Is it possible to get fractint to plot these and if
so how? Fractint seems to have specialized orbit types like the Henon
attractor, but I want to specify the formula. IOW the "formula" type
iterates over the screen pixels in an orderly gridlike fashion, but I want to go
from pixel to pixel by iterating Pixel_new = F (Pixel_old) and mark the pixel
each time. I found this process that seems to generate continuous(with
sufficient iteration) fractal curves that look like wads of string with
knots in random places (with greater iteration count, the large-scale length of
the curve grows, but less than proportional to the number of iterations, and
backfilling occurs at the same time at seemingly random locations so the curve
is probably dense):
x(n) = summation[m=1 to n]( sin(f(n)) *
n^-a)
y(n) = summation[m=1 to n]( cos(f(n))
*n^-a)
where a is a constant between 0 and
1. One f that gives a fractal curve (briefly described above) is
sqr, while f=log gives a smooth spiral. I'd like to plot these with
fractint which has deep zooming capabilities, instead of the program I used
which does not, and which failed at around 40000 iterated points. I know
about the orbit screen in fractint, but it seems to me that if I use that with a
"formula" type it will run the hundreds of thousands of iterations for every
single pixel of the screen until the maximum iteration count is hit. That
would take much too long. Is there some arcane .par magic to get fractint
to display an orbit generated from only one point instead of the main
screen?
Hiram Berry