[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
My brain hurts real bad but loops look cool
@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
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
3 жыл бұрын
@@TheLastGinger Now I realized that creativity is a form of masochism.
@VOCALCHEMY
11 ай бұрын
My brain is glowing ❤🎉
@JulienDavid2024
9 ай бұрын
@@josephrigor613No, simply put, space no longer extends to where your brain used to be.
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.
Now I know what purgatory looks like
@11equalsfish
3 жыл бұрын
Pugatory can't be as fun as this.
@protondium_8927
3 жыл бұрын
@@11equalsfish Very true. My mistake!
@abay1worldofficial
3 жыл бұрын
@@protondium_8927 How whold Purgatory be fun?
@protondium_8927
3 жыл бұрын
@@abay1worldofficial According to Dante Alighieri, there's a bitchin mountain to climb
@christianocampos158
2 жыл бұрын
If this is purgatory it's gonna be ok
"The point at the cone's tip is special. It's called the cone point." Gee, who woulda guessed
2:21 That cat doesn’t sound like it’s OK!
@JordanBahrPian-UkePlayer
2 жыл бұрын
That’s the same sound as the old “Restricted Cougar.”
The original video was trippy enough, but seeing it in HD gives takes it to a whole new level of uncanny otherworldliness.
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
3 жыл бұрын
I’m a frayed that’s knot how it works
@vehicleboi5598
2 жыл бұрын
Mathematical racism
From an animation perspective this looks pretty advanced for the time it was made in, it came out four years before Toy Story.
@paconotaco
2 жыл бұрын
That... hurts my brain to think about
@protondium_8927
Жыл бұрын
HUH
@joj1758
11 ай бұрын
parts of it were animated by Pixar too
I don't understand the geometry of it at all but I do love the relaxing synth music. Something very dreamlike about it.
Sometimes it’s easier to understand something by looking at what it’s knot
Finally, my left ear can learn about knots as well
I got some "How to turn a sphere inside out" vibes from watching this
@yeah2155
3 жыл бұрын
Same company
@garlic_bread180
3 жыл бұрын
both the videos are from The Geometry Centre! :D they have more videos like this btw
@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
3 жыл бұрын
@@johanandreassen9602 Nope, but the other one was called "The Shape of Space"
@Quirkykitty
2 жыл бұрын
the god teacher has returned for another day of teaching complex topics that make people become a god.
10:23 Suddenly Gold Experience Requiem's ability become child's play
@rising5948
3 жыл бұрын
kek
@jeremyaster7470
3 жыл бұрын
hahaha... joe joseph joke
Wait this isn't the Mario 64 half a press speedrun
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.
i am so happy that one of my favourite youtube videos of all time is look good
This is the best use of animation to explain maths! 🙌
You are a saint, thank you for upscaling this video
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
Thank you! This was really cool to watch and I didn't notice the upscale until I finished the vide, 10/10!
1:35 Sonic is doing a Spin-Dash.
@rassilontdavros3004
Жыл бұрын
Either that or X is charging up his Buster.
Need more videos of this genre
Oh this is gonna be a trippp
11:00 and after I recognize from Beyond the Mind's Eye segment "Sunset
imagine being an animator and this script gets dropped on your desk
"welcome to the exibit of geometry and knots!" **breath**
... Im sorry- do mathematicians just regularly deal with lovecraftian horrors made out of numbers and just chose not to tell us?
@schrodingersspoon1705
3 жыл бұрын
So much yes
Where can i find more of these tyoe videos
@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! :)
whoever came up with had to be high on at least like 5 different hard drugs
the girl: whe will learn about knots also the girl: *explaining about how hyperbolic space works
Now we need a follow-up showing the complements of other knots and links.
The entity woman has returned to mess with our minds!
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.
this is so surreal I love it
The music at the end low-key slaps
Boi I sure hope they make a short film about a circles and spheres
This was really intriguing. I'm gonna see if I can find more on hyperbolic space
thanks! amazing stuff!
Did I just watch a 30 year old short film on the mathematical beauty of knots
This video took my brain apart and forgot to put it back together
we should name the girl narrator on these types of videos eulicid and the boy narrator fractil. it's like lucid and fractal.
Beautiful
these knots would be a lot easier to untie if i could pinch them infinitely tight
*I'll never tie my shoes the same way again*
Am I to understand that you can turn a sphere inside out, but not a knot?
@mr.duckie._.
5 ай бұрын
how the ████ am i supposed to turn a knot inside out
Amazing
Title is Not Knot, not Knot Not
@TheLastGinger
3 жыл бұрын
I can't believe I never noticed that! Correcting it now
@stepanbazrov6330
3 жыл бұрын
@@TheLastGinger knot not means nothing))
@columbus8myhw
2 жыл бұрын
@@stepanbazrov6330 Knotn't
you are awesome!!!!!
I just watched "Outside In" and now... This.
my stand: *FUNDAMENTAL DOMAIN!*
this video make me happy that we'll never see the 4th dimension
1:34 zelda?
@donaldweir7008
3 жыл бұрын
Zero's charge shot in MMX, to my ears.
@rising5948
3 жыл бұрын
@@donaldweir7008 holy crap you're right
That was a nice fever dream
Thank you epic maths man
I fail to see what any of this has to do with knots
@SonicPman
2 жыл бұрын
Same but I am no less fascinated
This is so good, I'm knot sure how to describe it. 😂
topology is the definition of hell
By looking at some that it’s *knot*
Is this one working with both earphones now?
holy shit
I got lost somewhere around removing a point from a plane, but I can't explain how.
is this related to turning a sphere inside out
@doctordothraki4378
2 жыл бұрын
Yes, the same company made this and Outside In
@chrisrockett5897
2 жыл бұрын
Yes.
i forget this is not a magic material that can pass through itself
❤❤❤❤❤❤❤
Bro i just needed to know how to knot a neck tie
Man, if only geometry class was this cool.
@ophello
2 жыл бұрын
If only you could spell “geometry.”
@chrisrockett5897
2 жыл бұрын
@@ophello Fuck, typo my bad.
This isn’t as entertaining as turning a sphere inside out
Your breaking my brain
I will have nightmares about 4-dimensional knots.
@unrellated
2 жыл бұрын
Don't worry. It's mathematically impossible for a knot to exist in 4 dimensions.
@calcuquack1206
2 жыл бұрын
@@unrellated Send a link of the proof?
@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.
euclid, im scared
here we go again.
9:20 /give “human”
I want more
We’re living inside one of this dimensions, right?
Huh, wolfram has been here a long time
You know what? Fuck it. *rotates hyperbolic space around an axis*
That's an interesting idea So it's against the rules
Time looping energy reverse polarity
Thanks a lot for this video! It was very informative and interesting, I love topology unfortunately you're a ginger
hey yeah what the fuck
What
Magnetic circuits circles of light
1:10 ITS AMONG US
Huh
Are you going to upscale Shape of space? watch?v=-gLNlC_hQ3M
@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
3 жыл бұрын
@@TheLastGinger Awesome! :D
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
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。
what.
2:21 MEOeoEwEwEOwaeouWeao
written by david epstein
What