From albanycs!leah:rsb584 Sun Apr 24 22:46:26 1988 Received: by albanycs.albany.edu (5.54/4.8) id AA14605; Sun, 24 Apr 88 23:39:20 EDT Date: Sun, 24 Apr 88 23:39:17 EDT From: albanycs!leah:rsb584 (Raymond S Brand) Received: by leah.Albany.EDU (5.58/1.1) id AA15928; Sun, 24 Apr 88 23:39:17 EDT Message-Id: <8804250339.AA15928@leah.Albany.EDU> To: albanycs:beowulf!rsbx Subject: fractals.ref >From garvin@uhccux.UUCP Fri Apr 22 01:33:33 1988 Path: leah!uwmcsd1!bbn!mit-eddie!ll-xn!ames!ucsd!nosc!humu!uhccux!garvin From: garvin@uhccux.UUCP (Jay Garvin) Newsgroups: comp.graphics Subject: Fractals! Summary: References for getting started with Fractals Keywords: Fractals, Mandelbrot, Julia, Chaos, Iteration in the Complex Plane Message-ID: <1776@uhccux.UUCP> Date: 22 Apr 88 05:33:33 GMT Expires: 1 Jun 88 10:00:00 GMT References: <811@unioncs.UUCP> Reply-To: garvin@uhccux.UUCP (Jay Garvin) Organization: University of Hawaii Computing Center Lines: 147 Cc: garvin@uhccux.UUCP In article 811 (David Shinberg) writes: *I am starting a project that will entail displaying and generating fractal *>landscapes on a Mac II...... *>[...] *>Any Help will be greatly appreciated, even just a few good references that *>have some algorithms explained. *> Thanks in Advance *> Dave ------------------------------------------------------------------------------ ---Ok, Dave!, Here are a few of the classics to get you started: NOTE: These books are worth buying a copy to keep for yourself. AUTHOR: Mandelbrot, Benoit B TITLE: The Fractal Geometry of Nature PUBLISHER: San Francisco: W.H. Freeman PUB DATE: (c) 1982 DESCRIPTION: 400p, 1 leaf of plates : ill. (some color) 24cm LANGUAGE: English SUBJECT: Geometry Mathematical models Stochastic processes NOTES: Rev. ed. of: Fractals. (c)1977 Includes indexes BIBLIOGRAPHY: Bibliography: p. [425] 443 AUTHOR: Peitgen, Heinz-Otto, 1945- Richter, P.H. (Peter H.), 1945- TITLE: The Beauty of Fractals: Images of Complex Dynamical Systems PUBLISHER: Barlin; New York: Springer-Verlag PUB DATE: (c) 1986 DESCRIPTION: xii, 199p. :illus. (some color) ; 20cm LANGUAGE: English SUBJECT: Fractals NOTES: includes index. Includes indexes BIBLIOGRAPHY: Bibliography: p. [425] 443 AUTHOR: Mandelbrot, Benoit B TITLE: Fractals: Form, Chance, and Dimension PUBLISHER: San Francisco: W.H. Freeman PUB DATE: (c) 1977 DESCRIPTION: xvi, 365p. : illustr. ; 24cm LANGUAGE: English SUBJECT: Geometry Mathematical models Stochastic processes NOTES: Translation of Les objets Fractals. Includes indexes BIBLIOGRAPHY: Bibliography: p. [333]-346 AUTHOR: Falconer, K. J. TITLE: The Geometry of Fractal sets PUBLISHER: Cambridge [Cambridgeshire] ; New York : Cambridge Univ. Press PUB DATE: (c) 1985 DESCRIPTION: xiv, 162 p. ; 24cm LANGUAGE: English SERIES: Cambridge tracts in mathematics ; 85 SUBJECT: Fractals Geometric measure theory NOTES: Includes index. BIBLIOGRAPHY: Bibliography: p. [150]-160 Magazine Articles: Scientific American, August 1985, Cover Article Computer Recreations: A computer microscope zooms in for a look at the most complex object in mathematics A. K. Dewdney Scientific American, **issue unknown** Computer Recreations: Of fractal mountains, graftal plants and other computer graphics at Pixar A. K. Dewdney BYTE, December 1987 Mimicking Mountains Modeling the curves and surfaces of coastlines, mojntains, and wood grains requires fractal geometry Tom Jeffery (Sorry if there are any errors, as I typed this in by hand...) --Also see the references at the ends of the above books and articles.-- I've done some work at Cornell University at the Computer Aided Design Instructional Facility working with code of my own and that of John Hubbard (of the Hubbard Fractal Research Facility, Cornell) so I'll be glad to help you out and get you started. I'm pretty busy though, so it'll have to be just whenever I have time. I co-authored an article re: fractals in Psych. & Psychophysics but it concerns a different aspect than I think you are interested in, so it probably wouldn't be of much use to you. Are you interested in textures and fractal mountains and the like, or in the Mandelbrot set, a la the landscape on the cover of Peitgen's book (qv.) ? A good starting place might be "the article that started it all" in the August 1985 issue of Scientific American, then move on to the "DO IT YOURSELF" section of Peitgen's book which starts on page 189. Then for Fractal Surfaces check the December 1987 BYTE article and pp 264&5 in Mandelbrot's "The Fractal Geometry of Nature" and be sure not to miss the color plates in the "BOOK WITHIN A BOOK" section... [To the NET:] If anyone has any other references they especially like, please tell me too, ok? I'm always interested in new sources! Likewise, if you have any code which has anything to do with fractals, Mandelbrot set, Julia sets, fractal mountains, Brownian Fractals, Iterated Function Systems, Fluid Flow modeling, Graphics Rendering, and Fractal Music please let me know. Programs for Mac, MacII, AMIGA, IBM-PC, VAX, FPS, IBM, HP, SUN machines are all fine, as are the languages PASCAL, FORTRAN, C, BASIC, MODULA-2, LISP, and COBOL.....(<--Just seeing if you're still awake on that last one! Boy, nothin' like using COBOL for those iterations in the complex plane,eh?? I can see it now......."Lighspeeeeeeeeeed COBOL"! :) Hope this helps you out, Dave. Good Luck! -Jay SIMON SAYS: "Don't do what Simon Says!" ============================================================================= | Jeffrey Jay Garvin _ Electronic Mail: | | Computer Specialist __| | _ BITNET: | | University of Hawaii |__ |_| |__ garvin@uhccux.BITNET | | Computing Center ____| ____| InterNet: | | 2565 The Mall |__ _ |__ garvin@uhccux.uhcc.hawaii.edu | | Keller Hall Rm 201 |_| | __| UUCP: | | Honolulu, HI 96822 |_| {ihnp4,uunet,dcdwest,ucbvax} | | USA Phone: (808) 948-7351 !ucsd!nosc!uhccux!garvin | =============================================================================