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Article #233Fractals in other Geometries?
From: Matthew Hall
Date: Fri, 20 Nov 1992 22:55
Date: Fri, 20 Nov 1992 22:55
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1492 bytes
Hello
I have to give a presentation about fractals for my
non-Euclidean geometry class. Rather than just recite pretty much
what I already know about IFS's created with dilations, rotations, and
translations, I thought it would be much more interesting if I studied
IFS's in a geometry other than Euclidean.
Plane hyperbolic geometry looks very promising, since it has
the addition of another type of transform. However, I haven't found
any references to this. Eventually, I would like to prove the theorem
that says the random algorithm is equivalent to the deterministic
algorithm in non-euclidean geometries. If anyone has any help to give
me, or any sources of information, I would be very grateful.
Thanks,
-matt hall
--
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Matt Hall. mhall@occs.oberlin.edu OR SMH9666@OBERLIN.BITNET
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F(X)=M*X*(1-X)
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Newsgroups: sci.fractals Path: arc1-ca.pugleaf.net!sparky!uunet!caen!sol.ctr.columbia.edu!sol.ctr.columbia.edu!mhall From: mhall@occs.cs.oberlin.edu (Matthew Hall) Subject: Fractals in other Geometries? Sender: nobody@ctr.columbia.edu Organization: Oberlin College Computer Science Date: Fri, 20 Nov 1992 22:55:01 GMT Message-ID: <MHALL.92Nov20175501@occs.cs.oberlin.edu> Distribution: sci.fractals X-Posted-From: occs.cs.oberlin.edu NNTP-Posting-Host: sol.ctr.columbia.edu Lines: 22