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A model super tanker intricately assembled half in and half out of a Klein bottle intriguingly illustrates the one-sided container’s properties.
(?) sketch
http://www.geocitie...nnie/kleinship.html
[FarmerJohn, Oct 04 2004, last modified Oct 21 2004]
I like these..
http://www.kleinbot...ein_bottle_hats.htm
[po, Oct 04 2004, last modified Oct 21 2004]
Klein Croissant.
http://www.meru.org/Advisors/klein.html
[egbert, Oct 04 2004, last modified Oct 21 2004]
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Annotation:
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So, you mean the tanker is single sided too and the oil runs out, no matter where I put it? I wouldn't put that on my desk, no matter how gifted I am. |
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[kbecker] No, the tanker is three dimensional on the two dimension glass ocean, and being a model, it needn’t be filled with oil. One could fill it with Cutty Sark scotch as a Klein hip flask. |
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Captain: What the hell is that thing up ahead? |
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First Mate: I haven't got a clue. |
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Captain: It'd better not be that bloody Bermuda Triangle...we'll never get out. |
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Navigator: Worse, its a Bermuda Klein Bottle...we'll never get in. |
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First Mate: Red alert...all hands to Geometry stations... |
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Ow! I've just been looking at the Klein Botttle website. My head hurts! |
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Check out the page I've linked. Look at the diagrams of topological equivalents. Does "sausage" look vaguely familiar? (Stop sniggering at the back, there!) |
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I think the proposal to use the 2D "sausage" representation to mean 0/0 (or "indefinity") has a distinctly halfbakerish flavour. |
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I think the hb should adopt the keyring. thats so us! |
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But how do the deckhands know if they're coming or going? |
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FJ, anything with a Klein bottle gets my vote, especially this! |
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Oh, buddy, I want one. [+] |
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can someone please tell me whats really so special about a klien bottle? The neck is bent into the bottle. wow. |
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The mathematical version is more complex than that, Voice. It exists only in 4D space, and has no intersection between the neck and body where the 3D approximation does. |
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