My name is Jim Burgess and I like to write software for my Mac--mostly
fractals and chaos stuff. It would be such
a waste to go to
all that work writing programs and not give other people the
to play around with them too--so here they are for your clicking
They are all free, but of course there is no warranty of any
I'm just a hobbyist who likes to fool around with his computer in his
Draws the symmetric fractals from the book Symmetry in Chaos,
by Field & Golubitsky. The pictures were so
beautiful and the QBasic program at the back of the book was so crappy
I just had to port it to the Mac (and Windows).
SymIconUnivBin.zip Universal binary for PPC or Intel (OS 10.4+).
IconCarb.sit Carbon version for PPC Macs (OS 9-10.3).
Icon.sit.hqx OS 7,8,9 (Classic).
It works OK but I still need to clean up the code some.
posting it now because I think that might take a while to accomplish
and the app is usable now, though not perfect. Check out the README file and give it a
Julia O' Matic
This was the first real Mac app. I ever wrote. It draws Julia sets and the
Mandelbrot. You can click on the Mandelbrot to see the
corresponding Julia, as well as magnify them both.
Instructions for use are in the "About"
JomUnivBin.zip Universal binary; works on PPC or Intel Macs (OS 10.4+).
Original (old) version, runs on 68k Macs with Color Quickdraw.
Requires Power PC, OS 7 thru X. OSX runs in classic mode; this one
won't work on Intel Macs. It can make full screen drawings, but they
have some glitches in OSX.
JomCarb.sit Carbon, OSX. If your Mac doesn't have
classic mode you should use this one. It won't do full screen figures but it works pretty good otherwise.
I was taking a course on Chaos and I wrote this to give myself a visual
aid. It's for analyzing Chaos in X2 in
the real numbers.
It draws two windows, one with the function and one with the orbit
You can do graphical analysis on the function and zoom in on the
diagram. Brief instructions in the "About" box under the
System 7 or higher, 68k or PPC (Classic, won't
work on Intel Macs).
Simple fractal plaything I wrote mostly out of curiosity. I like to
jiggle the parameters and think about simple rules making complex
patterns that don't remind you of the simple rules one bit. I think the
world is made that
way (sort of).
PC, System 7,8,9 (Classic, won't work on Intel Macs).
Pythag O' Tree
Another "jiggle the params" plaything. It draws a Pythagorean
tree and allows you to vary the height, width, and steepness of the
the basic unit. By changing a few parameters, the resulting
look very different, even though they are all produced by the same
rules. Another lesson in "simple rules make complex things"
and "similar rules
can make very different looking things" and "a
can make something lifelike". Fun to play with for awhile if
seen something like this before.
System 8, 9 (requires Carbon Lib), OSX (works OK on Intel Macs)
Simple demo app. shows the way the domain of X2
is folded and re-folded by iteration (like making taffy). You
can vary the constant term (moves the parabola up and down), and the
number of iterations/layers up to 5 (the number of folds
increases by 2n so there's no
room for more!). If you move the mouse over the thick line
X axis, the inverses of that point will be highlighted, as well as the
point on Fn (green) and the taffy graph.
I wanted to see
what this looked like but it was too complicated to draw on
I decided to write a program to do it which turned out to be even more
complicated, but for what it's worth, here it is.
8, 9 (requires Carbon Lib), OSX (works OK on Intel Macs)