Subject: Fractal software                           
                                                                              
   Q22: Where can I obtain software packages to generate fractals?            
   A22:                                                                       
     * Amiga                                                                  
     * Java                                                                   
     * Macintosh                                                              
     * MS-DOS                                                                 
     * MS-Windows                                                             
     * SunView                                                                
     * UNIX                                                                   
     * X-Windows                                                              
                                                                              
     * Software to calculate fractal dimension                                
                                                                              
  For Amiga:                                                                  
                                                                              
   (all entries marked "ff###" are directories where the inividual archives of
the Fred Fish Disk set available at ftp://ftp.funet.fi/pub/amiga/fish/ 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 Theorem")      
   Unique fractal types: Cloud (ff216, cloud surfaces), Fractal (ff052,       
terrain), IMandelVroom (strange attractor contours?), Landscape (ff554,       
scenery), Scenery (ff155, scenery), Plasma (ff573, plasma clouds)             
   Fractal generators: PolyFractals (ff015), FFEX (ff549)                     
   Lyapunov fractals                                                          
          http://www.itsnet.com/~bug/fractals/Lyapunovia.html                 
   XoaS, by Jan Hubicka, fast portable real-time interactive fractal zoomer.  
256 workbench displays only.                                                  
          http://www.paru.cas.cz/~hubicka/XaoS/                               
   Commercial packages: Fractal Pro 5.0, Scenery Animator 2.0, Vista          
Professional, Fractuality (reviewed in April '93 Amiga User International).   
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.                                                            
                                                                              
  Java applets                                                                
                                                                              
   Chaos!                                                                     
          http://www.vt.edu:10021/B/bwn/Chaos.html                            
                                                                              
   Fractal Lab                                                                
          http://www.wmin.ac.uk/~storyh/fractal/frac.ht ml                    
                                                                              
   The Mandelbrot Set                                                         
          http://www.mindspring.com/~chroma/m andelbrot.html                  
                                                                              
   The Mandelbrot set (Paton J. Lewis)                                        
  http://numinous.com/_private/people/pjl/graphics/mandelbrot/mandelbrot.html 
                                                                              
   Mark's Java Julia Set Generator                                            
          http://www.stolaf.edu/people/mcclure/java/Julia/                    
                                                                              
   Fractals by Sun Microsystems                                               
       http://java.sun.com/java.sun.com/applets/applets/Fractal/example1.html 
                                                                              
   The Mandelbrot set                                                         
          http://www.franceway.com/java/fractale /mandel_b.htm                
                                                                              
   Mandelbrot Java Applet                                                     
          http://www.mit.edu:8001/people/m kgray/java/Mandel.html             
                                                                              
   Ken Shirriff Java language pages                                           
          http://www.sunlabs.com/~shirriff/java/                              
                                                                              
   example of the plasma method of fractal terrain by Carl Burke,             
<cburke@mitre.org>                                                            
          http://www.geocities.com/Area51/6902/t_sd_app.html                  
                                                                              
   Mandelbrot generator in Javascript by Frode Gill.                          
          http://www.krs.hia.no/~fgill/javascript/mandscr.htm                 
                                                                              
   Fracula Java Applet. A java applet to glide into the Mandelbrot set (best  
with Pentium and MSIE 3.0). Vince Ruddy <vruddy1@san.rr.com>                  
          http://www.geocities.com/SiliconValley/Pines/5788/index.html        
                                                                              
   Chaos and Fractals. Many java applets by Stephen Oswin                     
<stephen.oswin@ukmail.org>                                                    
          www.ukmail.org/~oswin/                                              
                                                                              
   IFS Fractals using javascript (Richard L. Bowman <rbowman@bridgewater.edu>)
          http://www.bridgewater.edu/~rbowman/FracMain.html                   
                                                                              
  For Macs:                                                                   
                                                                              
                               For PowerMacs                                  
             (and PowerPC-based Macintosh compatible computers)               
                                                                              
  FracPPC - v1.1                                                              
     * Fractal generator for PowerMacs only, by Dennis C. De Mars             
     * Generates the Mandelbrot set and associated Julia sets, allows the user
to edit the color map, 24-bit colour                                          
          + http://members.aol.com/ddemars/fracppc.html                       
                                                                              
  MandelBrowser 2.0                                                           
     * by the author of Mandella, 24-bit colour           +                   
      ftp://mirrors.aol.com/pub/mac/graphics/fractal/mandelbrowser2.0.sit.hqx 
     _________________________________________________________________        
                                                                              
                                For 68K Macs                                  
                                                                              
  Mandella 8.7                                                                
     * generation of many different types of fractals, allow editing of the   
color map, and other display & calculation options. Some features not         
available on PowerMacs.                                                       
          +                                                                   
           ftp://mirrors.aol.com/pub/mac/graphics/fractal/mandella8.7.cpt.hqx 
                                                                              
  Mandelzot 4.0.1                                                             
     * generation of many different types of fractals, allow editing of the   
color map, and other display & calculation options. Some features not         
available on PowerMacs.                                                       
          +                                                                   
         ftp://mirrors.aol.com/pub/mac/graphics/fractal/mandelzot4.01.cpt.hqx 
                                                                              
  SuperMandelZoom 1.0.6                                                       
     * useful to those rare individuals who are still using a Mac Plus/SE     
class machine                                                                 
          +                                                                   
   ftp://mirrors.aol.com/pub/mac/graphics/fractal/supermandelzoom1.06.cpt.hqx 
     _________________________________________________________________        
                                                                              
                           Miscellaneous programs                             
                                                                              
     * Australian mirror of Info-Mac archive, fractals sections               
          + ftp://plaza.aarnet.edu.au/mac/info-mac/                           
     * FDC - Fractal Dimension Calculator                                     
          + http://www.mhri.edu.au/~pdb/fractals/fracdim.html                 
     * Lsystem, 3D-L-System, IFS, FracHill                                    
          + http://www.mhri.edu.au/~pdb/fractals/                             
     * Color Fractal Generator 2.12                                           
 + ftp://mirrors.aol.com/pub/mac/graphics/fractal/colorfractalgen2.12.sit.hqx 
     * MandelNet (uses several Macs on an AppleTalk network to calculate the  
Mandebrot set!)         +                                                     
ftp://mirrors.aol.com/pub/mac/graphics/fractal/mandelnet1.2.sit.hqx           
     * Julia's Nightmare - original and cool program, as you drag the mouse   
about the complex plane, the corresponding Julia set is generated in real     
time!                                                                         
     + ftp://mirrors.aol.com/pub/mac/graphics/fractal/juliasnightmare.sit.hqx 
     * Lyapunov 1.0.1                                                         
        + ftp://mirrors.aol.com/pub/mac/graphics/fractal/lyapunov1.01.cpt.hqx 
     * Fract 1.0 - A fractal-drawing program that uses the IFS algorithm.     
Change parameters to get different self-similar patterns.                     
          + ftp://mirrors.aol.com/pub/mac/graphics/fractal/fract1.0.cpt.hqx   
     * XoaS 2.1 - fast portable real-time interactive fractal zoomer          
          + http://www.paru.cas.cz/~hubicka/XaoS/                             
     _________________________________________________________________        
                                                                              
                                 Commerical                                   
                                                                              
   There are also commercial programs: IFS Explorer and Fractal Clip Art      
(published by Koyn Software (314) 878-9125), Kai's Fractal Explorer (part of  
the Kai's Power Tools package)                                                
                                                                              
  For MSDOS:                                                                  
                                                                              
   DEEPZOOM: a high-precision Mandelbrot Set program for displaying highly    
zoomed fractals                                                               
          http://spanky.triumf.ca/pub/fractals/programs/ibmpc/depzm13.zip     
                                                                              
   Fractal WitchCraft: a very fast fractal design program                     
          ftp://garbo.uwasa.fi/pc/demo/fw1-08.zip                             
          ftp://ftp.cdrom.com/pub/garbo/garbo_pc/show/fw1-08.zip              
                                                                              
   CAL: generates more than 15 types of fractals including Lyapunov, IFS,     
user-defined, logistic, and Quaternion Julia                                  
          http://www.simtel.net/pub/simtelnet/msdos/graphics/frcal040.zip     
                                                                              
   Fractal Discovery Laboratory: designed for use in a science museum or      
school setting. The Lab has five sections: Art Gallery, Microscope, Movies,   
Tools, and Library Sampler available from Compuserve 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 2.59 : plots functions including bifurcations and recursive        
relations                                                                     
       ftp://archives.math.utk.edu/software/msdos/graphing/wlplt/wlplt259.zip 
   From http://www.simtel.net/pub/simtelnet/msdos/graphics/                   
          forb01a.zip: Displays orbits of Mandelbrot Set mapping. C/E/VGA     
                                                                              
          fract3.zip: Mandelbrot/Julia set 2D/3D EGA/VGA Fractal Gen          
          fractfly.zip: Create Fractal flythroughs with FRACTINT              
          fdesi313.zip: Program to visually design IFS fractals               
          frain195.zip: FRACTINT v19.5 EGA/VGA/XGA fractal generator          
          frasr195.zip: C & ASM src for FRACTINT v19.5                        
          frcal040.zip: Fractal drawing program: 15 formulae available        
                                                                              
   vlotkatc uses VESA 640x480x16 Million colour mode to generate              
Volterra-Lotka images.                                                        
          http://spanky.triumf.ca/pub/fractals/programs/ibmpc/vlotkatc.zip    
          http://spanky.triumf.ca/pub/fractals/programs/ibmpc/vlotkatc.doc    
                                                                              
   Fast FPU Fractal Fun 2.0 (FFFF2.0) is the first Mandelbrot Set generator   
working in hicolor gfx modes thus using up to 32768 different colors on screen
by Daniele Paccaloni requires 386DX+ and VESA support                         
          http://spanky.triumf.ca/pub/fractals/programs/IBMPC/FFFF20.ZIP      
                                                                              
   3DFract generates 3-D fractals including Sierpinski cheese and 3-D         
snowflake                                                                     
          http://www.cstp.umkc.edu/users/bhugh/home.html                      
                                                                              
   FracTrue 2.10 - Hi/TrueColor Generator including a formular parser. 286+   
VGA by Bernd Hemmerling                                                       
                                                                              
   LyapTrue 2.10 Lyapunov generator                                           
                                                                              
   ChaosTrue 2.00 - 18 types                                                  
                                                                              
   Atractor 1.00 256 colour                                                   
          http://www.cs.tu-berlin.de/~hemmerli/fractal.html                   
                                                                              
   HOP based on the HOPALONG fractal type. Math coprocessor (386DX and above) 
and SuperVGA required. shareware ($30) Places to download HOPZIP.EXE from:    
          Compuserve GRAPHDEV forum, lib 4                                    
          The Well under ibmpc/graphics                                       
          http://ourworld.compuserve.com/homepages/mpeters/hop.htm            
          ftp://ftp.uni-heidelberg.de/pub/msdos/graphics/                     
          http://spanky.triumf.ca/pub/fractals/programs/ibmpc/                
                                                                              
   ZsManJul 1.0 (requires 386DX+) by Zsolt Zsoldos                            
          http://www.chem.leeds.ac.uk/ICAMS/people/zsolt/zsmanjul.html        
                                                                              
   FractMovie 1.62 a real-time 2D/3D IFS fractal movie renderer (requires     
486DX+) with GIF save                                                         
          http://www2.ntu.ac.sg:8000/~eyqchen/fractmovie/fractmovie.html      
                                                                              
   FracZoom by Niels Ulrik Reinwald 386DX+                                    
          http://users.cybercity.dk/~ccc23578/index.html                      
                                                                              
   RMandel 1.2 80-bit floating point Mandelbrot Set animation generator by    
Marvin R. Lipford                                                             
          ftp://fractal.mta.ca/pub/cnam/anim/FRACSOFT/rmandel.zip             
                                                                              
   M24, the new version of TruMand by Mike Freeman 486DX+ True-colour         
Mandelbrot Set generator                                                      
          http://www.capcollege.bc.ca/~mfreeman/mand.html                     
                                                                              
   FAE - Fractal Animation Engine shareware by Brian Towles                   
          http://spanky.triumf.ca/pub/fractals/programs/ibmpc/FAE210B.ZIP     
                                                                              
   XaoS 2.2 fast portable realtime interactive fractal zoomer/morpher for     
MS-DOS (and others) by Jan Hubicka <hubicka@limax.paru.cas.cz> 11 fractal     
formulas, "Autopilot", solid guessing, zoom up to 64051194700380384 times     
          http://www.paru.cas.cz/~hubicka/XaoS/                               
                                                                              
   Ultra Fractal. A DOS program with graphic interface, 256 colors or         
truecolor. Very fast, many formulas. Shareware (Frederik Slijkerman           
<slijkerman@compuserve.com>)                                                  
          http://ourworld.compuserve.com/homepages/slijkerman/                
                                                                              
  For MS-Windows:                                                             
                                                                              
   dy-syst: Explores Newton's method, Mandelbrot and Julia sets               
          ftp://cssun.mathcs.emory.edu/pub/riddle/                            
                                                                              
   bmand 1.1 shareware by Christopher Bare Mandelbrot program                 
          http://www.gi.net/MSDOS_A/PM-1995/95-01/95-01-24/0012.html          
                                                                              
   Quaternion-generator generates Julia-set Quaternions by Frode Gill         
          http://www.krs.hia.no/~fgill/fractal.html                           
                                                                              
   A Fractal Experience 32 for Windows 95/NT by David Wright                  
<wgwright@mnsinc.com>                                                         
          http://www.mnsinc.com/wgwright/fracexp/                             
                                                                              
   Iterate 32 for Windows 95/NT written in VisualBasic. Generates IFS,        
includes 10 built-in attractors, plots via chaos algorithm or MRCM (multiple  
reduction copy machine), includes MS-Word document about IFS and fractal      
compression in easy to understand terms. Freeware by Jeff Colvin              
<kd4syw@usit.net>                                                             
          http://hamnetcenter.com/jeffc/fractal.html                          
                                                                              
   IFS Explorer for Windows 95/NT, a companion to Iterate 32, allows users to 
explore IFS by changing the IFS parameters. Requires 800x600 screen. Freeware 
by Jeff Colvin <kd4syw@usit.net>                                              
          http://hamnetcenter.com/jeffc/fractal.html                          
                                                                              
   DFRAC 1.4 by John Ratcliff a Windows 95 DirectDraw Mandelbrot explorer with
movie feature. Requires DirectDraw, FPU, and monitor/graphics card capable of 
800x600 graphic mode. Freeware.                                               
          http://www.inlink.com/~jratclif/john.htm                            
   QS W95 Fractals generates several fractals types in 24-bit colour includind
Volterra-Lotka, enhanced sine, "Escher-like tiling" of Julia Set, magnetism   
formulae, and "self-squared dragons". Supports FractInt MAP files, saves      
24-bit Targa or 8-bit GIF, several colour options. Freeware by Michael Sargent
<msargent@zoo.uvm.edu>.                                                       
          http://www.uvm.edu/~msargent/                                       
                                                                              
   Fractal eXtreme for 32-bit Windows 1.01. A fast interactive fractal        
explorer of Mandelbrot, Julia Set, and Mandelbrot to various powers, Newton,  
"Hidden Mandelbrot", and Auto Quadratic. Movies, curve-based palette editor,  
deep zoom (>2000 digits percision for some types), Auto-Explore. Shareware,   
with ability to register online, by Cygnus Software.                          
          http://www.cygnus-software.com/                                     
                                                                              
   Iterations and Flarium24 2 original programs : Iterations is 256 colors ;  
Flarium24 is truecolor. For W95 or NT. Both are freeware by Stephen C.        
Ferguson (<itriazon@gte.net>)                                                 
          http://home1.gte.net/itriazon/                                      
                                                                              
   JuliaSaver : a W95 screen saver that does real-time fractals, by Damien M. 
Jones (<dmj@emi.net>)                                                         
          http://www.emi.net/~dmj/juliasaver/                                 
                                                                              
   Mndlzoom W95 or Nt program which iterate the Mandelbrot set within the     
coprocessor stack : very fast, 19-digits significance (Philip A. Seeger       
<PASeeger@aol.com>)                                                           
          http://members.aol.com/paseeger/                                    
                                                                              
   Frang : a real-time zooming Mandelbrot set generator. Needs DirectX (can be
downloaded from the same URL or from Microsoft). Shareware (Michael Baldwin   
<baldwin@servtech.com>)                                                       
          http://www.servtech.com/public/baldwin/frang/frang.html             
                                                                              
   Fractal Orbits; A nice implementation of Bubble, Ring, Stalk methods by    
Phil Pickard <plptrigon@enterprise.net >. Very easy to use. W95, NT.          
          ftp://ftp-hs.iuta.u-bordeaux.fr/fractorb/                           
                                                                              
   Zplot. A very comprehensive program which gathers several powerful methods 
(original or found in other programs). 16 and 32 bits versions. You can       
download for trials version 3.26 (latest one is 3.29). A true color version is
under development. Shareware by Terry W. Gintz <twgg@ix.netcom.com>.          
          http://www.geocities.com/SoHo/Lofts/5601/gallery.htm                
                                                                              
  For SunView:                                                                
                                                                              
   Mandtool: generates Mandelbrot Set                                         
          http://fractal.mta.ca/spanky/programs/mandtool/m_tar.z              
          ftp://spanky.triumf.ca/fractals/programs/mandtool/M_TAR.Z           
                                                                              
  For Unix/C:                                                                 
                                                                              
   lsys: L-systems as PostScript (in C++)                                     
          ftp://ftp.cs.unc.edu/pub/users/leech/lsys.tar.gz                    
                                                                              
   lyapunov: PGM Lyapunov exponent images                                     
          ftp://ftp.uu.net/usenet/comp.sources.misc/volume23/lyapunov/        
                                                                              
   SPD: fractal mountain, tree, recursive tetrahedron                         
          ftp://ftp.povray.org/pub/povray/spd/                                
                                                                              
   Fractal Studio: Mandelbrot set; handles distributed computing              
          ftp://archive.cs.umbc.edu/pub/peter/fractal-studio                  
                                                                              
   fanal: analysis of fractal dimension for Linux by Jürgen Dollinger         
     ftp://ftp.uni-stuttgart.de/pub/systems/linux/local/math/fanal-01b.tar.gz 
                                                                              
   XoaS, by Jan Hubicka, fast portable real-time interactive fractal zoomer.  
supports X11 (8,15,16,24,31-bit colour, StaticGray, StaticColor), Curses,     
Linux/SVGAlib                                                                 
          http://www.paru.cas.cz/~hubicka/XaoS/                               
                                                                              
  For X windows :                                                             
                                                                              
   xmntns xlmntn: fractal mountains                                           
          ftp://ftp.uu.net/usenet/comp.sources.x/volume8/xmntns               
                                                                              
   xfroot: fractal root window                                                
          X11 distribution                                                    
                                                                              
   xmartin: Martin hopalong root window                                       
          X11 distribution                                                    
                                                                              
   xmandel: Mandelbrot/Julia sets                                             
          X11 distribution                                                    
                                                                              
   lyap: Lyapunov exponent images                                             
          ftp://ftp.uu.net/usenet/comp.sources.x/volume17/lyapunov-xlib       
                                                                              
   spider: Uses Thurston's algorithm, Kobe algorithm, external angles         
          http://inls.ucsd.edu/y/Complex/spider.tar.Z                         
                                                                              
   xfractal_explorer: fractal drawing program                                 
          ftp://ftp.x.org/contrib/applications/xfractal_explorer-v1.0.tar.gz  
                                                                              
   Xmountains: A fractal landscape generator                                  
          ftp://ftp.epcc.ed.ac.uk/pub/personal/spb/xmountains                 
                                                                              
   xfract: Mandelbrot with a color-cycling feature                            
          ftp://charm.il.ft.hse.nl/pub/X11/src/xfract.tar.gz                  
                                                                              
   xmfract v1.4: Needs Motif 1.2+, based on FractInt                          
          ftp://ftp.x.org/contrib/graphics/xmfract_1.4.tar.gz                 
                                                                              
   Fast Julia Set and Mandelbrot for X-Windows by Zsolt Zsoldos               
          http://www.chem.leeds.ac.uk/ICAMS/people/zsolt/mandel.html          
                                                                              
   XaoS realtime fractal zoomer for X11 or SVGAlibs by Jan Hubicka            
<hubicka@limax.paru.cas.cz>                                                   
          http://www.paru.cas.cz/~hubicka/XaoS/                               
                                                                              
   Xmfract                                                                    
          http://www.realtime.net/~amadeus/xmfract/                           
                                                                              
   AlmondBread-0.2. Fast algorithm ; simultaneous orbit iteration ;           
Fractint-compatible GIF and MAP files ; Tcl/Tk user interface (Michael R.     
Ganss <rms@cs.tu-berlin.de>)                                                  
          http://www.cs.tu-berlin.de/~rms/AlmondBread/                        
                                                                              
  Distributed X systems:                                                      
                                                                              
   MandelSpawn: Mandelbrot/Julia on a network                                 
          ftp://ftp.x.org/R5contrib/mandelspawn-0.07.tar.Z                    
          ftp://ftp.funet.fi/pub/X11/R5contrib/mandelspawn-0.07.tar.Z         
                                                                              
   gnumandel: Mandelbrot on a network                                         
          ftp://ftp.elte.hu/pub/software/unix/gnu/gnumandel.tar.Z             
                                                                              
  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.                                                                      
   http://wuarchive.wustl.edu/edu/math/software/mac/fractals/FDC/             
   http://wuarchive.wustl.edu/packages/architec/Fractals/FDC2D.sea.hqx        
   http://wuarchive.wustl.edu/packages/architec/Fractals/FDC3D.sea.hqx        
   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://inls.ucsd.edu/pub/cal-state-stan                                     
   ftp://inls.ucsd.edu/pub/inls-ucsd                                          
   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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