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22a: Where can I obtain software packages to generate fractals?


This article is from the Fractal FAQ, by Ermel Stepp stepp@muvms6.mu.wvnet.edu with numerous contributions by others.

22a: Where can I obtain software packages to generate fractals?

For X windows:
xmntns and xlmntn: these generate fractal mountains. They can be obtained
from ftp: ftp.uu.net:/usenet/comp.sources.x/volume8/xmntns
xfroot: generates a fractal root window.
xmartin: generates a Martin hopalong root window.
xmandel: generates Mandelbrot/Julia sets.
xfroot, xmartin, xmandel are part of the X11 distribution.
lyap: generates Lyapunov exponent images. Ftp from:
ftp.uu.net:/usenet/comp.sources.x/volume17/lyapunov-xlib .
spider: Uses Thurston's algorithm for computing postcritically finite
polynomials, draws Mandelbrot and Julia sets using the Koebe
algorithm, and draws Julia set external angles. Ftp from:
lyapunov.ucsd.edu:pub/inls-ucsd/spider .
xfractal: fractal drawing program. Ftp from: clio.rz.uni-
duesseldorf.de:/X11/uploads [].

Distributed X systems:
MandelSpawn: computes Mandelbrot/Julia sets on a network of
machines. Ftp
from: export.lcs.mit.edu:/contrib [] or
funic.funet.fi:/pub/X11/contrib [] in mandelspawn-
gnumandel: computes Mandelbrot images on a network. Ftp from:
ftp://informatik.tu-muenchen.de/pub/GNU/ [].

For SunView:
Mandtool: A Mandelbrot computing program. Ftp from:
ftp://spanky.triumf.ca/fractals/programs/ ; code is in M_TAR.Z .

For Unix/C:
lsys: generates L-systems as PostScript or other textual output. No
graphical interface at present. (in C++) Ftp from:
ftp.cs.unc.edu:/pub/leech/lsys.tar.Z .
lyapunov: generates PGM Lyapunov exponent images. Ftp from:
ftp.uu.net:/usenet/comp.sources.misc/volume23/lyapuov . SPD: contains
generators for fractal mountain, tree, recursive tetrahedron. Ftp
from: ftp://princeton.edu/pub/ [].
Fractal Studio: Mandelbrot set program; handles distributed computing.
Ftp from archive.cs.umbc.edu:/pub/peter/fractal-studio
Xmountains: An X11-based fractal landscape generator. Ftp from
ftp.epcc.ed.ac.uk:/pub/personal/spb/xmountains .

For Mac:
LSystem, 3D-L-System, IFS, FracHill, Mandella and a bunch of others are
available from ftp://uceng.uc.edu/pub/wuarchive/edu/math/mac/
[] or ftp://wuarchive.wustl.edu/edu/math/mac/ .
(These are also available in New Zealand at ccu1.auckland.ac.nz.)
fractal-wizard.hqx, julias-dream-107.hqx, mandella-87.hqx, and others are
under app in the info-mac archive: ftp://sumex-aim.stanford.edu/
[], or a mirror such as
ftp://plaza.aarnet.edu.au/micros/mac/ [].
mandel-tv: a very fast Mandelbrot generator. Under sci at info-mac.
There are also commercial programs, such as IFS Explorer and Fractal Clip
Art, which are published by Koyn Software (314) 878-9125.

For NeXT:
Lyapunov: generates Lyapunov exponent images. Ftp from:
ftp://nova.cc.purdue.edu/pub/next/2.0-release/ .

DEEPZOOM: a high-precision Mandelbrot program for displaying highly zoomed
fractals. Ftp from spanky.triumf.ca [] in
[pub.fractals.programs.ibmpc] depzm13.zip.
Fractal WitchCraft: a very fast fractal design program. Ftp from:
ftp://garbo.uwasa.fi/pc/demo/ [].
CAL: generates more than 15 types of fractals including Mandelbrot,
Lyapunov, IFS, user-defined formulas, logistic equation, and
quaternion julia sets. Ftp from: ftp://oak.oakland.edu/pub/msdos/
[] (or any other Simtel mirror) in frcal035.zip.
Fractal Discovery Laboratory: designed for use in a science museum or
school setting. The Lab has five sections: Art Gallery ( 72 images --
Mandelbrots, Julias, Lyapunovs), Microscope ( 85 images -- Biomorph,
Mandelbrot, Lyapunov, ...), Movies (165 images, 6 "movies":
Mandelbrot Evolution, Splitting a Mini-Mandelbrot, Fractal UFO, ...),
Tools (Gingerbreadman, Lorentz Equations, Fractal Ferns, von Koch
Snowflake, Sierpinski Gasket), and Library (Dictionary, Books and
Articles). Sampler available from Compuserver GRAPHDEV Lib 4 in
DISCOV.ZIP, or send high-density disk and self-addressed, stamped
envelope to: Earl F. Glynn, 10808 West 105th Street, Overland Park,
Kansas 66214-3057.
WL-Plot: plots functions including bifurcations and recursive relations.
Ftp from ftp://wuarchive.wustl.edu/edu/math/msdos/ in wlplt231.zip.
There are many fractal programs available from
ftp://oak.oakland.edu/pub/msdos/ []:
forb01a.zip: Displays orbits of Mandelbrot mapping. C/E/VGA
fract30.arc: Mandelbrot/Julia set 2D/3D EGA/VGA Fractal Gen
fractfly.zip: Create Fractal flythroughs with FRACTINT
fdesi313.zip: Program to visually design IFS fractals
frain182.zip: FRACTINT v18.1 EGA/VGA/XGA fractal generator
frasr182.zip: C & ASM src for FRACTINT v18.1 fractal gen.
frcal040.zip: Fractal drawing program: 15 formulae available
frcaldmo.zip: 800x600x256 demo images for FRCAL030.ZIP

For Windows:
dy-syst.zip. This program explores Newton's method, Mandelbrot set, and
Julia sets. Ftp from mathcs.emory.edu:/pub/riddle .

For Amiga: (all entries marked "ff###" are .lzh files in the Fish Disk set
available at ftp://ux1.cso.uiuc.edu/amiga/ and other sites)
General Mandelbrot generators with many features: Mandelbrot (ff030),
Mandel (ff218), Mandelbrot (ff239), TurboMandel (ff302), MandelBltiz
(ff387), SMan (ff447), MandelMountains (ff383, in 3-D), MandelPAUG
(ff452, MandFXP movies), MandAnim (ff461, anims), ApfelKiste (ff566,
very fast), MandelSquare (ff588, anims)
Mandelbrot and Julia sets generators: MandelVroom (ff215), Fractals
(ff371, also Newton-R and other sets)
With different algorithmic approaches (shown): FastGro (ff188, DLA),
IceFrac (ff303, DLA), DEM (ff303, DEM), CPM (ff303, CPM in 3-D),
FractalLab (ff391, any equation)
Iterated Function System generators (make ferns, etc): FracGen (ff188,
uses "seeds"), FCS (ff465), IFSgen (ff554), IFSLab (ff696, "Collage
Unique fractal types: Cloud (ff216, cloud surfaces), Fractal (ff052,
terrain), IMandelVroom (strange attractor contours?), Landscape
(ff554, scenery), Scenery (ff155, scenery), Plasma (ff573, plasma
Fractal generators: PolyFractals (ff015), FFEX (ff549)
Lyapunov fractals: Ftp from: ftp://ftp.luth.se/pub/aminet/new/
Commercial packages: Fractal Pro 5.0, Scenery Animator 2.0, Vista
Professional, Fractuality (reviewed in April '93 Amiga User
MathVISION 2.4. Generates Julia, Mandelbrot, and others. Includes
software for image processing, complex arithmetic, data display,
general equation evaluation. Available for $223 from Seven Seas
Software, Box 1451, Port Townsend WA 98368.

Software for computing fractal dimension:
Fractal Dimension Calculator is a Macintosh program which uses the box-
counting method to compute the fractal dimension of planar graphical
objects. Ftp from:
ftp://wuarchive.wustl.edu/edu/math/mac/fractals/ or
ftp://wuarchive.wustl.edu/packages/architec/Fractals/ .
FD3: estimates capacity, information, and correlation dimension from a
list of points. It computes log cell sizes, counts, log counts, log
of Shannon statistics based on counts, log of correlations based on
counts, two-point estimates of the dimensions at all scales examined,
and over-all least-square estimates of the dimensions. Ftp from:
ftp://lyapunov.ucsd.edu/pub/ []. Also look in
ftp://lyapunov.ucsd.edu/pub/ for an enhanced Grassberger-Procaccia
algorithm for correlation dimension. A MS-DOS version of FP3 is
available by request to gentry@altair.csustan.edu.


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