Loads of viral videos, games, memes, lists and social networking for when you're bored. Updated every day, so visit often.

Most Bookmarked

Lifestyle, Arts & Lit.

News & Politics

More 4-Dimension Objects: The Klein Bottle

This is a Klein Bottle: a 4-D object that is `non-orientable.` It is to 4-D what a Mobius Strip is to 3-D.

submitted by: MacGuffin

< Back Next >

Hits: 8122 | Favorites: 2 | Emailed: 1 | Rating: 1.7 | Category: Science | Date: 07/18/2012

The WTFs of the Day, Part 1 [21 Pics]

All things Batman on I-A-B, Part 1 [19 Pics]

Incredibly horrible tattoos, Part 1 [20 Pics]

popular today

	That`s The Spot [Pic] And maybe that`s the spot too.... awww yiss.
	Need I Say More, It`s Japanese Eyeballs, bewbs, explosions.
	26 Weird `Wow-I-Didn`t-Know-That` Facts [Pic] All I have to say is Guinness is/was genius.
	Can Anyone Else Figure This One Out? [Pic] I think the police may want to rethink that statement. Too busy to investigate?
	66 Pics Of Insanely Hot Cosplay Girls Aaaaaand I achieved.

More Comments >

doug1963aaa Male, 40-49, Southern US 347 Posts	Sunday, July 22, 2012 6:54:28 PM @MacGuffin: I have written software that allows one to visualise true 4-d objects in 3-d using 3-d glasses. I have spent a good amount of time over the last 30 years working on it, and I have gained a solid understanding of 4-d geometry in the process.

MacGuffin Female, 30-39, Europe 2597 Posts	Saturday, July 21, 2012 1:37:12 PM >>>@MacGuffin: I don't know why you keep insisting that Klein bottles are 4D objects when they are clearly NOT. ... Hell, you can buy Klein bottles! http://www.kleinbottle.com/ <<< Well, if you can buy 3D projections of the real thing on the internet and everything, that must prove that the 4D object that said 3D projection is a projection of can`t exist. Read this, then realise how mistaken you are. To quote: "While the Möbius strip can be embedded in three-dimensional Euclidean space R3, the Klein bottle cannot. It can be embedded in R4, however." As I said, this is a 3D projection of such an embedding in R4 - that`s how the object is shown to pass through itself. That only happens in 4D.

MacGuffin Female, 30-39, Europe 2597 Posts	Saturday, July 21, 2012 1:26:05 PM @MacGuffin--a 4-d Klein Surface would not show an intersection and would rotate without any flattening. This is a matter of some expertise for me. Again, this is a 3D projection of a 4D Klein Bottle. Nobody is saying that it is the 4D object itself. If it was, we'd be unable to perceive it, since we live in 3D. I guess it`s not that much of an area of expertise for you, or you`d be able to understand that simple concept.

HiEv Male, 40-49, Eastern US 384 Posts	Saturday, July 21, 2012 4:17:13 AM @MacGuffin: I don't know why you keep insisting that Klein bottles are 4D objects when they are clearly NOT. Seriously, no part of a Klein bottle needs to project into the 4th dimension for it to be a Klein bottle, therefore it is, by definition, not a 4D object. Hell, you can buy Klein bottles! http://www.kleinbottle.com/ Since we cannot build 4D objects, doesn`t that prove to you that they`re not 4D?!? (Or do you have some strange definition of 4D that most of us don`t use?)

Squrlz4Sale Male, 40-49, Eastern US 3575 Posts	Thursday, July 19, 2012 11:14:49 PM Yeah, I uhhh... have no idea what's going on here. ~looks for this thread`s exit~

More Comments >

Bored | Suggest a Link | Contact I Am Bored | About I Am Bored | Link to I Am Bored | Live Submission | Privacy | Ad Choices | Copyright Policy |

© 2013 Demand Media, Inc. All rights reserved.