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JebJoya · Unfettered Joined: 13 Apr 2005 Posts: 679 Location: UK

Mobius strip - one sided 3 dimensional thingy, easy way to make one is to grab a stip of paper, make it into a loop, twist it through 180 degs and stick it together.

If you could then stick together the one side in a 4-dimensional way then you'd have a klien bottle (a one faced, no edged object)...

Just random facts there...

Jeb

**Posted:** Wed Apr 20, 2005 11:58 pm

songofthephoenix · Veteran Joined: 02 Mar 2005 Posts: 84 Location: Sydney

**Posted:** Thu Apr 21, 2005 12:25 am

JebJoya · Unfettered Joined: 13 Apr 2005 Posts: 679 Location: UK

Sorry, a one faced no edged object which can be made of a flat sheet of something... Erm, yeah, it makes sense in my head, I just can't remember everything...

Erk.

Jeb

**Posted:** Thu Apr 21, 2005 12:34 am

PuzzledPineapple · Unfettered Joined: 07 Apr 2005 Posts: 352

The best thing about a Klien bottle is the fact that its inside is its outside, leading to the immensely popular joke (we mathmos only have a few up our sleeves):

Klien bottles for sale: enquire within.

The better one is:

Why did the chicken cross the Mobius strip?
To get to the same side.

**Posted:** Thu Apr 21, 2005 4:58 am

JebJoya · Unfettered Joined: 13 Apr 2005 Posts: 679 Location: UK

Heh, you wouldn't believe it, but I'm a mathmo, in fact have a lecture entitled "Geometry To Groups" in little over 50 minutes that I may or may not go to... Ahh well... Smile

Jeb

**Posted:** Thu Apr 21, 2005 5:08 am

Kastanok · Boot Joined: 14 Apr 2005 Posts: 65

[quote="PuzzledPineapple"]Klien bottles for sale: enquire within.[quote]

Razz

I like it! I prefere this one to the Mobius strip joke, really.

I am not a maths-type, they don't like me very much, but I still find it funny Smile

**Posted:** Thu Apr 21, 2005 5:26 am

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PuzzledPineapple · Unfettered Joined: 07 Apr 2005 Posts: 352

**Posted:** Thu Apr 21, 2005 6:03 am

Demontague · Boot Joined: 17 Mar 2005 Posts: 54

Klein bottles are awesome, although I still find myself with a headache after trying to envisage it in 4-dimensions. I have a small bottle that I reserve for confusing guests when they visit Smile

**Posted:** Thu Apr 21, 2005 7:13 am

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JebJoya · Unfettered Joined: 13 Apr 2005 Posts: 679 Location: UK

Meh, klien bottles aren't that hard to envisage in 4D, just think of the 3d near as damnit model, then make the spouty bit do a hop round the 4th dimension to avoid crossing itself Smile

It's just like drawing a figure of 8 on a piece of paper without letting it cross itself - just make it jump over at the crossing point in the 3rd dimension. Then just extrapolate the similar idea to the 4th. Easy Smile

Jeb

**Posted:** Thu Apr 21, 2005 8:32 am

JebJoya · Unfettered Joined: 13 Apr 2005 Posts: 679 Location: UK

Another mathmo joke (pure maths joke - get me Smile

)

x and e^x are walking down the road, all of a sudden from round the corner ahead of them, x spots a differential coming towards them

"Oh my god!" says x "That differential is going to come up and differentiate me to 1 then to nothing, what can I do?!"

"Don't worry" replies e^x "Just jump on my back and you'll be fine"

x hops on e^x's back so they're now xe^x, and they carry on towards the differential

"Hahaha," says x from e^x's back "you can't get me now!"

"Oh can't I?" Says the differential, a glint in his eye "I'm d by dy!"

Heehee Smile

Okay, hands up those that got this joke Smile

Jeb

**Posted:** Thu Apr 21, 2005 8:36 am

[PCGF]Jay

Get back to the puzzle laddie

**Posted:** Thu Apr 21, 2005 9:29 am

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**Posted:** Thu Apr 21, 2005 11:30 am

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**Posted:** Thu Apr 21, 2005 11:34 am

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**Posted:** Thu Apr 21, 2005 12:28 pm

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ahhhhh... now this is the kind of OT thread rant i like Laughing

**Posted:** Thu Apr 21, 2005 3:58 pm