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Article #1328

Re: DAMN, THAT'S COOL! (Help a fellow geek)

#1328
From: Austin Duncan Roche
Date: Wed, 05 Feb 1997 00:00
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More to the point:

What if the so called cylindrical can was made of gold, and you unrolled
the thing?

Austin Roche

In article <5coo52$ifm@agate.berkeley.edu>,
Mark Rajesh Das <rmarkd@uclink2.berkeley.edu> wrote:
>Xcott Craver (caj@holmes.math.niu.edu) wrote:
>
>: 	Or, a cylindrical can whose base is the Koch snowflake would
>: do the trick, and would actually fit on a shelf.
> Just curious, but by _one_of_ the definitions I have for a fractal
>(i.e. fractional dimension, it has infinite length, but zero area)
>wouldn't any fractal base accomplish the same (a,e)ffect?  
>
>: 	I think it would be more mind-boggling to point out that
>: the can holds a finite amount of paint, but it takes an infinite amount
>: of paint to paint THE INSIDE.  Aren't you technically painting the
>: inside when you fill it up with that finite amount of paint???
>
>: 	Of course, this problem stems from the abstraction that the 
>: layer of paint you lay down on a surface is infinitely thin, which 
>: isn't true in reality, and serves as an amusing reminder that areas
>: and volumes are not comparable mathematically the way they are in 
>: the real world.
> Yeah, I was just about to bring up the point you brought up above.
> But alas, you beat me to the point.
>
>:  ,oooooooo8     o     ooooo@math.niu.edu  --  http://www.math.niu.edu/~caj/
>: o888'   `88   ,888.    888                                                 
>: 888          ,8'`88.   888   "What he can do with numbers would make a
>: 888o.   ,oo ,8oooo88.  888    thousand-dollar-a-night hooker blush like
>: `888oooo88 o88o  o888o 888    a nun."             
>: ____________________8o888'______________-Hank Jennings, _Twin_Peaks._ _____
>
>
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From: adroche@daisy.uwaterloo.ca (Austin Duncan Roche)
Subject: Re: DAMN, THAT'S COOL! (Help a fellow geek)
Date: 1997/02/05
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