![Henry Segerman](/img/default-banner.jpg)
- Видео 250
- Просмотров 23 850 643
Henry Segerman
США
Добавлен 21 окт 2006
Mathematical making: 3D printing, dice, virtual reality, generative art, etc. Also see www.segerman.org, @henryseg
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...
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 ...
Cannon-Thurston maps: naturally occurring space-filling curves
Просмотров 211 тыс.Год назад
Cannon-Thurston maps: naturally occurring space-filling curves
Why don't Rubik's cubes fall apart?
Просмотров 191 тыс.2 года назад
Why don't Rubik's cubes fall apart?
My last two brain cells trying to comprehend this entire video: “🕺🏼🕺🏼” “what the sigmity shigma is going on?”
Pretty sure this is just called crochet.
I had a tough time following the undefined jargon towards the end. I’ve been curious about knot theory so this was very interesting.
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.
you are a fucking genius
OMFG I'M IN ECSTASY
Shoutout to all the Furries who are fascinated by stuff like this. what? get your mind out of the gutter :3
Put rain on it.
Its look like donut i will eat this💀💀💀
for 2 players you have one die with 1 and 4, and the other die has 2 and 3.
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.
Infinity is very hard to think about, very easy to make "logical" errors with it
Wow a combination of beyblade and tom and jerry punch gun
nice
Il a résolu la quadrature du cercle 🤯
wtf is he talking about?
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.
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.
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.
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).
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.
Hi, Henry! Where did you get those magnetic rope ends? Or did you make them? Thanks!
I made them myself years ago. I found that one neodymium paired with one regular magnet together had the right amount of force.
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?