Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!sdd.hp.com!think.com!yale!quasi-eli!cs.yale.edu!musgrave-forest From: musgrave-forest@cs.yale.edu (F. Ken Musgrave) Newsgroups: comp.graphics Subject: Re: fractals with dimension greater than 3? Message-ID: <29929@cs.yale.edu> Date: 9 Apr 91 14:01:15 GMT References: <1991Apr4.163135.25063@leland.Stanford.EDU> Sender: news@cs.yale.edu Organization: Yale University Computer Science Dept., New Haven, CT 06520-2158 Lines: 21 Nntp-Posting-Host: systemsy-gw.cs.yale.edu Originator: musgrave@bugs.CS.Yale.Edu In article <1991Apr4.163135.25063@leland.Stanford.EDU> rick@hanauma.Stanford.EDU (Richard Ottolini) writes: > >I notice there are some geological phenemena that are scale-invariant in 3-D >and over time. Is this a fractal with dimension at least 3? I depends upon the geological fractal you're talking about. Mountains may be seen as 2.x dimensional, and clouds as zerosets of 3.x dimensional fractals (as the coastline is the zeroset of a mountain). So you may already invoke a fractal dimension greater than 3 in a geological structure, even without taking time into acount. I'm trying to imagine a phenomenon with the same statistical beavior in time as in space... Can you be more specific? Ken -- "But what do we do about moose and squirrel?" -Boris Badanov F. Kenton ("Ken") Musgrave musgrave@yale.edu (203) 432-4016 Yale U Depts of Math and CS Box 2155 Yale Station New Haven, CT 06520