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1994-06-16
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SINE
An exploration of the Sine Mandelbrot Set and Sine Julia Set.
All originals rendered as 768x480 24-bit with count 16384. Colors reduced
to 64 or 128 after rendering to show some contrast and saturation.
P00 - P03 zooming in on the Sine Mandelbrot Set
P04 - P15 zooming in on a Sine Julia Set
P00 starts at a demagnification of 4 to show the repeating sinusoidal nature
of this Sine(Z) + Z Mandelbrot Set. Rendering times are quite long due to the
transcendental function. The final magnification from P00 to P03 is only 16.
The Sine Mandelbrot Set reveals in these few images a stunningly beautiful
form of shield-like shape near its center with a super-sharp spike prominent
in the middle.
P04 also starts from a demagnification of 4 to show the repeating sinusoidal
shape of the Sine Julia Set. The zooms here goes deeper, though, with the
total magnification from P04 to P15 of over 1 billion.
The Sine Julia Set shown here resembles first a series of lightning bolts
separated by yellow fingery clouds, then progresses into surrealistic
images resembling odd pointed leaves. Perhaps these are the leaves which
fall from the tree shapes seen in the Wolf Mandelbrot Set! Or maybe they
aren't leaves at all, but spiky crystals of some oddly colored frozen ice
on a wintry window pane.
Daniel Wolf
6/8/94