(http://upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Klein_bottle.svg/250px-Klein_bottle.svg.png)
The Klein Bottle. A 3 dimensional object, with one surface.
Is the klein bottle a valid explanation of the fourth dimension?
Now find the surface area. psyduck;
Quote from: Bassir C. on November 27, 2007, 02:24:03 PM
Now find the surface area. psyduck;
it has an infinite surface area
Quote from: Selkie on November 27, 2007, 02:34:14 PM
Why not?
You start at one ring around it, then measure the path along the surfaces until you reach the same ring again psyduck;
Quote from: bluaki on November 27, 2007, 02:38:28 PM
You start at one ring around it, then measure the path along the surfaces until you reach the same ring again psyduck;
edumacate;
...What's so special about it?
what about (http://upload.wikimedia.org/wikipedia/commons/5/55/8-cell-simple.gif)?
Quote from: Selkie on November 27, 2007, 02:23:31 PM
Is the klein bottle a valid explanation of the fourth dimension?
why would it be
Quote from: Selkie on November 27, 2007, 02:30:22 PM
it has an infinite surface area
how do you figure that? psyduck;
it can be constructed (well, closely emulated at the very least given that the self-intersection presents a problem) with a finite amount of material, thus it has a finite surface area psyduck;
it's not all that different from a mobius strip; it's just something with no distinction between the inside and outside, not a representation of the fourth dimension what the christ psyduck;
Quote from: No on November 27, 2007, 02:47:19 PM
what about (http://upload.wikimedia.org/wikipedia/commons/5/55/8-cell-simple.gif)?
yes what about it
No. That's like saying MC Escher's work is a valid explanation for string theory.
Quote from: bluaki on November 27, 2007, 03:59:48 PM
No. That's like saying MC Escher's work is a valid explanation for string theory.
Haha, true. I laughed.
http://video.google.com/videoplay?docid=-97057222894136590
Enjoy
no
Quote from: Selkie on November 27, 2007, 02:30:22 PM
it has an infinite surface area
So a sphere has an infinite surface area because there's not an endpoint? psyduck;
Quote from: reefer on November 27, 2007, 06:01:59 PM
http://video.google.com/videoplay?docid=-97057222894136590
Enjoy
I've envisioned up to the 7th dimension before...but the rest just blows my mind. psyduck;
Get me moar. I like blowing up my mind. caterpie;
Quote from: wolflink64 on November 27, 2007, 07:01:00 PM
I've envisioned up to the 7th dimension before...but the rest just blows my mind. psyduck;
Get me moar. I like blowing up my mind. caterpie;
(http://www.debreuil.com/sky2005/Downloads/Pictures/Gun.png)