h a l f b a k e r yClearly this is a metaphor for something.
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Inspired by ideas for re-using toilet roll cores.
A Klein Bottle has, theoretically, an infinite surface area, since it has only one surface and a single edge.
Therefore, a toilet roll wound on a Klein Bottle will have a similar infinte surface area.
Therefore it can never run out .....
Q.E.D.
Tinkertoy bog roll
Tinkertoy_20bog_20roll_20adapter
Prior art [8th of 7, Dec 13 2007]
(?) One Tube Deserves Another
One_20Tube_20Deserves_20Another
Prior Art [8th of 7, Dec 13 2007]
[link]
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Oh dear oh dear. No. A Klein bottle has
an unbounded surface, not an infinite one.
In this sense it is no different to a sphere. |
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Also, I suspect that toilet paper wound on
a Klein core would come off in the form a
Möebius strip. Do you really want to wipe
your bottom on something with only one
surface? |
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no-one likes a smart arse! |
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Who's calling me smart??? |
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It's true that puppies also have one
useable surface. But they're much more
absorbent and can be cleaned. |
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// A Klein bottle has an unbounded surface, not an infinite one // |
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Yes, we know.... just testing. |
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We find the whole Möebius strip thing deeply disturbing. |
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// and the puppies do what? // |
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Disappear into hyperspace, possibly ..... |
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W further propose a stylish tessseract-based holder for the core. |
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// Who's calling me smart??? // |
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A Tellytubby..... could be a complement, could be anything .... |
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I shall mull on this mootness. |
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Now I may be wrong on this, but all of the Klein bottles I've seen only have a single concavity. This would make it impossible to use a standard pass-through mounting. You could mount it gravitationally (i.e., "set it") on a peg, but the concavity will need to be / not be filled with tissue paper as well. I think the only way out would be to have an electromagnetic support in that tesseract, and a ferrous core so that it can be magnetically suspended. However, this would naturally be almost entirely friction-free, so if you gave the endless roll a yank, and it never stops... |
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I shall have to mull on that one too. |
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// Why not use donuts ? // |
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These too have one useable surface .... are you proposing also that they are "cleaned and used again" ? |
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If so, for what function ? |
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Are we talking chocolate-coated ring doughnuts here EEEEEWWWWWWww..... |
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//It's true that puppies also have one useable surface. But they're much more absorbent and can be cleaned// |
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Given cats' proclivity towards constant washing, might I suggest keeping one or two of those handy instead; by the time you need one it will have cleaned itself already, saving you the bother. |
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Re: the original suggestion: while useful to the extent that when you come to the end of a Moebian toilet roll you never have to remember if you've used the other side, that roll is of a finite length. |
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