Re: Mike Throll 5
From uncle monty <unc...@babyfishmouth.com>
· alt.ascii-art
· 19 Sep 2001 15:10 · View full thread
· report
Ilmari Karonen <ilt...@sci.invalid> wrote: : In article <3ba...@News.CIS.DFN.DE>, Timofei Shatrov wrote: :>On 17 Sep 2001 17:38:49 GMT, uncle monty <unc...@babyfishmouth.org> tried to :>confuse everyone with this message: :> :>>Given an initial separation of the plane RxR into a subset A and not-A, :>>and an iterative process which at each step assigns membership in A to :>>each point outside A whose circular neighbourhood of radius 1 has a :>>greater intersection with A than with not-A, and removes each point :>>previously within A whose circular neighbourhood of radius 1 has a greater :>>intersection with not-A than with A, is it possible to choose initial A :>>such that its area will increase by a factor of 1000 or more during the :>>process? :>>I imagine it is some :>>impossible fractal shape to begin with. :> :>No way. It's not very complicated. Just try to invent blot that can increase and :>then magic word "asymptotics". Well, I found a blot that can increase, but not a thousand-fold... take a very large "sheet" of ink and punch holes in it, with diameter slightly less than 1/sqrt(2pi)... unless they are spaced too close together they will all be filled after one generation, while only the outer edge of the whole sheet will have started degrading... am I on the right track?
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f996b,1c2897ed56918deb X-Google-Attributes: gidf996b,public X-Google-ArrivalTime: 2001-09-19 08:30:06 PST Path: archiver1.google.com!newsfeed.google.com!newsfeed.stanford.edu!news-spur1.maxwell.syr.edu!news.maxwell.syr.edu!out.nntp.be!propagator-SanJose!news-in!easynews!sjc-peer.news.verio.net!news.verio.net!stl-feed.news.verio.net!newsreader.wustl.edu!news.fas.harvard.edu!not-for-mail From: uncle monty <unc...@babyfishmouth.com> Newsgroups: alt.ascii-art Subject: Re: Mike Throll 5 Date: 19 Sep 2001 15:10:55 GMT Organization: aerowalk Lines: 26 Message-ID: <9oachv$795$1...@news.fas.harvard.edu> References: <3ba...@News.CIS.DFN.DE> <9o5cf9$m7f$1...@news.fas.harvard.edu> <3ba...@News.CIS.DFN.DE> <100...@itz.pp.sci.fi> NNTP-Posting-Host: is04.fas.harvard.edu Xref: archiver1.google.com alt.ascii-art:7658
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