Hello,
My name's James Morris and I've been interested in fractals since the early 1990's (oh that sounds like I'm joining Fractals Anonymous).
In recent years I've been writing programs to render the Mandelbrot Set. I started with an open source project called Gfract, and developed a fork of that project which I called gkII.
The main concept behind gkII was to add additional equations into the main iteration loop of the M-set. These new equations I termed 'Kunge' equations (sort of like munge) and I called gkII a Mandelbrot Mangler. These equations feed off the result of the M-set equation at each iteration, but do not feed back into the standard M-Set equation.
Unfortunately my grasp of complex maths is rather poor, but they produced some interesting results. Some include some 'Pickover Stalk' like images, while others disintegrate into an almost noise like lather of looping forms. More information can be found here:
http://jwm-art.net/gkII but note the program itself is for Linux machines.
I seem to have a bit of an obsession with the M-set and zooming really deep into it. I've posted my latest program, mdz in the Software forum here. mdz uses arbitrary maths routines (via the MPFR library) to zoom deep.
I'm almost convinced no fancy colouring methods are needed with the M-set if only I could zoom deep enough. I'm sometimes wonder if sticking to the traditionally rendered colour bands is down to my poor grasp of maths, or if it really is possible to find patterns in the M-set which appear to be otherwise.
My grasp of how zooming into particular areas of the M-set effects the finished image are gradually improving, and I'm always looking for new ways to make images rather than the random zoom approach. I made a gallery of images on my website a couple of years ago, with some text talking about this:
http://jwm-art.net/dark.php?p=mset-exploration&s=1All the images there are all exploring what is possible within the confines of double precision maths.
Right, I think I've made enough links to my site here now to warrant linking back here from my links page. See ya later.
[edit]
Back again, have been browsing through a few of the posts here, and felt it necessary to say I was not aware of the controversy surrounding the post-processing of fractal images.