[HD Upscale] Not Knot - A guide to mathematical knots in hyperbolic space
ฝัง
- เผยแพร่เมื่อ 13 ต.ค. 2020
- 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
My brain hurts real bad but loops look cool
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 :)
@@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
@@TheLastGinger Now I realized that creativity is a form of masochism.
My brain is glowing ❤🎉
@@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.
"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!
That’s the same sound as the old “Restricted Cougar.”
Now I know what purgatory looks like
Pugatory can't be as fun as this.
@@11equalsfish Very true. My mistake!
@@protondium_8927 How whold Purgatory be fun?
@@abay1worldofficial According to Dante Alighieri, there's a bitchin mountain to climb
If this is purgatory it's gonna be ok
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
I’m a frayed that’s knot how it works
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.
That... hurts my brain to think about
HUH
parts of it were animated by Pixar too
Sometimes it’s easier to understand something by looking at what it’s knot
I don't understand the geometry of it at all but I do love the relaxing synth music. Something very dreamlike about it.
I got some "How to turn a sphere inside out" vibes from watching this
Same company
both the videos are from The Geometry Centre! :D they have more videos like this btw
@@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?
@@johanandreassen9602 Nope, but the other one was called "The Shape of Space"
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
kek
hahaha... joe joseph joke
Finally, my left ear can learn about knots as well
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 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
i am so happy that one of my favourite youtube videos of all time is look good
imagine being an animator and this script gets dropped on your desk
1:35 Sonic is doing a Spin-Dash.
Either that or X is charging up his Buster.
This is the best use of animation to explain maths! 🙌
"welcome to the exibit of geometry and knots!" **breath**
whoever came up with had to be high on at least like 5 different hard drugs
You are a saint, thank you for upscaling this video
the girl: whe will learn about knots
also the girl: *explaining about how hyperbolic space works
Oh this is gonna be a trippp
The entity woman has returned to mess with our minds!
... Im sorry- do mathematicians just regularly deal with lovecraftian horrors made out of numbers and just chose not to tell us?
So much yes
Need more videos of this genre
Thank you! This was really cool to watch and I didn't notice the upscale until I finished the vide, 10/10!
Did I just watch a 30 year old short film on the mathematical beauty of knots
this is so surreal I love it
The music at the end low-key slaps
This video took my brain apart and forgot to put it back together
Boi I sure hope they make a short film about a circles and spheres
we should name the girl narrator on these types of videos eulicid and the boy narrator fractil. it's like lucid and fractal.
11:00 and after I recognize from Beyond the Mind's Eye segment "Sunset
thanks! amazing stuff!
This was really intriguing. I'm gonna see if I can find more on hyperbolic space
Now we need a follow-up showing the complements of other knots and links.
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.
*I'll never tie my shoes the same way again*
these knots would be a lot easier to untie if i could pinch them infinitely tight
Beautiful
my stand: *FUNDAMENTAL DOMAIN!*
That was a nice fever dream
Title is Not Knot, not Knot Not
I can't believe I never noticed that! Correcting it now
@@TheLastGinger knot not means nothing))
@@stepanbazrov6330 Knotn't
I just watched "Outside In" and now... This.
Amazing
you are awesome!!!!!
1:34 zelda?
Zero's charge shot in MMX, to my ears.
@@donaldweir7008 holy crap you're right
Where can i find more of these tyoe videos
While I don't have anymore knot related videos, I can share some videos related to topology!
I would recommend Arnaud Chéritat (th-cam.com/channels/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)" (th-cam.com/video/AmgkSdhK4K8/w-d-xo.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! :)
this video make me happy that we'll never see the 4th dimension
Thank you epic maths man
Am I to understand that you can turn a sphere inside out, but not a knot?
how the ████ am i supposed to turn a knot inside out
I fail to see what any of this has to do with knots
Same but I am no less fascinated
This is so good, I'm knot sure how to describe it. 😂
holy shit
euclid, im scared
topology is the definition of hell
Your breaking my brain
By looking at some that it’s *knot*
here we go again.
i forget this is not a magic material that can pass through itself
I will have nightmares about 4-dimensional knots.
Don't worry. It's mathematically impossible for a knot to exist in 4 dimensions.
@@unrellated Send a link of the proof?
In 4 dimensions it's worse.
It's not 1 dimensional strings that are knotted, it's 2 dimensional sheets.
Man, if only geometry class was this cool.
If only you could spell “geometry.”
@@ophello Fuck, typo my bad.
Huh, wolfram has been here a long time
I got lost somewhere around removing a point from a plane, but I can't explain how.
9:20
/give “human”
You know what? Fuck it. *rotates hyperbolic space around an axis*
I want more
This isn’t as entertaining as turning a sphere inside out
Bro i just needed to know how to knot a neck tie
is this related to turning a sphere inside out
Yes, the same company made this and Outside In
Yes.
We’re living inside one of this dimensions, right?
That's an interesting idea
So it's against the rules
❤❤❤❤❤❤❤
Is this one working with both earphones now?
What
Time looping energy reverse polarity
Magnetic circuits circles of light
hey yeah what the fuck
Thanks a lot for this video! It was very informative and interesting, I love topology
unfortunately you're a ginger
1:10 ITS AMONG US
Huh
今はさっぱりわからんけどわかるようになりたい
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.
Are you going to upscale Shape of space? watch?v=-gLNlC_hQ3M
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! TH-cam 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!
@@TheLastGinger Awesome! :D
2:21 MEOeoEwEwEOwaeouWeao
written by david epstein
What