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

This Video has been increased to 1440p from the 480p DVD release using AI upscaling, making this the highest resolution currently available.
----Press "SHOW MORE" to view uploader notes, description, further resources, and credits----
imgur.com/E3sPgO5
----UPLOADER NOTES----
Given it's relationship to Outside In, I figured it was only right that I upload Not Knot as well. I have an original VHS and supplemantary book of Not Knot, if anyone has a legit VHS copy of Outside In please let me know! I opted to use the DVD release for the upscale, mostly because I don't have a VHS player to record with but also because I'm afraid I wouldn't be knowledgable enough to create a high quality rip from an analog source.
My upscale skills are pretty basic, what I've excelled in so far is digging up the highest quality originals to upscale from. I'm getting better at command line arguments for a lab I'm in, so hopefully I'll be able to start upscaling using Joel Hruska's DS9UP methods.
I plan on doing more upscales in the future, if you have any suggestions, please let me know!
---DESCRIPTION---
Not Knot is a guided tour into computer-animated hyperbolic space. It proceeds from the world of knots to their complementary spaces -- what's not a knot. Profound theorems of recent mathematics show that most known complements carry the structure of hyperbolic geometry, a geometry in which the sum of three angles of a triangle always is less than 180 degrees.
---FURTHER RESOURCES---
What is a Knot? - Numberphile
( • What is a Knot? - Numb... )
David Epstein: Innovative teaching techniques
(www.geom.uiuc.edu/docs/forum/e...)
Short review of Not Knot and Supplementary book (requires college access)
(www.jstor.org/stable/3619248)
Geometry Center - Original page for Not Knot
(www.geom.uiuc.edu/video/NotKnot/)
Image stills with short descriptions
(www.geom.uiuc.edu/graphics/pix...)
AK Peters - Original VHS Distribution
(web.archive.org/web/200104260...)
Geometry Center Homepage - Find original software, files, descriptions, and animations
(www.geom.uiuc.edu/)
----
The following resources are not readily available. If you have access to any of these, please let me know.
Supplement to Not Knot
Written by David Epstein and Charlie Gunn, this book offers in-depth explanations to the concepts discussed in the video. I have a physical copy of this book, but I have yet to find a copy of it online. Archive.org doesn't appear to have any listings for it, and all my search results end up with unrelated content or used physical copies. If you are able to find a digital scan of this book online, please let me know and I will add it to the description. I don't imagine this video getting many views, but if there is great enough interest I can contact my university's library and see if I can use one of their professional scanners to upload my copy to share.
---CREDITS---
Written by
David Epstein
Charlie Gunn
Scott Kim
Silvio Levy
Delle Maxwell
Tobias Orloff
John Sullivan
William Thurston
Technical Director
Charlie Gunn
Artistic Director
Delle Maxwell
Modeling, Animation, and Rendering
Tobias Orloff
Delle Maxwell
Stuart Levy
Charlie Gunn
Beginning Titles
Scott Kim
Title Music
Tom Lonardo
Narrator
Chery Hays
----
Grateful acknoledgement of software used in movie:
Softimage
Softimage, Inc.
Montreal, Canada
Renderman
Pixar, Inc.
Richmond, CA
Mathematica
Wolfram Research
Champaign, IL
Rayshade
Craig Kolb
----
Video Recorded by NCSA
Animation Recording and Segment Editing
Robert Patterson
National Center for Supercomputer Applications
University of Illinois at Urbana-Champaig
Post Production
KTCA
St. Paul, MN
Video Editor
Jerry Lasko
Audio
Joe Demko
Thanks to
Scott Hayes
Janelle Jurek
Jeff Weeks
Special thanks to
Albert Marden
Director
Geometry Center
----
ISBN 0-86720-297-1 (pbk)
ISBN 0-86720-240-8 (video/pbk)
Copyright © 1991 by The Geometry Center, University of Minnesota

Пікірлер: 136

  • @josephrigor613
    @josephrigor6133 жыл бұрын

    My brain hurts real bad but loops look cool

  • @TheLastGinger

    @TheLastGinger

    3 жыл бұрын

    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 жыл бұрын

    ​@@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 жыл бұрын

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

  • @VOCALCHEMY

    @VOCALCHEMY

    11 ай бұрын

    My brain is glowing ❤🎉

  • @JulienDavid2024

    @JulienDavid2024

    9 ай бұрын

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

  • @ReySkywalker2
    @ReySkywalker23 жыл бұрын

    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_89273 жыл бұрын

    Now I know what purgatory looks like

  • @11equalsfish

    @11equalsfish

    3 жыл бұрын

    Pugatory can't be as fun as this.

  • @protondium_8927

    @protondium_8927

    3 жыл бұрын

    @@11equalsfish Very true. My mistake!

  • @abay1worldofficial

    @abay1worldofficial

    3 жыл бұрын

    @@protondium_8927 How whold Purgatory be fun?

  • @protondium_8927

    @protondium_8927

    3 жыл бұрын

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

  • @christianocampos158

    @christianocampos158

    2 жыл бұрын

    If this is purgatory it's gonna be ok

  • @rcollosi
    @rcollosi2 жыл бұрын

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

  • @Alefen
    @Alefen3 жыл бұрын

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

  • @JordanBahrPian-UkePlayer

    @JordanBahrPian-UkePlayer

    2 жыл бұрын

    That’s the same sound as the old “Restricted Cougar.”

  • @jonathansmithCrabAuthor
    @jonathansmithCrabAuthor3 жыл бұрын

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

  • @TheHypnotstCollector
    @TheHypnotstCollector3 жыл бұрын

    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 жыл бұрын

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

  • @vehicleboi5598

    @vehicleboi5598

    2 жыл бұрын

    Mathematical racism

  • @thetwelfth9987
    @thetwelfth99872 жыл бұрын

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

  • @paconotaco

    @paconotaco

    2 жыл бұрын

    That... hurts my brain to think about

  • @protondium_8927

    @protondium_8927

    Жыл бұрын

    HUH

  • @joj1758

    @joj1758

    11 ай бұрын

    parts of it were animated by Pixar too

  • @hotelmario510
    @hotelmario5103 жыл бұрын

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

  • @dragovenom6798
    @dragovenom67982 жыл бұрын

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

  • @TheKingOfNachosTM
    @TheKingOfNachosTM3 жыл бұрын

    Finally, my left ear can learn about knots as well

  • @johanandreassen9602
    @johanandreassen96023 жыл бұрын

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

  • @yeah2155

    @yeah2155

    3 жыл бұрын

    Same company

  • @garlic_bread180

    @garlic_bread180

    3 жыл бұрын

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

  • @johanandreassen9602

    @johanandreassen9602

    3 жыл бұрын

    @@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 жыл бұрын

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

  • @Quirkykitty

    @Quirkykitty

    2 жыл бұрын

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

  • @Korn656
    @Korn6563 жыл бұрын

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

  • @rising5948

    @rising5948

    3 жыл бұрын

    kek

  • @jeremyaster7470

    @jeremyaster7470

    3 жыл бұрын

    hahaha... joe joseph joke

  • @Howtoeatrocks
    @Howtoeatrocks2 жыл бұрын

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

  • @kattenelvis1778
    @kattenelvis17783 жыл бұрын

    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.

  • @poweradereal
    @poweradereal8 ай бұрын

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

  • @joyoshish
    @joyoshish2 жыл бұрын

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

  • @roccoleader279
    @roccoleader2792 жыл бұрын

    You are a saint, thank you for upscaling this video

  • @Ducky-lb2hk
    @Ducky-lb2hk2 жыл бұрын

    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

  • @evanev7
    @evanev73 жыл бұрын

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

  • @JacobSegaNerd
    @JacobSegaNerd3 жыл бұрын

    1:35 Sonic is doing a Spin-Dash.

  • @rassilontdavros3004

    @rassilontdavros3004

    Жыл бұрын

    Either that or X is charging up his Buster.

  • @ryujiokubo2563
    @ryujiokubo25632 жыл бұрын

    Need more videos of this genre

  • @KittenPinkamations
    @KittenPinkamations3 жыл бұрын

    Oh this is gonna be a trippp

  • @doctordothraki4378
    @doctordothraki43782 жыл бұрын

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

  • @RemiliaVampire
    @RemiliaVampire Жыл бұрын

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

  • @SaItogaming202
    @SaItogaming2022 жыл бұрын

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

  • @ambylotl
    @ambylotl3 жыл бұрын

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

  • @schrodingersspoon1705

    @schrodingersspoon1705

    3 жыл бұрын

    So much yes

  • @mateuszostrowski6958
    @mateuszostrowski69583 жыл бұрын

    Where can i find more of these tyoe videos

  • @TheLastGinger

    @TheLastGinger

    3 жыл бұрын

    While I don't have anymore knot related videos, I can share some videos related to topology! I would recommend Arnaud Chéritat (kzread.info/dron/zp3-A4cjdNmeYzeTCdK1FA.html). 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)" (kzread.info/dash/bejne/c6GbzbWdmK6ae5s.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! :)

  • @tylera5598
    @tylera55983 жыл бұрын

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

  • @igorjosue8957
    @igorjosue89572 жыл бұрын

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

  • @SuperIdiotMan00
    @SuperIdiotMan002 жыл бұрын

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

  • @Quirkykitty
    @Quirkykitty2 жыл бұрын

    The entity woman has returned to mess with our minds!

  • @lunyxappocalypse7071
    @lunyxappocalypse70713 ай бұрын

    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.

  • @tylera5598
    @tylera55983 жыл бұрын

    this is so surreal I love it

  • @zippienippi
    @zippienippi11 ай бұрын

    The music at the end low-key slaps

  • @imreplyingtothiscomment2378
    @imreplyingtothiscomment23782 жыл бұрын

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

  • @sleepisamyth
    @sleepisamyth2 жыл бұрын

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

  • @Virtualmassslave
    @Virtualmassslave3 жыл бұрын

    thanks! amazing stuff!

  • @ChristopherCormierPortfolio
    @ChristopherCormierPortfolio11 ай бұрын

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

  • @TheFinalFrontiersman
    @TheFinalFrontiersman2 жыл бұрын

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

  • @Quirkykitty
    @Quirkykitty2 жыл бұрын

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

  • @kyneaerror1594
    @kyneaerror15943 жыл бұрын

    Beautiful

  • @yaboi3339
    @yaboi33392 жыл бұрын

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

  • @sadbread7261
    @sadbread72612 жыл бұрын

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

  • @dirt_dert_durt
    @dirt_dert_durt2 жыл бұрын

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

  • @mr.duckie._.

    @mr.duckie._.

    5 ай бұрын

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

  • @leticiaasano2531
    @leticiaasano25312 жыл бұрын

    Amazing

  • @stepanbazrov6330
    @stepanbazrov63303 жыл бұрын

    Title is Not Knot, not Knot Not

  • @TheLastGinger

    @TheLastGinger

    3 жыл бұрын

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

  • @stepanbazrov6330

    @stepanbazrov6330

    3 жыл бұрын

    @@TheLastGinger knot not means nothing))

  • @columbus8myhw

    @columbus8myhw

    2 жыл бұрын

    @@stepanbazrov6330 Knotn't

  • @screwyoumoon
    @screwyoumoon3 жыл бұрын

    you are awesome!!!!!

  • @stargaze7476
    @stargaze74763 жыл бұрын

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

  • @rising5948
    @rising59483 жыл бұрын

    my stand: *FUNDAMENTAL DOMAIN!*

  • @croissantpanda96
    @croissantpanda963 жыл бұрын

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

  • @rising5948
    @rising59483 жыл бұрын

    1:34 zelda?

  • @donaldweir7008

    @donaldweir7008

    3 жыл бұрын

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

  • @rising5948

    @rising5948

    3 жыл бұрын

    @@donaldweir7008 holy crap you're right

  • @Noobprokermit
    @Noobprokermit Жыл бұрын

    That was a nice fever dream

  • @scharpmeister
    @scharpmeister2 жыл бұрын

    Thank you epic maths man

  • @TheSmegPod
    @TheSmegPod3 жыл бұрын

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

  • @SonicPman

    @SonicPman

    2 жыл бұрын

    Same but I am no less fascinated

  • @Xxoax
    @Xxoax2 жыл бұрын

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

  • @Shampoid
    @Shampoid3 жыл бұрын

    topology is the definition of hell

  • @mahadahmedbaloch
    @mahadahmedbaloch3 жыл бұрын

    By looking at some that it’s *knot*

  • @pan.nanana3044
    @pan.nanana30443 жыл бұрын

    Is this one working with both earphones now?

  • @sirVhailor
    @sirVhailor3 жыл бұрын

    holy shit

  • @mimisezlol
    @mimisezlol6 ай бұрын

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

  • @m.guypirate6900
    @m.guypirate69003 жыл бұрын

    is this related to turning a sphere inside out

  • @doctordothraki4378

    @doctordothraki4378

    2 жыл бұрын

    Yes, the same company made this and Outside In

  • @chrisrockett5897

    @chrisrockett5897

    2 жыл бұрын

    Yes.

  • @lb21a
    @lb21a2 жыл бұрын

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

  • @JylyJuLRHYMEZ
    @JylyJuLRHYMEZ11 ай бұрын

    ❤❤❤❤❤❤❤

  • @emilyjones1538
    @emilyjones15382 жыл бұрын

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

  • @chrisrockett5897
    @chrisrockett58972 жыл бұрын

    Man, if only geometry class was this cool.

  • @ophello

    @ophello

    2 жыл бұрын

    If only you could spell “geometry.”

  • @chrisrockett5897

    @chrisrockett5897

    2 жыл бұрын

    @@ophello Fuck, typo my bad.

  • @austinleland8394
    @austinleland83943 жыл бұрын

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

  • @depth2142
    @depth2142 Жыл бұрын

    Your breaking my brain

  • @calcuquack1206
    @calcuquack12062 жыл бұрын

    I will have nightmares about 4-dimensional knots.

  • @unrellated

    @unrellated

    2 жыл бұрын

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

  • @calcuquack1206

    @calcuquack1206

    2 жыл бұрын

    @@unrellated Send a link of the proof?

  • @A_literal_cube

    @A_literal_cube

    5 ай бұрын

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

  • @The42Horsepower
    @The42Horsepower3 жыл бұрын

    euclid, im scared

  • @CarelessClick
    @CarelessClick3 жыл бұрын

    here we go again.

  • @P-Nokota
    @P-Nokota2 жыл бұрын

    9:20 /give “human”

  • @klyesam4006
    @klyesam40062 жыл бұрын

    I want more

  • @yucoshimasan
    @yucoshimasan9 ай бұрын

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

  • @CrittingOut
    @CrittingOut11 ай бұрын

    Huh, wolfram has been here a long time

  • @gemsineye
    @gemsineye3 жыл бұрын

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

  • @ErdrickHero
    @ErdrickHero3 жыл бұрын

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

  • @robertowen8530
    @robertowen85303 жыл бұрын

    Time looping energy reverse polarity

  • @danii7120
    @danii71202 жыл бұрын

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

  • @jpanza
    @jpanza3 жыл бұрын

    hey yeah what the fuck

  • @ailurophile4341
    @ailurophile43413 жыл бұрын

    What

  • @robertowen8530
    @robertowen85303 жыл бұрын

    Magnetic circuits circles of light

  • @ArtsyHuharo
    @ArtsyHuharo3 жыл бұрын

    1:10 ITS AMONG US

  • @moritz584
    @moritz5844 ай бұрын

    Huh

  • @kattenelvis1778
    @kattenelvis17783 жыл бұрын

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

  • @TheLastGinger

    @TheLastGinger

    3 жыл бұрын

    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! KZread 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 жыл бұрын

    @@TheLastGinger Awesome! :D

  • @user-ei9ng6zv8w
    @user-ei9ng6zv8w2 жыл бұрын

    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 жыл бұрын

    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。

  • @corvidkhaos
    @corvidkhaos3 жыл бұрын

    what.

  • @sullivanbell2397
    @sullivanbell2397 Жыл бұрын

    2:21 MEOeoEwEwEOwaeouWeao

  • @yurismgodzilla4866
    @yurismgodzilla48662 жыл бұрын

    written by david epstein

  • @cat1554
    @cat155411 ай бұрын

    What