h a l f b a k e r y"Look on my works, ye Mighty, and despair!"
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A Klein bottle made of transparent glass, on a stand.
Balanced somewhere on the bottle is a model sailing ship.
Thus the ship is both inside and outside the bottle simultaneously.
[link]
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Hmm, it would be interesting who thought of it first.
At least there's not a drone in sight. |
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How can the bottle be on the stand, if the stand is inside the bottle? |
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That's the wonder of BorgCo advanced topology. |
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I've never understood the fascination with Klein bottles. I don't see how putting the spout through the bottle makes it special. Sure it's a different topology, but so is a torus-shaped pillow or a mug with a hollow handle. The beer is in the mug but it's NOT IN THE MUG!!!!!!one!!!! |
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A torus is just a special case of a sphere. A mug with a hollow handle has a "rim". |
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The point about Möbius strips and Klein bottles is that you can traverse from any point on its surface to any other point without crossing an "edge"; they are a single, undivided surface. The Klein bottle is interesting because it maps into four dimensions. |
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//A torus is just a special case of a sphere.// No. |
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Didn't I see an Escher drawing of something like this
once? |
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“I’d rather a Klein bottle in front of me than a pre-
frontal lobotomy” - attributed to Albert Keinsteins. |
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When I was at school I recall drawing a Klein Blue
Bottle during the maths class in which we were
supposed to be learning about Mobius etc. I simply
added various fly features ie legs wings and
compound eyes to a drawing of the main body of
the bottle. Thinking of this was a short lived
matter of joy for me. I was detected by the
teacher, a rotten sadistic bastard called Cassidy,
whom we called 'the blinks' on account of a
nervous defect that was manifested in an
exaggerated regular closing of both eyes. Ever
since then, I have always connected Klein bottles
with
pain, fear and loathing. |
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Hmmm, we have a similar reaction when subjects like glacial moraines, hanging valleys, drumlins and erratics are mentioned. |
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// the teacher, a rotten sadistic bastard called Cassidy // |
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Let's get this right - NOT a geography teacher ? |
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Then again, while all Geography teachers are rotten sadistic bastards, there must be rotten sadistic bastards who aren't actually Geography teachers. |
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They probably own an atlas, or a road map, or a picture with hills in the background though. |
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<Registers microscopic twinge of empathy with [xen]/> |
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<RED ALERT ! RED ALERT !> |
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<Commences immediate filesystem purge and processor reboots from backing store, engages block isolation protection mode, re-initializes firewalls/> |
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</RED ALERT ! RED ALERT !> |
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