[HD Upscale] Not Knot - A guide to mathematical knots in hyperbolic space

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  • Опубликовано: 21 окт 2024

Комментарии • 136

  • @josephrigor613
    @josephrigor613 3 года назад +227

    My brain hurts real bad but loops look cool

    • @TheLastGinger
      @TheLastGinger  3 года назад +19

      If you'd like your brain to hurt even further, try reading through this: "Decorative Knotting Using Trigonometric Parametrizations" by By Lindsay D Taylor
      www.mi.sanu.ac.rs/vismath/taylor2009/index.html
      Full disclosure: I don't understand the math behind those loops, but it's fascinating nonetheless :)

    • @josephrigor613
      @josephrigor613 3 года назад +10

      ​@@TheLastGinger my brain is hurting so much that i cant tell if it got more wrinkles or became a smoothie but twisty circle look pretty

    • @aniksamiurrahman6365
      @aniksamiurrahman6365 3 года назад +7

      @@TheLastGinger Now I realized that creativity is a form of masochism.

    • @VOCALCHEMY
      @VOCALCHEMY Год назад

      My brain is glowing ❤🎉

    • @JulienDavid2024
      @JulienDavid2024 Год назад

      ​@@josephrigor613No, simply put, space no longer extends to where your brain used to be.

  • @ReySkywalker2
    @ReySkywalker2 3 года назад +100

    I was so naive to think I was just gonna learn about loops when really I’m going to watch the most trippy bit or geometry, topology, math or whatever the hell this is called.

  • @protondium_8927
    @protondium_8927 3 года назад +178

    Now I know what purgatory looks like

    • @11equalsfish
      @11equalsfish 3 года назад +20

      Pugatory can't be as fun as this.

    • @protondium_8927
      @protondium_8927 3 года назад +9

      @@11equalsfish Very true. My mistake!

    • @abay1worldofficial
      @abay1worldofficial 3 года назад

      @@protondium_8927 How whold Purgatory be fun?

    • @protondium_8927
      @protondium_8927 3 года назад +4

      @@abay1worldofficial According to Dante Alighieri, there's a bitchin mountain to climb

    • @christianocampos158
      @christianocampos158 3 года назад +3

      If this is purgatory it's gonna be ok

  • @jonathansmithCrabAuthor
    @jonathansmithCrabAuthor 3 года назад +46

    The original video was trippy enough, but seeing it in HD gives takes it to a whole new level of uncanny otherworldliness.

  • @TheHypnotstCollector
    @TheHypnotstCollector 3 года назад +157

    A string walked into a bar and ordered a beer. Bartender says "Get out of here, we don't serve strings." This happened a few times. The string had an epiphany: He tied himself up like a bow in a shoe and walked into the bar and ordered a drink. "Get out of here, we don't serve strings" said the bartender. Said the string "No, I'm knot". drum roll and cymbals

    • @hkayakh
      @hkayakh 3 года назад +18

      I’m a frayed that’s knot how it works

    • @vehicleboi5598
      @vehicleboi5598 2 года назад +3

      Mathematical racism

  • @rcollosi
    @rcollosi 3 года назад +28

    "The point at the cone's tip is special. It's called the cone point."
    Gee, who woulda guessed

  • @thetwelfth9987
    @thetwelfth9987 2 года назад +45

    From an animation perspective this looks pretty advanced for the time it was made in, it came out four years before Toy Story.

  • @dragovenom6798
    @dragovenom6798 3 года назад +10

    Sometimes it’s easier to understand something by looking at what it’s knot

  • @Alefen
    @Alefen 3 года назад +51

    2:21 That cat doesn’t sound like it’s OK!

  • @hotelmario510
    @hotelmario510 3 года назад +60

    I don't understand the geometry of it at all but I do love the relaxing synth music. Something very dreamlike about it.

  • @TheKingOfNachosTM
    @TheKingOfNachosTM 3 года назад +46

    Finally, my left ear can learn about knots as well

  • @kattenelvis1778
    @kattenelvis1778 3 года назад +27

    By the end I just sat there, speechless. Amazing. Did not realize that hyperbolic space was this closely related to knot theory. I need to delve into these topics ones I've done some more Algebraic Topology.

  • @Howtoeatrocks
    @Howtoeatrocks 3 года назад +19

    Wait this isn't the Mario 64 half a press speedrun

  • @johanandreassen9602
    @johanandreassen9602 3 года назад +21

    I got some "How to turn a sphere inside out" vibes from watching this

    • @yeah2155
      @yeah2155 3 года назад +9

      Same company

    • @garlic_bread180
      @garlic_bread180 3 года назад +8

      both the videos are from The Geometry Centre! :D they have more videos like this btw

    • @johanandreassen9602
      @johanandreassen9602 3 года назад

      @@garlic_bread180 I checked their website but could only seem to find this video, the sphere video and another one (which was amazing btw). Do they have any more videos that you know of?

    • @FigureFarter
      @FigureFarter 3 года назад +1

      @@johanandreassen9602 Nope, but the other one was called "The Shape of Space"

    • @Quirkykitty
      @Quirkykitty 3 года назад

      the god teacher has returned for another day of teaching complex topics that make people become a god.

  • @poweradereal
    @poweradereal Год назад +1

    i am so happy that one of my favourite youtube videos of all time is look good

  • @Korn656
    @Korn656 3 года назад +23

    10:23 Suddenly Gold Experience Requiem's ability become child's play

  • @joyoshish
    @joyoshish 3 года назад +3

    This is the best use of animation to explain maths! 🙌

  • @lunyxappocalypse7071
    @lunyxappocalypse7071 8 месяцев назад +1

    This reminds me of the videogame Monument Valley. The people living there had a dimension akin to a hyperbolic space, which they manipulated with their third eye and powerful artifacts.
    Eventually, it was that very technology that was their downfall.

  • @roccoleader279
    @roccoleader279 2 года назад +2

    You are a saint, thank you for upscaling this video

  • @ryujiokubo2563
    @ryujiokubo2563 2 года назад +2

    Need more videos of this genre

  • @ambylotl
    @ambylotl 3 года назад +7

    ... Im sorry- do mathematicians just regularly deal with lovecraftian horrors made out of numbers and just chose not to tell us?

  • @evanev7
    @evanev7 3 года назад +9

    Thank you! This was really cool to watch and I didn't notice the upscale until I finished the vide, 10/10!

  • @sleepisamyth
    @sleepisamyth 3 года назад +2

    This was really intriguing. I'm gonna see if I can find more on hyperbolic space

  • @SuperIdiotMan00
    @SuperIdiotMan00 2 года назад +2

    Now we need a follow-up showing the complements of other knots and links.

  • @Ducky-lb2hk
    @Ducky-lb2hk 3 года назад

    I don’t fuckin know what hyperbolic space has to do with knots but my brain will remember this information for no reason from now on

  • @tylera5598
    @tylera5598 3 года назад +2

    this is so surreal I love it

  • @Quirkykitty
    @Quirkykitty 3 года назад +1

    The entity woman has returned to mess with our minds!

  • @SaItogaming202
    @SaItogaming202 3 года назад +2

    "welcome to the exibit of geometry and knots!" **breath**

  • @TheFinalFrontiersman
    @TheFinalFrontiersman 3 года назад +2

    This video took my brain apart and forgot to put it back together

  • @KittenPinkamations
    @KittenPinkamations 3 года назад +2

    Oh this is gonna be a trippp

  • @zippienippi
    @zippienippi Год назад

    The music at the end low-key slaps

  • @mateuszostrowski6958
    @mateuszostrowski6958 3 года назад +9

    Where can i find more of these tyoe videos

    • @TheLastGinger
      @TheLastGinger  3 года назад +12

      While I don't have anymore knot related videos, I can share some videos related to topology!
      I would recommend Arnaud Chéritat (ruclips.net/channel/UCzp3-A4cjdNmeYzeTCdK1FA). He is a French Mathematician who occasionally posts topology videos online )
      Additionally you might also be interested in 3Blue1Brown. The following is a link to one of my favorites, "Who cares about topology? (Inscribed rectangle problem)" (ruclips.net/video/AmgkSdhK4K8/видео.html)
      And finally, if you haven't watched it yet, there is also _Outside In - How to turn a sphere inside out_ , that I've shared on my channel. It's my absolute favorite math video.
      Hope this helps! :)

  • @RemiliaVampire
    @RemiliaVampire 2 года назад +1

    imagine being an animator and this script gets dropped on your desk

  • @igorjosue8957
    @igorjosue8957 3 года назад +3

    the girl: whe will learn about knots
    also the girl: *explaining about how hyperbolic space works

  • @JacobSegaNerd
    @JacobSegaNerd 3 года назад +3

    1:35 Sonic is doing a Spin-Dash.

  • @imreplyingtothiscomment2378
    @imreplyingtothiscomment2378 3 года назад +1

    Boi I sure hope they make a short film about a circles and spheres

  • @tylera5598
    @tylera5598 3 года назад +3

    whoever came up with had to be high on at least like 5 different hard drugs

  • @Quirkykitty
    @Quirkykitty 3 года назад +4

    we should name the girl narrator on these types of videos eulicid and the boy narrator fractil. it's like lucid and fractal.

  • @Virtualmassslave
    @Virtualmassslave 3 года назад +6

    thanks! amazing stuff!

  • @ChristopherCormierPortfolio
    @ChristopherCormierPortfolio Год назад

    Did I just watch a 30 year old short film on the mathematical beauty of knots

  • @doctordothraki4378
    @doctordothraki4378 3 года назад +2

    11:00 and after I recognize from Beyond the Mind's Eye segment "Sunset

  • @yaboi3339
    @yaboi3339 3 года назад +3

    these knots would be a lot easier to untie if i could pinch them infinitely tight

  • @stargaze7476
    @stargaze7476 3 года назад

    I just watched "Outside In" and now... This.

  • @kyneaerror1594
    @kyneaerror1594 3 года назад +1

    Beautiful

  • @sadbread7261
    @sadbread7261 3 года назад +2

    *I'll never tie my shoes the same way again*

  • @dirt_dert_durt
    @dirt_dert_durt 2 года назад +2

    Am I to understand that you can turn a sphere inside out, but not a knot?

    • @mr.duckie._.
      @mr.duckie._. 9 месяцев назад

      how the ████ am i supposed to turn a knot inside out

  • @Noobprokermit
    @Noobprokermit Год назад

    That was a nice fever dream

  • @stepanbazrov6330
    @stepanbazrov6330 3 года назад +9

    Title is Not Knot, not Knot Not

    • @TheLastGinger
      @TheLastGinger  3 года назад +6

      I can't believe I never noticed that! Correcting it now

    • @stepanbazrov6330
      @stepanbazrov6330 3 года назад +1

      @@TheLastGinger knot not means nothing))

    • @columbus8myhw
      @columbus8myhw 2 года назад

      @@stepanbazrov6330 Knotn't

  • @TheSmegPod
    @TheSmegPod 3 года назад +6

    I fail to see what any of this has to do with knots

    • @SonicPman
      @SonicPman 3 года назад +2

      Same but I am no less fascinated
      EDIT: I think I get it now lol

  • @rising5948
    @rising5948 3 года назад +2

    my stand: *FUNDAMENTAL DOMAIN!*

  • @croissantpanda96
    @croissantpanda96 3 года назад +8

    this video make me happy that we'll never see the 4th dimension

  • @chrisrockett5897
    @chrisrockett5897 3 года назад

    Man, if only geometry class was this cool.

    • @ophello
      @ophello 2 года назад

      If only you could spell “geometry.”

    • @chrisrockett5897
      @chrisrockett5897 2 года назад

      @@ophello Fuck, typo my bad.

  • @Xxoax
    @Xxoax 2 года назад +1

    This is so good, I'm knot sure how to describe it. 😂

  • @leticiaasano2531
    @leticiaasano2531 2 года назад

    Amazing

  • @Shampoid
    @Shampoid 3 года назад +8

    topology is the definition of hell

  • @scharpmeister
    @scharpmeister 3 года назад

    Thank you epic maths man

  • @GoobieShoobie
    @GoobieShoobie 3 года назад

    here we go again.

  • @sirVhailor
    @sirVhailor 3 года назад +2

    holy shit

  • @lb21a
    @lb21a 2 года назад +1

    i forget this is not a magic material that can pass through itself

  • @mimisezlol
    @mimisezlol 11 месяцев назад

    I got lost somewhere around removing a point from a plane, but I can't explain how.

  • @m.guypirate6900
    @m.guypirate6900 3 года назад +2

    is this related to turning a sphere inside out

  • @rising5948
    @rising5948 3 года назад +6

    1:34 zelda?

    • @donaldweir7008
      @donaldweir7008 3 года назад +3

      Zero's charge shot in MMX, to my ears.

    • @rising5948
      @rising5948 3 года назад +3

      @@donaldweir7008 holy crap you're right

  • @The42Horsepower
    @The42Horsepower 3 года назад +1

    euclid, im scared

  • @pan.nanana3044
    @pan.nanana3044 3 года назад

    Is this one working with both earphones now?

  • @mahadahmedbaloch
    @mahadahmedbaloch 3 года назад +3

    By looking at some that it’s *knot*

  • @screwyoumoon
    @screwyoumoon 3 года назад +1

    you are awesome!!!!!

  • @calcuquack1206
    @calcuquack1206 3 года назад +2

    I will have nightmares about 4-dimensional knots.

    • @unrellated
      @unrellated 3 года назад

      Don't worry. It's mathematically impossible for a knot to exist in 4 dimensions.

    • @calcuquack1206
      @calcuquack1206 3 года назад

      @@unrellated Send a link of the proof?

    • @A_literal_cube
      @A_literal_cube 10 месяцев назад

      In 4 dimensions it's worse.
      It's not 1 dimensional strings that are knotted, it's 2 dimensional sheets.

  • @yucoshimasan
    @yucoshimasan Год назад

    We’re living inside one of this dimensions, right?

  • @depth2142
    @depth2142 2 года назад

    Your breaking my brain

  • @klyesam4006
    @klyesam4006 2 года назад

    I want more

  • @emilyjones1538
    @emilyjones1538 3 года назад

    Bro i just needed to know how to knot a neck tie

  • @austinleland8394
    @austinleland8394 3 года назад +5

    This isn’t as entertaining as turning a sphere inside out

  • @CrittingOut
    @CrittingOut Год назад

    Huh, wolfram has been here a long time

  • @ErdrickHero
    @ErdrickHero 3 года назад +1

    That's an interesting idea
    So it's against the rules

  • @robertowen8530
    @robertowen8530 3 года назад

    Time looping energy reverse polarity

  • @P-Nokota
    @P-Nokota 3 года назад +1

    9:20
    /give “human”

  • @gemsineye
    @gemsineye 3 года назад

    You know what? Fuck it. *rotates hyperbolic space around an axis*

  • @robertowen8530
    @robertowen8530 3 года назад

    Magnetic circuits circles of light

  • @JylyJuLRHYMEZ
    @JylyJuLRHYMEZ Год назад

    ❤❤❤❤❤❤❤

  • @moritz584
    @moritz584 9 месяцев назад +1

    Huh

  • @ailurophile4341
    @ailurophile4341 3 года назад +2

    What

  • @danii7120
    @danii7120 2 года назад

    Thanks a lot for this video! It was very informative and interesting, I love topology
    unfortunately you're a ginger

  • @jpanza
    @jpanza 3 года назад

    hey yeah what the fuck

  • @ArtsyHuharo
    @ArtsyHuharo 3 года назад +1

    1:10 ITS AMONG US

  • @kattenelvis1778
    @kattenelvis1778 3 года назад +2

    Are you going to upscale Shape of space? watch?v=-gLNlC_hQ3M

    • @TheLastGinger
      @TheLastGinger  3 года назад +1

      Thank you for sharing this! I actually hadn't looked into it much, but now that you've recommended it I'll see if I can find a copy to upscale! RUclips quality is typically pretty compressed, so I may need to find a DVD or VHS release. I'll let you know if there are any updates!

    • @kattenelvis1778
      @kattenelvis1778 3 года назад

      @@TheLastGinger Awesome! :D

  • @yurismgodzilla4866
    @yurismgodzilla4866 2 года назад

    written by david epstein

  • @corvidkhaos
    @corvidkhaos 3 года назад

    what.

  • @カールフォガティ
    @カールフォガティ 2 года назад

    今はさっぱりわからんけどわかるようになりたい

    • @l.f.3835
      @l.f.3835 2 года назад +1

      さっぱり分からないという気持ちはあるんですけど、優しい音楽のお陰で少し安心出来るよね。

  • @soapycanthandle
    @soapycanthandle 2 года назад

    2:21 MEOeoEwEwEOwaeouWeao

  • @cat1554
    @cat1554 Год назад

    What