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the weight.
ReFractal Design (http://www.refractal.com/) sells jewelry based on
fractals.
Lifesmith Classic Fractals (http://www.lifesmith.com/) claims to be
the largest fractal art studio in USA. You can contact Jeff Berkowitz
at Fractalier@aol.com.
There is a form of broccoli called Romanesco which is actually
cauli-brocs, cross between cauliflowers and broccoli. It has a fractal
like form. It was created in Italy about eight years ago and available
in many stores in Europe.
Subject: How can I take photos of fractals?
_Q19_: How can I take photos of fractals?
_A19_: Noel Giffin gets good results with the following setup: Use 100
ISO (ASA) Kodak Gold for prints or 64 ISO (ASA) for slides. Use a long
lens (100mm) to flatten out the field of view and minimize screen
curvature. Use f/4 stop. Shutter speed must be longer than frame rate
to get a complete image; 1/4 seconds works well. Use a tripod and
cable release or timer to get a stable picture. The room should be
completely blackened, with no light, to prevent glare and to prevent
the monitor from showing up in the picture.
You can also obtain high quality images by sending your Targa or GIF
images to a commercial graphics imaging shop. They can provide much
higher resolution images. Prices are about $10 for a 35mm slide or
negative and about $50 for a high quality 4x5 negative.
Subject: Colour Rendering Techniques
_Q20a_: What are the rendering methods commonly used for 256-colour
fractals?
_A20a_: The simplest form of rendering uses escape times. Pixels are
coloured according to the number of iterations it takes for a pixel to
_blow-up_ or escape the loop. Different criteria may be chosen to
speed a pixel to its blow-up point and therefore change the rendering
of a fractal. These include the biomorph method and epsilon-cross
method, both developed by Clifford Pickover. Similar to the
escape-time methods are Fractint's _real_, _imag_ and _summ_ options.
These add the real and/or imaginary values of a points Z-potential (at
the blow-up time) to the escape time. Normally, escape-time fractals
exhibit a flat 2-D appearance with _banding_ quite apparent at the
lowest escape times. The addition of z-potential to the escape times
tends to reduce banding and simulate 3-D effects in the outer bands.
Other traditional rendering methods for 256-colour fractals include
continuous potential, external decomposition and level-set methods
like Fractint's Bof60 and Bof61. Here the colour of a point is based
on its Z-potential and/or exit angle. The potential may be obtained
for when it is at its lowest or at its last value, or some other
criteria. The potential is scaled then applied to the palette used.
Scaling may be linear or logarithmic, as for example palettes are
defined in Fractint. Orbit-trap fractals make extensive use of level
curves, which are based on z-potentials scaled linearly. Decomposition
uses exit angles to define colours. Exit angles are derived from the
polar notation of a point's complex value. Akin to decomposition is
Paul Carlson's atan method (which uses an average of the last two
angles) and the _atan_ (single angle) method in Fractint. All of these
methods can be used to simulated 3-D effects because of the continuous
shadings possible.
_Q20b_: How does rendering differ for true-colour fractals?
_A20b_: The problem with true-colour rendering is that computers use a
3D approach to simulating 16 million colours. The basic components for
addressing true colour are red, green and blue (256 shades each.)
There is no logical way to determine an one-dimensional index which
can be used to address all the RGB colours available in true colour.
Palettes can be simulated in true colour but are limited to about
65000 colours (256x256). Even so, this is enough to eliminate most
banding found in 256-colour fractals due to limited colour spread.
Because of the flexability in choosing colours from an expanded
"palette", the best rendering methods will use a combination of level
curves and exit angles. While escape times can be fractionalized using
interpolated iteration, the result is still very flat. One promising
addition to true-colour rendering is acheived by accumulating data
about a point as it is iterated. The data is then used as an offset to
the colour normally calculated by other methods. Depending on the
algorithm used, the "filter" (sic: Stephen C. Ferguson) can intensify,
fragment or add interesting details to a picture.
Subject: 3-D fractals
_Q21_: How can 3-D fractals be generated?
_A21_: A common source for 3-D fractals is to compute Julia sets with
quaternions instead of complex numbers. The resulting Julia set is
four dimensional. By taking a slice through the 4-D Julia set (e.g. by
fixing one of the coordinates), a 3-D object is obtained. This object
can then be displayed using computer graphics techniques such as ray
tracing.
Frank Rousell's hyperindex of 3D images
http://www.cnam.fr/fractals/mandel3D.html
4D Quaternions by Tom Holroyd
http://bambi.ccs.fau.edu/~tomh/fractals/fractals.html
The papers to read on this are:
1. J. Hart, D. Sandin and L. Kauffman, Ray Tracing Deterministic 3-D
Fractals, _SIGGRAPH_, 1989, pp. 289-296.
2. A. Norton, Generation and Display of Geometric Fractals in 3-D,
_SIGGRAPH_, 1982, pp. 61-67.
3. A. Norton, Julia Sets in the Quaternions, _Computers and
Graphics_, 13, 2 (1989), pp. 267-278.
Two papers on cubic polynomials, which can be used to generate 4-D
fractals:
1. B. Branner and J. Hubbard, The iteration of cubic polynomials,
part I., _Acta Math_ 66 (1988), pp. 143-206.
2. J. Milnor, Remarks on iterated cubic maps, This paper is available
from ftp://math.sunysb.edu/preprints/ims90-6.ps.Z. Published in
1991 SIGGRAPH Course Notes #14: Fractal Modeling in 3D Computer
Graphics and Imaging.
Instead of quaternions, you can of course use hypercomplex number such
as in "FractInt", or other functions. For instance, you could use a
map with more than one parameter, which would generate a
higher-dimensional fractal.
Another way of generating 3-D fractals is to use 3-D iterated function
systems (IFS). These are analogous to 2-D IFS, except they generate
points in a 3-D space.
A third way of generating 3-D fractals is to take a 2-D fractal such
as the Mandelbrot set, and convert the pixel values to heights to
generate a 3-D "Mandelbrot mountain". This 3-D object can then be
rendered with normal computer graphics techniques.
POV-Ray 3.0, a freely available ray tracing package, has added 4-D
fractal support. It takes a 3-D slice of a 4-D Julia set based on an
arbitrary 3-D "plane" done at any angle. For more information see the
POV Ray web site at http://www.povray.org/ .
Subject: Fractint
_Q22a_: What is Fractint?
_A22a_: Fractint is a very popular freeware (not public domain)
fractal generator. There are DOS, MS-Windows, OS/2, Amiga, and
Unix/X-Windows versions. The DOS version is the original version, and
is the most up-to-date.
_Please note_: sci.fractals is not a product support newsgroup for
Fractint. Bugs in Fractint/Xfractint should usually go to the authors
rather than being posted.
Fractint is on many ftp sites. For example:
A Guide to getting FractInt by Noel at Spanky (Canada)
http://spanky.triumf.ca/www/fractint/getting.html
DOS
19.6 executable via FTP and WWW from SimTel & mirrors world-wide
http://www.coast.net/cgi-bin/coast/dwn?msdos/graphics/frain196.
zip
19.6 source via FTP and WWW from SimTel & mirrors world-wide
http://www.coast.net/cgi-bin/coast/dwn?msdos/graphics/frasr196.
zip
19.6 executable via FTP from Canada
ftp://fractal.mta.ca/pub/spanky/programs/ibmpc/frain196.zip
19.6 source via FTP from Canada
ftp://fractal.mta.ca/pub/spanky/programs/ibmpc/frasr196.zip
(The suffix _196_ will change as new versions are released.)
Fractint is available on Compuserve: GO GRAPHDEV and look for
FRAINT.EXE and FRASRC.EXE in LIB 4.
Windows
MS-Window FractInt 18.21 via FTP and WWW from SimTel & mirrors
world-wide
http://www.coast.net/cgi-bin/coast/dwn?win3/graphics/winf1821.z
ip
MS-Window FractInt 18.21 via FTP from Canada
ftp://fractal.mta.ca/pub/spanky/programs/ibmpc/windows/winf1821
.zip
MS-Windows FractInt 18.21 source via FTP and WWW from SimTel & mirrors
world-wide
http://www.coast.net/cgi-bin/coast/dwn?win3/graphics/wins1821.z
ip
MS-Windows FractInt 18.21 source via FTP from Canada
ftp://fractal.mta.ca/pub/spanky/programs/ibmpc/windows/wins1821
.zip
OS/2
Available on Compuserve in its GRAPHDEV forum. The files are PM*.ZIP.
These files are also available on many sites, for example
http://oak.oakland.edu/pub/os2/graphics/
Unix
The Unix version of FractInt, called _XFractInt_ requires X-Windows.
The current version 3.04 is based on FractInt 19.6.
3.04 source Western Canada
http://spanky.triumf.ca/pub/fractals/programs/unix/xfract304.tg
z
3.04 source Atlantic Canada
http://fractal.mta.ca/spanky/programs/unix/xfract304.tgz
XFractInt is also available in LIB 4 of Compuserve's GO GRAPHDEV forum
in XFRACT.ZIP.
_Xmfract_ by Darryl House is a port of FractInt to a X/Motif
multi-window interface. The current version is 1.4 which is compatible
with FractInt 18.2.
README
http://fractal.mta.ca/pub/fractals/programs/unix/xmfract_1-4.re
adme
xmfract_1-4_tar.gz
http://fractal.mta.ca/pub/fractals/programs/unix/xmfract_1-4_ta
r.gz
Macintosh
There is _NO_ Macintosh version of Fractint, although there may be
several people working on a port. It is possible to run Fractint on
the Macintosh if you use a PC emulator such as Insignia Software's
SoftAT.
Amiga
There is an Amiga version also available:
FracInt 3.2
http://spanky.triumf.ca/pub/fractals/programs/AMIGA/
FracXtra
There is a collection of map, parameter, etc. files for
FractInt, called FracXtra. It is available at
FracXtra Home Page by Dan Goldwater
http://fatmac.ee.cornell.edu/~goldwada/fracxtra.html
FracXtra via FTP and WWW from SimTel & mirrors world-wide
http://www.coast.net/cgi-bin/coast/dwn?msdos/graphics/fra
cxtr6.zip
FracXtra via FTP
ftp://fractal.mta.ca/pub/spanky/programs/ibmpc/fracxtr6.z
ip
_Q22b_: How does Fractint achieve its speed?
_A22b_: Fractint's speed (such as it is) is due to a
combination of:
1. Reducing computation by Periodicity checking and guessing
solid areas (especially the "lake" area).
2. Using hand-coded assembler in many places.
3. Using fixed point math rather than floating point where
possible (huge improvement for non-coprocessor machine, small
for 486's, moot for Pentium processors).
4. Exploiting symmetry of the fractal.
5. Detecting nearly repeating orbits, avoid useless iteration
(e.g. repeatedly iterating 02+0 etc. etc.).
6. Obtaining both sin and cos from one 387 math coprocessor
instruction.
7. Using good direct memory graphics writing in 256-color modes.
The first three are probably the most important. Some of these
introduce errors, usually quite acceptable.
Subject: Fractal software
_Q23_: Where can I obtain software packages to generate fractals?
_A23_:
* 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)
Fractint for Amiga
http://spanky.triumf.ca/pub/fractals/programs/AMIGA/
Lyapunov fractals
http://www.itsnet.com/~bug/fractals/Lyapunovia.html
XaoS, 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.html
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/man
delbrot.html
Mark's Java Julia Set Generator
http://www.stolaf.edu/people/mcclure/java/Julia/
Fractals by Sun Microsystems
http://java.sun.com/jav
a.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,
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
http://www.geocities.com/SiliconValley/Pines/5788/index.html
Chaos and Fractals. Many java applets by Stephen Oswin
www.ukmail.org/~oswin/
IFS Fractals using javascript (Richard L. Bowman
)
http://www.bridgewater.edu/departments/physics/ISAW/FracMain.ht
ml
A lot of Java applets
http://java.developer.com/pages/tmp-Gamelan.mm.graphics.fractal
s.html
ChaosLab. A nice fully java site with several interactive applets
showing different types of Mandelbrot, Julia, and strange
attractors. By Cameron Mckechnie
http://www.actrix.gen.nz/users/chaoslab/chaoslab.html
Fractal landscapes (applet and sources) by Chris Thornborrow
http://www-europe.sgi.com/Fun/free/java/chris-thornborrow/index
.html
Forest Echo Farm Fractal Fern
http://www.forestecho.com/ferns.html
Fractal java generator by Patrick Charles
http://www.csn.org/~pcharles/classes/FractalApp.html
3 interactive java applets by Robert L. Devaney
http://math.bu.edu/DYSYS/applets/index.html
Interactive java applets by Philip Baker
http://www.pjbsware.demon.co.uk/java/index.htm
Chaos and order by Eric Leese
http://www.geocities.com/CapeCanaveral/Hangar/7959/
MB applet by Russ
http://home.att.net/~RBinNJ/mbapplet.htm
Stand alone application
Filmer by Julian Haight. Filmer is a front-end program for Fractint
that generates amazing fractal animation. Fractint is a program
for calculating still fractal images (you need Fractint
installed to use Filmer). Filmer uses Fractint parameter (.par)
files to specify the coordinates and other parameters of a
fractal. It then calculates the intermediate frames and calls
Fractint to make a continuous animation. Filmer also has many
options for pallete rotation and generation.
http://www.julianhaight.com/filmer/
Javaquat by Garr Lystad. Can also be run as an applet from Lystad's
page.
http://www.iglobal.net/lystad/fractal-top.html
For Macs:
For PowerMacs
(and PowerPC-based Macintosh compatible computers)
Fractal Domains v. 1.2
* Fractal generator for PowerMacs only, by Dennis C. De Mars
(formerly FracPPC)
* 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.c
pt.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/supermandelzoom
1.06.cpt.hqx
_________________________________________________________________
Miscellaneous programs
* _FDC and FDC 3D_ - Fractal Dimension Calculators
+ http://www.mhri.edu.au/~pdb/software/
* _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/colorfractalgen
2.12.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.si
t.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.cp
t.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.hq
x
* _XaoS_ 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
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/wlplt
259.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
frain196.zip: FRACTINT v19.6 EGA/VGA/XGA fractal generator
frasr196.zip: C & ASM src for FRACTINT v19.6
frcal040.zip: CAL: more than 15 types of fractals including
Lyapunov, IFS, user-defined, logistic, and Quaternion Julia
Vlotkatc uses VESA 640x480x16 Million colour mode to generate
Volterra-Lotka images.
http://spanky.triumf.ca/pub/fractals/programs/ibmpc/vlotkatc.zi
p
http://spanky.triumf.ca/pub/fractals/programs/ibmpc/vlotkatc.do
c
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://pub.vse.cz/pub/msdos/SAC/pc/graph/frcmv162.zip
FracZoom Explorer and FracZoom Navigator by Niels Ulrik Reinwald
386DX+
http://www.softorange.com/software.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
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 )
http://ourworld.compuserve.com/homepages/slijkerman/
Fractal worldmap generator. A simple program to generate fractal
pseudo geographic maps, by John Olsson ,
DOS adaptation by Martijn Faassen
http://www.lysator.liu.se/~johol/fwmg/fwmg.html
Quat - A 3D-Fractal-Generator (Quaternions).
http://wwwcip.rus.uni-stuttgart.de/~phy11733/quat_e.html
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.ualberta.ca/~jdawe/mandelbrot/bmand11.zip
Quaternion-generator generates Julia-set Quaternions by Frode Gill
http://www.krs.hia.no/~fgill/fractal.html
Quat - A 3D-Fractal-Generator (Quaternions).
http://wwwcip.rus.uni-stuttgart.de/~phy11733/quat_e.html
A Fractal Experience 32 for Windows 95/NT by David Wright
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
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
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
.
http://www.uvm.edu/~msargent/
Other fractal programs by Michael Sargent.
http://www.uvm.edu/~msargent/fractals.htm
Fractal eXtreme for 32-bit Windows 1.01c. 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
precision for some types), Auto-Explore. Shareware, with
ability to register online, by Cygnus Software.
http://www.cygnus-software.com/
Iterations, Flarium24 and Inkblot Kaos Original programs : Now
Iterations is true color as are Flarium 24 and Inkblot Kaos.
For W95 or NT. Freeware by Stephen C. Ferguson
()
http://home1.gte.net/itriazon/
JuliaSaver : a W95 screen saver that does real-time fractals, by
Damien M. Jones ()
http://www.icd.com/tsd/juliasaver/
Mndlzoom W95 or Nt program which iterate the Mandelbrot set within the
coprocessor stack : very fast, 19-digits significance (Philip
A. Seeger )
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 )
http://www.servtech.com/public/baldwin/frang/frang.html
Fractal Orbits; A nice implementation of Bubble, Ring, Stalk methods
by Phil Pickard . Very easy to use.
W95, NT.
ftp://ftp-hs.iuta.u-bordeaux.fr/fractorb/
Fractal Commander and Fractal Elite (formerly Zplot) Very
comprehensive programs which gather several powerful methods
(original or found in other programs). Now only 32 bits version
is supported. You can download a free simplified version
(Fractal Agent) at
http://www.simtel.net/pub/simtelnet/win95/math/fa331.zip.
Registered users will receive the full version and a true color
one. Shareware by Terry W. Gintz .
http://www.geocities.com/SoHo/Lofts/5601/gallery.htm
Set surfer. A nice small program. Draws a variety of fractals of
Mandelbrot or Julia types. Freeware by Jason Letbetter
.
http://www.flash.net/~redbeard/
Kai Power Tools 2 and 3 include Fractal Explorer.
MetaCreations will mail a replacement CD to early KPT 3.0
owners which didn't include Fractal Explorer.
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