Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site sdcsvax.UUCP Path: utzoo!watmath!clyde!burl!ulysses!allegra!oliveb!hplabs!sdcrdcf!sdcsvax!hutch From: hutch@sdcsvax.UUCP (Jim Hutchison) Newsgroups: net.graphics,net.math Subject: Re: Mandelbrot set problem Message-ID: <1188@sdcsvax.UUCP> Date: Sun, 10-Nov-85 19:21:22 EST Article-I.D.: sdcsvax.1188 Posted: Sun Nov 10 19:21:22 1985 Date-Received: Wed, 13-Nov-85 08:28:56 EST References: <2346@flame.warwick.UUCP> Reply-To: hutch@sdcsvax.arpa (Jim Hutchison) Organization: UCSD EMU Project (Educational Microcomputer Unix) Lines: 29 Xref: watmath net.graphics:1261 net.math:2511 Summary: In article <2346@flame.warwick.UUCP> kay@flame.UUCP (Kay Dekker) writes: > >The browser decides that a point lies within the set if its magnitude after >a maximum number of iterations is < 2.0. > Is this the set relating to the inverse function f(z) = z^2 + c? I guess that is what you are up to (Really, there is much more). You get to iterate the function. It is infact very time consuming. If you wish to just get outlines, then it is cheaper (use error analysis, see also Bresenham, who is never sufficiently blessed). The reason for the choice of 2.0 is that for this given function, if it passes the value of 2.0, then it is going to go to infinity (which is what you are really checking for). The "Mandelbrot Space", (not my term, just as a touchstone), is the area where the function never goes to infinity. The pretty colors ('stones'), are chosen by the speed at which practical infinity is reached. 2.0 = infinity, for proper values of 2.0 :-) >"Be careful: the system is complex and chaotic, though it > has many attractive features..." > _The Pot-holes of the Yorkshire Moors_ Fractals? -- /* Jim Hutchison UUCP: {dcdwest,ucbvax}!sdcsvax!hutch ARPA: hutch@sdcsvax [ Of course, these statements were typed into my terminal while I was away. ] */