Hard Light Productions Forums

Off-Topic Discussion => General Discussion => Topic started by: Petrarch of the VBB on April 10, 2003, 05:34:10 am

Title: HOW?!? :starts to jibber:
Post by: Petrarch of the VBB on April 10, 2003, 05:34:10 am

Real Klein Bottles!

ACME Klein Bottles (http://www.kleinbottle.com/)

Title: HOW?!? :starts to jibber:
Post by: J.F.K. on April 10, 2003, 05:54:00 am

:shaking:

Klein bottles hurt my head...

Title: HOW?!? :starts to jibber:
Post by: Petrarch of the VBB on April 10, 2003, 05:59:30 am

Quite.

Buy one and use it as a specimen bottle!

Title: HOW?!? :starts to jibber:
Post by: Fetty on April 10, 2003, 06:50:28 am

hmm interesting

Title: HOW?!? :starts to jibber:
Post by: Rictor on April 10, 2003, 02:19:00 pm

can someone explain to me what a klein bottle is and why they're special??

Title: HOW?!? :starts to jibber:
Post by: Odyssey on April 10, 2003, 02:30:43 pm

Quote

Originally posted by Rictor
can someone explain to me what a klein bottle is and why they're special??

Look closely at the images on the page. It would seem that the base of the thing comes in, then out, around, and into the main area again. Craziness. I want one!

Title: HOW?!? :starts to jibber:
Post by: Stryke 9 on April 10, 2003, 03:10:04 pm

They're awesome, though I've always wondered how in the hell they make those things.

Title: HOW?!? :starts to jibber:
Post by: Petrarch of the VBB on April 10, 2003, 03:11:30 pm

More importantly, how would you get anything in or out of them?

Title: HOW?!? :starts to jibber:
Post by: Stryke 9 on April 10, 2003, 03:23:03 pm

Pour it in the bottom.

Title: HOW?!? :starts to jibber:
Post by: Petrarch of the VBB on April 10, 2003, 03:25:08 pm

Yes, but you then have to rotate the bottle to get it into the body of it. This makes pouring stuff out very awkward.

Title: HOW?!? :starts to jibber:
Post by: Goober5000 on April 10, 2003, 03:25:34 pm

A Klein bottle is a three-dimensional Mobius loop.  Brief explanation:

A Mobius loop is made by taking a two-dimensional strip, giving it a half-twist, and joining the ends.  It only has one edge, and the left is the same as the right.  The half-twist requires the use of the third dimension.

A Klein bottle is made by taking a three-dimensional cylinder, giving it a half-twist, and joining the ends.  It only has one face, and the inside is the same as the outside.  The half-twist requires the use of the fourth dimension.

Obviously, since we can't use the fourth dimension to make a Klein bottle, the bottle intersects itself.  (A Mobius strip would also intersect itself if you only had two dimensions to make it in.)

CP can probably wax more poetic on the coolness of the Klein bottle. :drevil:

Title: HOW?!? :starts to jibber:
Post by: Stryke 9 on April 10, 2003, 03:26:05 pm

It's really not designed as a storage tool. It's a cool toy.

Title: HOW?!? :starts to jibber:
Post by: Petrarch of the VBB on April 10, 2003, 03:32:57 pm

I am going to build a huge one and live in it!

Title: HOW?!? :starts to jibber:
Post by: SKYNET-011 on April 10, 2003, 04:29:41 pm

:wtf:

I'm still confused...

Title: HOW?!? :starts to jibber:
Post by: neo_hermes on April 10, 2003, 04:47:10 pm

so am i

Title: HOW?!? :starts to jibber:
Post by: Sandwich on April 10, 2003, 06:25:32 pm

Quote

Originally posted by Goober5000
A Klein bottle is a three-dimensional Mobius loop.  Brief explanation:

A Mobius loop is made by taking a two-dimensional strip, giving it a half-twist, and joining the ends.  It only has one edge, and the left is the same as the right.  The half-twist requires the use of the third dimension.

A Klein bottle is made by taking a three-dimensional cylinder, giving it a half-twist, and joining the ends.  It only has one face, and the inside is the same as the outside.  The half-twist requires the use of the fourth dimension.

Obviously, since we can't use the fourth dimension to make a Klein bottle, the bottle intersects itself.  (A Mobius strip would also intersect itself if you only had two dimensions to make it in.)

CP can probably wax more poetic on the coolness of the Klein bottle. :drevil:

I knew what Klein bottles were, but cool explanation anyway. :yes:

Title: HOW?!? :starts to jibber:
Post by: Vertigo1 on April 10, 2003, 07:07:31 pm

Heh, I never thought anyone would actually spend time to actually make one of those things. :p  That'd make for a neat lava lamp. :D

Title: HOW?!? :starts to jibber:
Post by: diamondgeezer on April 10, 2003, 07:22:53 pm

Quote

WHY DO YOU FILL MY BRAIN WITH HURTING?

Title: HOW?!? :starts to jibber:
Post by: CP5670 on April 10, 2003, 09:14:02 pm

Hey cool, maybe I should get one of those. :D That is not really a true Klein bottle though, since as Goober said, it cannot be realized in 3D due to the fact that it passes through itself. There is some information on it here: http://mathworld.wolfram.com/KleinBottle.html

This surface looks pretty normal though compared to some of the other stuff out there... ;7

Title: HOW?!? :starts to jibber:
Post by: tEAbAG on April 10, 2003, 10:27:00 pm

What the damn?

Them thingies is cool, but where are the four-dimensional ones?

Oh wait... there they are!!!  If I could only reach that... Ah! my hand disappered!:shaking: