Torus eversion
ฝัง
- เผยแพร่เมื่อ 23 มิ.ย. 2017
- Re-render of • Torus eversion: colorb... see that video for details.
Rendered with a larger tube in some part and with "Radiosity" setting on in POV-Ray to enhance readability of the shapes. As a drawback, I set down the resolution to 480p and 30fps for the rendering time to be reasonable. - วิทยาศาสตร์และเทคโนโลยี
![[YTP] Turning a Basketball Inside-out](http://i.ytimg.com/vi/vOzKLX2Pf7U/mqdefault.jpg)
They’re doing this to me next week
How did it go
was it nice
He's not with us anymore 😔🕯️
R.I.P. torus guy
I'm really happy with how this torus eversion looks. It's so clear what's happening. All of the sphere eversion videos I've found have at least one step that is glossed over and I don't actually make any sense of it; even the famous "Outside In" video, I couldn't follow the entire thing. Looks like torus eversion is a lot simpler though.
🙏 Thanks. The torus eversion is indeed --a lot-- simpler than the sphere eversion.
Yeah thats a property of the torus not the video creators lol
Here's an explanation of a sphere eversion that uses this torus eversion: th-cam.com/video/ixduANVe0gg/w-d-xo.htmlsi=YJaTkFjgy6TSb7jc
Here you can see the wild torus shedding its skin then consuming it to keep the nutrition found in the animal skin such a beautiful thing life is.
beautiful
you cannot crease or bend it sharply
Where do you see that it is bent sharply?
@@scratchthecatqwerty9420It's a quote from a video about a sphere turning inside out
It’s so simple!
Reality:
topology fan service
Donut shop: "You evert it, you buy it."
this just showed up in my recommended and there's math people who actually know what they're looking at, though i don't know what i expected from a video like this, i should be asleep right now but instead i watch a torus flip inside out and i go "bro what in the fuck"
Huge
You should look up turning a sphere inside out next
THIS IS THE THIRD DIFFERENT VIDEO OF THE SAME THING I HAVE BEEN RECCOMENDED
dude same. these videos have been the epitome of idiocy trying to act brilliant, what even is the fascination of a circle that engulfs a portion of itself, than phase through its own (what should be solid matter) body, and pretend its something that came from a self created vortex simply by altering the colour... fake and wack, a kid could accidentally coin this
Teacher : the test is easy
The test :
I cant even begin to describe how uncomfortable this made me. i love it
Great, now it’s the color of a donut so it can be eaten
Idk if you still wanna eat that I poured coffee in it
So amazing! If the torus is embedded in 4 dimensional euclidean space,can it eversion inside to outside without self intersection ?
Thank you. People often use the 4th dimension to justify the self-intersection but I think this is not appropriate.
1-It is true that you can transform such a process as shown in the movie into a movement in 4D space without self-intersections.
However, what does it mean to turn a surface inside-out in 4D?
2-The way a 2D object sits in 4D is similar to the way a 1D object sits in 3D space: you would not say that a curve in 3D has two sides, there is no notion of face/side. Similarly a 2D surface has no notion of side in 4D space.
3-If you fill-in the torus it becomes a 3D object and if you put it in 4D then you can easily permute its two faces it by a pure rigid 4D rotation, but you do not invert the surface, you only invert the 3D interior. Note that though there is no notion of side of the surface, it comes back under the process to itself with its orientation reversed, so you can call this an inversion, but it is rather trivial.
4-So what does the process 1- do? It superimposes the surface to itself so that:
a-the orientation is reversed (not the side because there is no such things as sides)
b-some orhtogonal projection of the surface never has singularities (the tangent space at any point at any time never contains the kernel of the projection)
5-If you drop requirement b- it is rather easy to invert the torus in 4D space: just do as in 3-!
Let me add that if you perform process 3- (same as 5-) appropriately, then it has a very simple projection to 3D space : the torus flattens and then inflates again.
If you want technical details It does so by a linear map: (x,y,z) -> (x,y,sz) where s varies from 1 to -1 (s=cos(time), time goes from 0 to pi).
I got it. Thank you very much!
Merci Arnaud 👍
You have to understand the rules of the game
So that's why my donut tasted funny
Very cool, really helps with understanding.
So satisfying
my digestive system when taco bell
I liked the part where the torus went "it's torusing time" and torused all over the place
anything is possible if you break rules.
First a sphere. Now a donut? I think we already turned things inside out enough
Brilliant ❤
Thanks 🙏
This's so fucking wild and i am loving it!
Good God how did I end up here?
So this is what that guy in that other video I watched meant by, "Rearrange my guts."
hell yeah
Im not a topology kind of guy, are you allowed to just pull matter through itself?
From the very basics of what I know,
Enlarging the circle: good
Enlarging one small bit: fine
Looping it over itself: still good
Pulling it through itself: ???
Stretching(?) the thing: good
Ans then the rest are just repeats in reverse order
Idk
As i said i dont do topology so i dont know whats legal or not
As you correctly guessed: this is not about a physical surface. The game is about surfaces /drawn/ in space. When you draw a curve you are allowed to let it cross itself. The rules are explained for instance in the video "Outside In" by the Geometry Center.
> are you allowed to just pull matter through itself?
My country's laws do not forbit, yet physics law won't let ;)
Insert and blow
How are you making these renders, but also thanks for informing me, I will now use this knowledge to take over the world
I used POV-Ray. Everything is pieces of parameterized surfaces, designed so as the resulting surface is somewhat smooth. The first version was done long time ago. The colorblind friendly version a bit more recently. Concerning the take over the world thing, you may first want to learn how to turn a sphere inside-out : th-cam.com/video/gs_eUoQPjHc/w-d-xo.html 😁
Blue Toris gets vored💀
Torus prolapse
Aaa!!! You turn Bagelnine inside out!!!
Unfortunately we can't phase any material from any other material without pores.
cmon man i just wanted to eat my damn donut :(
My insides at 3 am after eating a 6 pack and a pound the previous day
this relies on the ability for two points to coexist in the same place
Indeed. Mathematically this is called an immersion. One must realize that this is not about a physical object but about representations of the torus, in other words, the surface is "drawn" in space and nothing prevents it from self-intersecting.
@@ArnaudCheritat relegate it to the mathematical realm, because we all know co-habitation does not work out in the physical realm 😜
You can turn a 3D circle inside out, but alas, it’s flat brother is uninvertable.
NEINN!!!
Yes, nein! Bagelnine, indeed!
eversion?
im kinda wondering what the fuck just happened
Нихуя не понял, но очень интересно
apaan dah
Step bro
Wierd art of topography
Topology. Topography is about like, maps of locations and like mountains and valleys and such.
Вы нафига над бубликом издеваетесь?? верните как было!
What the fuck is this and why am I being recommended it? Is this a sign? Am I being summoned by fucking Xenu?