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  How to theoretically turn a sphere inside out - awesome video  (Read 1374 times)
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Offline Ultroman

JGO Knight


Medals: 25
Projects: 1


Snappin' at snizzes since '83


« Posted 2013-01-26 18:25:18 »

I found these awesome, old videos about the subject, and wanted to share them with you guys. Maybe someone can explode the brains of the players of their game, by doing it real-time in-game ^^

Part 1 - http://www.youtube.com/watch?v=sKqt6e7EcCs

Part 2 - http://www.youtube.com/watch?v=x7d13SgqUXg

- Jonas
Offline ra4king

JGO Kernel


Medals: 345
Projects: 3
Exp: 5 years


I'm the King!


« Reply #1 - Posted 2013-01-26 21:42:00 »

Damn that was interesting! O___O

I never expected to watch the whole thing.....thanks!

Offline Ultroman

JGO Knight


Medals: 25
Projects: 1


Snappin' at snizzes since '83


« Reply #2 - Posted 2013-01-26 22:38:34 »

Damn that was interesting! O___O

I never expected to watch the whole thing.....thanks!
Exactly what I was thinking when I saw it! Cheesy

- Jonas
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Offline sproingie

JGO Kernel


Medals: 202



« Reply #3 - Posted 2013-01-27 02:43:26 »

Check out the "Banach Tarski Paradox" sometime for more perverse things you can do with spheres.
Offline Ultroman

JGO Knight


Medals: 25
Projects: 1


Snappin' at snizzes since '83


« Reply #4 - Posted 2013-01-27 03:07:51 »

Check out the "Banach Tarski Paradox" sometime for more perverse things you can do with spheres.
I read the entire thing, and I still don't know how to tell other people about this Huh

- Jonas
Offline ra4king

JGO Kernel


Medals: 345
Projects: 3
Exp: 5 years


I'm the King!


« Reply #5 - Posted 2013-01-27 03:13:23 »

Check out the "Banach Tarski Paradox" sometime for more perverse things you can do with spheres.
What. The. Hell?! My mind has stopped functioning properly now.

Offline cheatsguy

Junior Member


Medals: 3


Gamer turned Pixel Artist turned Programmer


« Reply #6 - Posted 2013-01-27 03:16:19 »

Isn't that basically the same as infinity/2 = infinity? (a mathematical sphere has an infinite number of points)

Busy between school, work, life, games, programming and general screwing around.
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Offline deepthought
« Reply #7 - Posted 2013-01-27 03:39:26 »

Check out the "Banach Tarski Paradox" sometime for more perverse things you can do with spheres.


The way you say that makes it sound dirty.

jocks rule the highschools. GEEKS RULE THE WORLD MWAHAHAHA!!
captain failure test game
Offline sproingie

JGO Kernel


Medals: 202



« Reply #8 - Posted 2013-01-27 05:09:51 »

Isn't that basically the same as infinity/2 = infinity? (a mathematical sphere has an infinite number of points)

Anything that isn't a point has an infinite number of points.  The paradox allows this trick to happen with a finite number of shapes, but the shapes are themselves unmeasurable sets of points.  The last panel of this xkcd shows what happens when you allow such "unmeasurable sets":


Offline ra4king

JGO Kernel


Medals: 345
Projects: 3
Exp: 5 years


I'm the King!


« Reply #9 - Posted 2013-01-27 06:03:15 »

Ha! I remember that XKCD! And I finally now understand it! What is the hover text?

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Offline sproingie

JGO Kernel


Medals: 202



« Reply #10 - Posted 2013-01-27 17:16:36 »

"The Banach-Tarski theorem was actually first developed by King Solomon, but his gruesome attempts to apply it set back set theory for centuries."

http://xkcd.com/804/
Offline Roquen
« Reply #11 - Posted 2013-01-27 19:05:07 »

I'd say an easier way to think about topology is that things are made of an infinitely stretchable and compressible material that doesn't tear.  If you want a hole, you gotta cut it.
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