Henry Segerman
Henry Segerman
  • Видео 250
  • Просмотров 23 850 643
Wild knots
A video about some infinitely complicated, fractal knots.
The paper by Ralph Fox is:
"A remarkable simple closed curve", Ann. of Math., (2) 50, 264-265.
www.jstor.org/stable/1969450
Hsin-Po Wang ( symbolone1) came up with this awesome animation of undoing the wild slipknot (which is, of course, impossible):
www.desmos.com/3d/ng4mkltbi3
Wild knot:
Shapeways - shpws.me/TL3p
Printables - www.printables.com/model/889143-wild-knot
Wild slipknot:
Shapeways - shpws.me/TL3q
Printables - www.printables.com/model/889700-wild-slipknot
Background music by Quiet Bison:
open.spotify.com/artist/5PmmaiHnrygDvhj3kaPT0f
quietbison
The Achilles image is from en.wikipedia.org/wiki/Achilles#/medi...
Просмотров: 76 654

Видео

Symmetry and gears: Six axis racks
Просмотров 201 тыс.5 месяцев назад
A kinetic sculpture in which 12 sticks with 24 racks interact with 12 gears. Print one yourself: www.printables.com/model/736088-six-axis-racks Print the diagonal racks demo: www.printables.com/model/736078-diagonal-racks-demo
Real-life fractal tree zoom
Просмотров 89 тыс.6 месяцев назад
3D print supplied by JLC3DP. Check them out at jlc3dp.com/?from=henry to let them know you came from my video. Fractal Tree No. 2, by Robert Fathauer. www.robertfathauer.com/FractalTree2.html Copyright 2007 Robert Fathauer, used with permission. 3D file (good luck printing this on a filament based printer!): www.printables.com/model/688795-fractal-tree 00:00 Trees and fractals 00:43 Robert Fath...
Slide-glide cyclides
Просмотров 218 тыс.7 месяцев назад
3D printing files: www.printables.com/model/651714-slide-glide-cyclides Mathologer video: ruclips.net/video/5q_sfXY-va8/видео.html Andrew Kepert's playlist on lunes and cyclides: ruclips.net/p/PL9JP5WCX_XJY9GmMO-kotRR5bRYOPOtn9
Recursive racks
Просмотров 1000 тыс.10 месяцев назад
An expanding recursive mechanism, plus some variants. You can download the files to print these mechanism for yourself from www.printables.com/model/557760-recursive-racks
Using topology to close a rubber band bracelet
Просмотров 480 тыс.Год назад
With Sabetta Matsumoto and Saul Schleimer. It seems impossible, but you can make a giant loop out of lots of little (not very stretchy) loops. So you can wrap a broken suitcase using hair ties, without any cutting or knotting. Or you can finish off a rubber band bracelet without using a clip and, again, without any cutting or tying knots. We explain the problem, the solution, and some of the ma...
Lost in the Multiverse Library with @TomRocksMaths
Просмотров 10 тыс.Год назад
Tom from @TomRocksMaths and I get lost in a four-fold branched cover of the library at St Edmund's Hall, Oxford. Tom and I also made an explanation video describing what's going on - you can see it over on Tom's channel at ruclips.net/video/32iMuqq4MI4/видео.html
The Ames room optical illusion
Просмотров 57 тыс.Год назад
A version of the Ames room at a scale that works for Lego minifigures. 3D files: www.printables.com/model/491127-ames-room-optical-illusion
Real-life fractal zoom
Просмотров 1,1 млнГод назад
Making a real-life fractal zoom. Follow-up video in which I also pull focus!: ruclips.net/video/uH8w7I1Og1I/видео.html Feliks Konczakowski's work: konczakowski.tumblr.com/ My project with Paul-Olivier Dehaye: www.segerman.org/printgallery/ (Bart de Smit turned our logarithmic image into the looping video.) The 3d print is available to buy from shpws.me/Ttp5 The file is available to download fro...
Screw/screw gearing
Просмотров 1,7 млнГод назад
Exploring gears with different kinds of motion. You can buy a copy of the screw/screw gearing model from Shapeways at shpws.me/Ts69 You can also try printing out your own. You can download the files from www.printables.com/model/519173-screwscrew-gearing
Geared cube net
Просмотров 111 тыс.Год назад
Available from shpws.me/TqA2 Joint work with Sabetta Matsumoto.
Knotty Analog Oscilloscope Art
Просмотров 32 тыс.Год назад
Matthias Goerner shows me his oscilloscope-generated knot art, made entirely by analog means. Our discussion about what "analog" means: ruclips.net/video/j2YCGE7FXj8/видео.html Circuit diagrams: unhyperbolic.org/knotifier.html 0:00 Intro 3:14 What is knotty analog oscilloscope art? 7:00 Oscilloscope as Etch-A-Sketch 8:43 Integrator 10:24 Drawing a circle 14:17 Spirographs 16:39 Drawing a torus ...
Scissors NOT gate
Просмотров 526 тыс.Год назад
Scissors NOT gate
Gear cube and Brain gear
Просмотров 1,1 млнГод назад
Gear cube and Brain gear
Knots in disguise
Просмотров 188 тыс.Год назад
Knots in disguise
Helix cube puzzle
Просмотров 141 тыс.Год назад
Helix cube puzzle
Impossible triangles
Просмотров 299 тыс.Год назад
Impossible triangles
Genus two holonomy
Просмотров 127 тыс.Год назад
Genus two holonomy
Kinetic cyclic scissors
Просмотров 282 тыс.Год назад
Kinetic cyclic scissors
Cannon-Thurston maps: naturally occurring space-filling curves
Просмотров 211 тыс.Год назад
Cannon-Thurston maps: naturally occurring space-filling curves
The pi/4 polyhedron
Просмотров 90 тыс.2 года назад
The pi/4 polyhedron
Why don't Rubik's cubes fall apart?
Просмотров 191 тыс.2 года назад
Why don't Rubik's cubes fall apart?
From Sphericons to Countdown dice
Просмотров 29 тыс.2 года назад
From Sphericons to Countdown dice
Grabber mechanism
Просмотров 18 тыс.2 года назад
Grabber mechanism
Continental drift puzzle
Просмотров 99 тыс.2 года назад
Continental drift puzzle
Puzzling degrees of freedom
Просмотров 81 тыс.2 года назад
Puzzling degrees of freedom
More circles on a sphere of cubes
Просмотров 252 тыс.2 года назад
More circles on a sphere of cubes
Where do these circles come from?
Просмотров 3,2 млн2 года назад
Where do these circles come from?
Holonomy mazes without a maze
Просмотров 24 тыс.2 года назад
Holonomy mazes without a maze
A better d6 than the cube?
Просмотров 22 тыс.2 года назад
A better d6 than the cube?

Комментарии

  • @christinabalfoort2126
    @christinabalfoort2126 9 часов назад

    My last two brain cells trying to comprehend this entire video: “🕺🏼🕺🏼” “what the sigmity shigma is going on?”

  • @MWDFrancis
    @MWDFrancis 23 часа назад

    Pretty sure this is just called crochet.

  • @gagebarry6938
    @gagebarry6938 День назад

    I had a tough time following the undefined jargon towards the end. I’ve been curious about knot theory so this was very interesting.

    • @henryseg
      @henryseg День назад

      Yeah, I couldn’t give more than a taste of the more technical stuff. There’s a good chunk of a course in algebraic topology in really understanding the fundamental group.

  • @mateusnamur
    @mateusnamur 2 дня назад

    you are a fucking genius

  • @mateusnamur
    @mateusnamur 2 дня назад

    OMFG I'M IN ECSTASY

  • @lettydragon4299
    @lettydragon4299 2 дня назад

    Shoutout to all the Furries who are fascinated by stuff like this. what? get your mind out of the gutter :3

  • @Johan-rm6ec
    @Johan-rm6ec 4 дня назад

    Put rain on it.

  • @lynneth100
    @lynneth100 4 дня назад

    Its look like donut i will eat this💀💀💀

  • @MichaelDarrow-tr1mn
    @MichaelDarrow-tr1mn 5 дней назад

    for 2 players you have one die with 1 and 4, and the other die has 2 and 3.

  • @MichaelDarrow-tr1mn
    @MichaelDarrow-tr1mn 5 дней назад

    fun fact: parity actually still exists. any time a tile goes around the center it rotates 90 degrees, which lets you keep track of parity. but what if you rotate the puzzle 90 degrees? can you solve it back to normal after rotating 90 degrees? i think it has to be an even-parity move, as doing it 5 times gets you back to the original state.

  • @INameIsGood
    @INameIsGood 5 дней назад

    Infinity is very hard to think about, very easy to make "logical" errors with it

  • @2-BIT_OfficialGameDEV
    @2-BIT_OfficialGameDEV 5 дней назад

    Wow a combination of beyblade and tom and jerry punch gun

  • @aze4308
    @aze4308 5 дней назад

    nice

  • @roaddux
    @roaddux 5 дней назад

    Il a résolu la quadrature du cercle 🤯

  • @user-nt7os5cg7j
    @user-nt7os5cg7j 5 дней назад

    wtf is he talking about?

  • @selfactualizer2099
    @selfactualizer2099 8 дней назад

    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.

    • @henryseg
      @henryseg 8 дней назад

      In mathematical knot theory, knots are simple closed curves in space. They are infinitely thin. This is, of course, different from knots in real life.

  • @MichaelDarrow-tr1mn
    @MichaelDarrow-tr1mn 8 дней назад

    Please make more of these

  • @Eeevonn
    @Eeevonn 8 дней назад

    Just shake the slip knot to untie it

  • @paulklee5790
    @paulklee5790 8 дней назад

    Isn’t the Universe wonderful!

  • @DreadedEgg
    @DreadedEgg 9 дней назад

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

  • @uridavidson5
    @uridavidson5 10 дней назад

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

  • @Night-o-trix
    @Night-o-trix 10 дней назад

    Like fr 😑

  • @Miniellipse
    @Miniellipse 11 дней назад

    Well done. ❤

  • @ultraali453
    @ultraali453 11 дней назад

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

  • @XatxiFly
    @XatxiFly 12 дней назад

    it’s SO COOL

  • @tuckertucker1
    @tuckertucker1 15 дней назад

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

  • @Foivos_Apollon
    @Foivos_Apollon 15 дней назад

    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.

  • @kiwimanta7206
    @kiwimanta7206 15 дней назад

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

  • @zsofi497
    @zsofi497 16 дней назад

    Glass/transparent paterial or maybe strings?

  • @SwingcopterGD
    @SwingcopterGD 16 дней назад

    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

  • @TesserId
    @TesserId 16 дней назад

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

  • @TesserId
    @TesserId 16 дней назад

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

  • @TesserId
    @TesserId 16 дней назад

    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.

    • @TesserId
      @TesserId 16 дней назад

      My ternary cube tree is one that I came up with on my own with no prior hinting that such a thing was possible. That means the date of my first posting, May 24, 2015, means the concept is at least 9-years old (ruclips.net/video/8djZV2wtMXg/видео.htmlsi=3ssx9b_hVoS1MfgE, with a claim that I came up with it in 2012). Though, I wouldn't be at all surprised if something out there pre-dates this. What I would be most interested to find out is if anyone came up with the Sierpinski Triangle slice before me (which has some interesting variations, ruclips.net/user/shortsVzwvcMIDKjI?si=lYS-CdvBVWwi27HL).

    • @TesserId
      @TesserId 16 дней назад

      Crap, now you've got me thinking whether I can get a smooth zoom in the one's I've done most recently with the video game, Sauerbraten (yet to be posted). Something tells me that I won't get a really clean zoom, particularly with you're finding that zoom speed is a big deal, and the video game only has constant speed. Won't free me from thinking about it though.

  • @joshuarbholden
    @joshuarbholden 17 дней назад

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

    • @henryseg
      @henryseg 16 дней назад

      I made them myself years ago. I found that one neodymium paired with one regular magnet together had the right amount of force.

  • @isaacshultz8128
    @isaacshultz8128 18 дней назад

    Imagine seeing tgis on a 3 veiw with no isometric

  • @ben_jammin242
    @ben_jammin242 18 дней назад

    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

  • @trimeta
    @trimeta 19 дней назад

    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.

  • @prdoyle
    @prdoyle 19 дней назад

    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.

  • @TheRojo387
    @TheRojo387 21 день назад

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

  • @OnlyGoodSHHH
    @OnlyGoodSHHH 21 день назад

    so youre like a fractal expert? cooooool

  • @smoothdunes2170
    @smoothdunes2170 21 день назад

    Genetically superior d4

  • @U.Inferno
    @U.Inferno 22 дня назад

    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

  • @143685753ton22y
    @143685753ton22y 22 дня назад

    this is so fascinating

  • @davenordquist4663
    @davenordquist4663 22 дня назад

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

  • @NSHTrollingPebs
    @NSHTrollingPebs 23 дня назад

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

  • @nameloading9986
    @nameloading9986 23 дня назад

    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!

  • @KlaxontheImpailr
    @KlaxontheImpailr 23 дня назад

    Has anyone tried to make 4 dimensional Archimedian solids?

  • @azd685
    @azd685 24 дня назад

    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?