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Old 10-08-2007   #1 (permalink)
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Turning A Sphere Inside-Out

The following video (about 21 minutes) explains very carefully how a sphere can be turned inside out without making a hole in the sphere and without creating any creases (infinitely tight folds) in the sphere. This is done by first by drawing analogies with circles and then by demonstrating with remarkably detailed animations of spheres, and segments of spheres, in the process of inverting. Worth your time.



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Old 10-10-2007   #2 (permalink)
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Re: Turning A Sphere Inside-Out

We looked at this movie at university. I found it really interesting but alot of people didn't. If your interest, there was a more recent solution of turning a sphere inside out which was revieled in 1998. It is fairly abstract but easily understood. The link is new.math.uiuc.edu/optiverse/

If you are aware of more recent discoveries i would be interested to look at them but i haven't heard of any.

~Andrew

It wouldn't let me post the link till have made 10 posts but if you search for optiverse you should find it.
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Old 10-11-2007   #3 (permalink)
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Re: Turning A Sphere Inside-Out

Quote:
Originally Posted by whipflip15 View Post
We looked at this movie at university. I found it really interesting but alot of people didn't. If your interest, there was a more recent solution of turning a sphere inside out which was revieled in 1998. It is fairly abstract but easily understood. ....
Thanks for the link! I found a number of stills and short videos of the 1998 technique. However, I couldn't make hide nor hair of how they did it.

The version I posted is simple enough that I can still visualize it, and could probably reproduce it if I had to. Maybe.

Thanks again! You never know when someday, somebody will have to save the universe by inverting a black hole. Be prepared!!!


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Old 10-11-2007   #4 (permalink)
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Re: Turning A Sphere Inside-Out

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Thanks for the link! I found a number of stills and short videos of the 1998 technique. However, I couldn't make hide nor hair of how they did it.
by Pyrotex
Funny I can't seem to do it with a basket ball!!!
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Old 10-11-2007   #5 (permalink)
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Re: Turning A Sphere Inside-Out

Wow! I just watched it and I am amazed!
Those animations are top notch and the whole production was presented in a very logical and easy-to-digest manner.

My only peeve is: Where are their equations to back it up?


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