Turning a sphere inside out (video)

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Some of you guys have probably seen this before, but I thought this was really interesting:

http://video.google.com/videoplay?docid=-6626464599825291409 [Broken]
 
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686
0
HORRIBLE voice acting, but really cool stuff nonetheless.
 
2,903
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This is for you smart math number theory working at NSA people.
 
That's pretty amazing. I wonder if it would be possible to work out how to do it for n dimensions 3=>. Those crazy pure maths cats. :smile:

I wonder if you could reduce the time by using extra dimensions. I wonder if you could prove that you can?
 
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1,703
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This is for you smart math number theory working at NSA people.
what does this have to do with number theory :confused:
 
2,903
13
Dont people who do number theory crack codes at the NSA?
 
1,464
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That's topology on steroids.
 
DaveC426913
Gold Member
18,328
1,940
Hmph. It is utterly incomprehensible with the audio off.
 
1,703
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43
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I was expressing myself so much that things got worse somewhere along the microphone plugin

I seriously don't know what was-is going on
 
Believe it or not a sphere eversion video (the optiverse i think it was called) was actually one of the reasons I became interested in math in the first place.
 
1,996
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I wonder what kind of real-world applications sphere-eversion has...
 
This would make a good action movie. The music is fitting. :rofl: All it needs is maybe an antagonist (any ideas?) and some romance between the narrators and its good to go.
 
mathwonk
Science Advisor
Homework Helper
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i was enjoying it, although getting impatient with the pacing, until the narrator said the euler characteristic of a sphere equals 1, instead of the correct number, 2.

but i was learning something.


or maybe they were using a modification of the euler number, involving the coloring of the domes and bowls, to make it come out 1.
 
782
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Well, is the 'sphere' part of this very useful in the real world as it has so many real world applications?--:confused:--




Now, I can see why those being more pure mathematicians invented string theory and MWI, and have promoted it;-- and, why it hasn't been worked on experimentally in the labs.





:rolleyes: (nice cgi animations, though, for the 'explanation')
 
41
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I was just watching that the other day. It's a little slow at times, but not too bad overall.
 
6
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i was enjoying it, although getting impatient with the pacing, until the narrator said the euler characteristic of a sphere equals 1, instead of the correct number, 2.
That wasn't the Euler number, was it?
 
daniel_i_l
Gold Member
867
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Wow. Seeing it the first time is mind boggling. What makes it even more amazing is the fact that this was first worked out on paper.
Does anybody know if there's a formal way of "ruffling" the surface of the sphere? Are there any simpler ways of doing it?
 
I wonder what kind of real-world applications sphere-eversion has...
::Sarcasm Alert::

Believe it or not leading string theorists believe our universe is a giant sphere and at the nodes of intersection between two parts of the sphere are black holes.

::/End Sarcasm::

:rolleyes:
Does it need an application?
 
269
6
That was so cool to watch. This was actually my first time of ever hearing about it, let alone watching it. I enjoyed it though, and learned some too :)
 
Heres my favorite version,
The Narrator doesn't talk to you like your watching Barney concurrently either.:biggrin:

So is the type of thing like Geometric Topology/Algebraic Geometry? I really want to learn more about it from a math standpoint. This is the video that got me interested in maths in the first place back when I was in Geometry in High School.
 
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15
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wow, that's really cool
 
269
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I like the video that Rocket put up better :smile: It has a bunch more pretty colors, too :biggrin:
 

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