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Article #1342

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

#1342
From: James Oly
Date: Thu, 30 Jan 1997 00:00
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In article <32EF82AE.58F8@ix.netcom.com>,
\"Uncle Al\" Schwartz <UncleAl0@ix.netcom.com> wrote:
>Louis Hom wrote:
>> 
>> So, I'm trying to collect posters' favorite Things in Math & Science.
>>         For example, one of my favorite things is the solid that you get
>> when you rotate y=1/(log x) about the x-axis -- it has finite volume but an
>> infinite surface.  So if you had a container that shape, you could fill it
>> up with some finite quantity of paint, but it would never be enough to
>> actually paint the surface of the thing.
>
>It would take a while to pump the paint from the top to the bottom of
>the container, yes?
[snip]

Of course, you cannot completely fill this container by pouring into it,
since the speed of light constrains how quickly the paint can expand outward
at the bottom/side of the container.  The container can hold enough paint to
paint the entire surface (given the standard abstract paint), but the act of
painting it would take forever.

Jim
-----
-- 
Jim Oly <jamesoly@uiuc.edu>
"The universe doesn't give you any points for doing things that are easy."
     -- Captain John Sheridan, Babylon 5
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From: jamesoly@cs.uiuc.edu (James Oly)
Subject: Re: DAMN, THAT'S COOL! (Help a fellow geek)
Date: 1997/01/30
Message-ID: <5cqnn1$ih9@vixen.cso.uiuc.edu>
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references: <5cmpbo$nds@agate.berkeley.edu> <32EF82AE.58F8@ix.netcom.com>
organization: University of Illinois at Urbana-Champaign
newsgroups: alt.folklore.science,sci.math,sci.physics,bionet.general,sci.chem