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Images
generated by the Fractal Engines
These
are a rather limited set of images generated by
the Mandelbrot fractal generator, either in black
and white or coloured mode. Many more fascinating
and disturbing images can be produced simply by
clicking on whatever appears more complex - more
and more detail is resolved, ad infinitum. Perfect
for creating backgrounds for your computer, or
exploring a wonder of non-recursive mathematics.
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A
preliminary view of the Mandelbrot set, those values
being unbounded marked with black. The cardioid
shape is clearly evident, but little of the enfolded
detail is visible at this resolution. Still, instantly
recognisable. |
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Zooming
into "Seahorse value", the intricate volutes
of the detail of the set start to become visible.
Each convolution contains, on the tendrils, a miniture
complete cardioid Mandelbrot set; complete with
it's own sea-horses. |
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At
higher magnification, a single protusion out of
Seahorse valley. An exponentially reducing string
of baby Mandelbrots is visible, connected by a frilly
string of convolutions. The nucleus of the pattern
is in fact an artifact; if more iterations are used
it resolves into a single point, with each tendril
radiating from it. I had this as the background
of my computer for some time, (at hi res) and never
got bored of looking at it. |
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A
"false colour" Mandelbrot image, which
was first produced in black and white and later
treated to give the gradated effect. Some more pretty
volutes are visible, as well as a singularity-like
nucleus. This looked quite fantastic in high resolution:
and these sort of images can be generated in a few
seconds. Amazing. |
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About
me
