Path: utzoo!utgpu!jarvis.csri.toronto.edu!mailrus!tut.cis.ohio-state.edu!ucbvax!ucsd!sdcsvax!ucsdhub!esosun!seismo!uunet!mcrware!jejones From: jejones@mcrware.UUCP (James Jones) Newsgroups: comp.graphics Subject: Re: Fractals Summary: not just the interior! Keywords: adaptive contour plotting, fractals Message-ID: <966@mcrware.UUCP> Date: 28 Feb 89 18:55:13 GMT References: <160.2404E090@muadib.FIDONET.ORG> <11150@s.ms.uky.edu> Reply-To: jejones@mcrware.UUCP (James Jones) Distribution: usa Organization: Microware Systems Corp., Des Moines, Iowa Lines: 13 The method mentioned (reference given to a recent *Scientific American*) of course applies to more than just the interior of the Mandelbrot set, though in this case that is where the major payoff comes. It is an appli- cation to contour plotting of adaptive techniques (which one can use for plotting curves as well, since, for example, adaptive trapezoidal quad- rature is just what you want to determine the segments to draw to approx- imate a function, and if you recur with the leftmost segment first, you need never lift the (figurative or actual) pen from the (figurative or actual :-) paper!). Beware of the usual things that can fake out adaptive techniques, e.g. periodicity (not much fear of that for the Mandelbrot set, though :-). James Jones