham & Susan Hermiller: 'Unknotting number is not additive under connected sum': https://arxiv.org/abs/2506.24088
If you have a knot tied in a loop of string then the 'unknotting number' is the number of times you would need to pass the string through itself in order to untie it. It was an old conjecture that the unknotting number of two knots tied in the same piece of string was just the sum of the unknotting numbers of the two knots individually. But this result shows that it can be easier to undo two knots when they're both tied in the same loop than it would be if they were each tied in separate loops.
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#Knoten Fertigkeit
aus dem Wurf (oder: aus der lockeren Hand) herausNr. 1 ist unter Seglern bekannt als #Webeleinenstek oder #Fenderknoten #Klemmknoten
Nr. 2 sieht nach #Palstek aus
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#Knoten Fertigkeit
aus dem Wurf (oder: aus der lockeren Hand) herausNr. 1 ist unter Seglern bekannt als #Webeleinenstek oder #Fenderknoten #Klemmknoten
Nr. 2 sieht nach #Palstek aus
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I finally learned how to crochet! Why did o one explain how trippy this is! I can just will things into existence with string and hook? In 3d? Contemplating how each movement adds to the pattern, how the loops and knots function- it's crazy. This is surprisingly mathy. I'm so obsessed.
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I finally learned how to crochet! Why did o one explain how trippy this is! I can just will things into existence with string and hook? In 3d? Contemplating how each movement adds to the pattern, how the loops and knots function- it's crazy. This is surprisingly mathy. I'm so obsessed.
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fellow knitters: when i use the long-tail cast-on, my plied yarns untwist, badly. what's wrong with my technique? #knitting #advice #yarn #knottheory #maybe
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fellow knitters: when i use the long-tail cast-on, my plied yarns untwist, badly. what's wrong with my technique? #knitting #advice #yarn #knottheory #maybe
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I think Knot Theory says that neither of these is actually in a knot, but what about the overall joining of the two? Is that a knot? Or does this sort of situation have some other specific name?
Two unbroken loops woven together but not linked like a chain.
The closest similar thing I could think of is Borromean rings. This seems different to me though.
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I think Knot Theory says that neither of these is actually in a knot, but what about the overall joining of the two? Is that a knot? Or does this sort of situation have some other specific name?
Two unbroken loops woven together but not linked like a chain.
The closest similar thing I could think of is Borromean rings. This seems different to me though.
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A little pure #CSS 3D demo I made on @codepen last year: torus knot out of neon tiles https://codepen.io/thebabydino/pen/poqmrNg
I saw this @beesandbombs .gif https://x.com/beesandbombs/status/1497594041164185608 and got the idea I could CSS something like it, but then I never got to posting it publicly...
#torusknot #3D #geometry #topology #knotTheory #maths #mathematics #cssMaths #code #coding #frontend #web #dev #webDev #webDevelopment #cssTransforms
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A little pure #CSS 3D demo I made on @codepen last year: torus knot out of neon tiles https://codepen.io/thebabydino/pen/poqmrNg
I saw this @beesandbombs .gif https://x.com/beesandbombs/status/1497594041164185608 and got the idea I could CSS something like it, but then I never got to posting it publicly...
#torusknot #3D #geometry #topology #knotTheory #maths #mathematics #cssMaths #code #coding #frontend #web #dev #webDev #webDevelopment #cssTransforms
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I'm sure I will think of this video each time I will tie a knot on my shoes or during sailing from now on :) Thanks for the link @len
"There is an entire branch of math simply devoted to knots – and it has changed the world. We’ll rope you in."
🎞 https://invidious.fdn.fr/watch?v=8DBhTXM_Br4 -
I'm sure I will think of this video each time I will tie a knot on my shoes or during sailing from now on :) Thanks for the link @len
"There is an entire branch of math simply devoted to knots – and it has changed the world. We’ll rope you in."
🎞 https://invidious.fdn.fr/watch?v=8DBhTXM_Br4 -
I'm having a bit of fun seeing how many versions of unknots I can twist this rubber bracelet thing into before I go to bed.
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I'm having a bit of fun seeing how many versions of unknots I can twist this rubber bracelet thing into before I go to bed.
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Where could I find a table of knot-sums, or one of different factorings of composite #knots?
I'm interested in finding composite knots that can be formed in more than one way, which seems like it should be a thing. I can find lots of enumerations but no "addition tables".
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Where could I find a table of knot-sums, or one of different factorings of composite #knots?
I'm interested in finding composite knots that can be formed in more than one way, which seems like it should be a thing. I can find lots of enumerations but no "addition tables".
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Does anyone know #KnotTheory by any chance?
I tried my hand at the recognition problem and had some insight as to how to trivially solve it, as well as generate all knots. But being such an old and hard problem im skeptical if i might be missing something.
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Does anyone know #KnotTheory by any chance?
I tried my hand at the recognition problem and had some insight as to how to trivially solve it, as well as generate all knots. But being such an old and hard problem im skeptical if i might be missing something.
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I like that a "not knot" is a thing in #KnotTheory. I also like that knot theory is even a thing.
I bet a lot of fun limericks could be written about not knots.
I wonder if knot theory was a thing before #StringTheory came along? 🤔
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I like that a "not knot" is a thing in #KnotTheory. I also like that knot theory is even a thing.
I bet a lot of fun limericks could be written about not knots.
I wonder if knot theory was a thing before #StringTheory came along? 🤔
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Which of these are unknots?
https://www.futilitycloset.com/2023/11/11/a-tangle/Does there exist an online interactive knot diagram manipulative thingie?
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Which of these are unknots?
https://www.futilitycloset.com/2023/11/11/a-tangle/Does there exist an online interactive knot diagram manipulative thingie?
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Yet another great #Veritasium video! ❤️💕
How The Most Useless Branch of #Math Could Save Your Life https://www.youtube.com/watch?v=8DBhTXM_Br4 #knottheory #topology #watching📺
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knottingham - a website that allows you to draw and manipulate knot diagrams, identify knots, compute Alexander polynomials, and output tikz and svg.
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Shout out to #mathstodon to say hello. I majored in math at #ReedCollege, decades ago now but I do try to keep up now and then. My undergrad thesis was on #KnotTheory (#algebraic #topology). My father was an applied mathematician in aerospace. These days I make a living as a software architect and it is the rare and joyous day when I get to use any bit of math.
