Added: Dec 4, 2008
From: britoca
Duration: 0:4
Everting a sphere.For further information watch this awesome version of this clip: http://www.youtube.com/watch?v=R_w4HYXuo9M
Channel: Howto
Tags: evert everting evertion inversion invert inverting math mathematics sphere spherical topology
Rating: 4.27 (51 ratings) Views: 63782' favoriteCount='158 Comments: 25
Euph777 Says:
Dec 4, 2008 - If you're really interested in the logic behind it (and don't mind watching like a 20 minute video) look this up on google video. You'll see cross sections and slow motion and all the rest.
WPM1414 Says:
Dec 4, 2008 - I believe that it is able to do that because of the accepted forth dimension. I could be wrong though, and i probably am.
314dragon314 Says:
Dec 4, 2008 - no, you're right, to evert a sphere you must include the 4th dimension and have a mass that can pass through itself but NOT crease.
Funkypotat0 Says:
Dec 4, 2008 - That's what happened to my brain when I saw that animation...
DeoFavente1 Says:
Dec 4, 2008 - I only wish i could do this. too bad my body and arms and muscles and infinitely thin in the fourth dimesntion (or at least all my sesory organs are, whos to say that humans haven't started growing in the fourth dimension)
Etimespace Says:
Dec 4, 2008 - Even though you would have how thin ever, so in any case you would have certain thickness. You would have three-dimensional. If you wouldn't have thickness, you would not be existing. Any from the two dimensional there doesn't exist. For that reason is futile claims that two dimensional mortal was not understands three space dimensions. Or understand you two dimensional mortal? I don't understands. I don't so belief to two dimensional mortals. I don't believe to the additional space dimensions.
Cosmodot256 Says:
Dec 4, 2008 - I'm curious if this could have any implications related to the theories of an oscillating Universe.
14grig6perl41 Says:
Dec 4, 2008 - Here's my guess: It is possible to evert the surface because it is the boundary of a 3-sphere, which is the only simply-connected 3 dimensional manifold. You can't evert a torus.Could someone that has taken topology correct me if I'm wrong?
14grig6perl41 Says:
Dec 4, 2008 - I thought about it for a while, and I concluded that the human body is topologically equivalent to the connected sum of five tori: a five-hole doughnut. There are five holes in the head that connect to the esophagus. The lungs make one simply-connected dead end, so they don't count. The urinary and reproductive tracts are also dead ends. The holes in the head connect to the esophagus and the rest of the digestive tract. Gross, isn't it?
mylilgymsock1 Says:
Dec 4, 2008 - wtf does that have to do with the vid? lol.
14grig6perl41 Says:
Dec 4, 2008 - Think before you post. My two comments are the only topology-related comments in the past month. WTF does YOUR comment have to do with the video?
reki107 Says:
Dec 4, 2008 - You can't make a sphere turn inside out, without having it pass through itself. And that cannot be achieved in the third dimension. So the only conclusion that you can make is that you must bend the sphere through the fourth dimension to turn it inside out. Or if sometime they magically make some kind of amazing magic rubber that can pass through itself in the third dimension, which seems to me...completely impossible.
Escuerd Says:
Dec 4, 2008 - A sphere is a mathematical abstraction, not a physical object. In math, you can make your own set of rules up to some basic system of logical inference.I'm not a mathematician, but the problem of everting a 2-sphere (that cannot pass through itself) in 4-space intuitively seems to be a somewhat different problem from this one.By the way, your comment reminded me of one of the discussions in the book "Proofs and Refutations" by Lakatos.
Escuerd Says:
Dec 4, 2008 - Hehe, I remember this discussion coming up with some of my friends before. :)
14grig6perl41 Says:
Dec 4, 2008 - Finally, an intelligent comment!
zezimaowner123 Says:
Dec 4, 2008 - a bubble can pas through itsellf an willbe destroyed if it is bent to sharply so this does make sense
reki107 Says:
Dec 4, 2008 - What is that book?? I've never read it...
Escuerd Says:
Dec 4, 2008 - It's a book on philosophy of mathematics. It's written as a discussion between a teacher and students. The teacher offers what appears to be a convincing proof of a famous theorem, and some of the students show what they consider counterexamples, and the whole thing's about trying to determine who went wrong, in what manner, and what it can teach about the methodology of mathematics.One of the students' objections to another students' putative counterexample was what your post reminded me of.
reki107 Says:
Dec 4, 2008 - oh, I'll have to check it out...sounds cool!
usernamefmyass Says:
Dec 4, 2008 - It is the boundary of a 3Ball. A 3Sphere has no boundary. And a 3Sphere is the only compact simply connected 3-dimensional Manifold. There are noncompact ones like |R^3. Im not sure if there are more.
usernamefmyass Says:
Dec 4, 2008 - A bubble can pass through itself?
zezimaowner123 Says:
Dec 4, 2008 - yep
usernamefmyass Says:
Dec 4, 2008 - any explanation or reference?Isnt it right, that if two distinct points of a bubble meet something similar to the meeting of two different bubbles would happen, like becoming one bubble with a plane through the interior.A two dimensional "8", or if you are into topology say an S^2 v S^2
wezzer7 Says:
Dec 4, 2008 - chavs suck
bumfluff333 Says:
Dec 4, 2008 - everting spheres does rock. this video is fake though (00:02)