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This image, illuminated by the
escape time algorithm,
is created from the mathematical
system
defined by the expression z←z*z+c where z and c are
complex numbers.
The ← symbol signifies the
iteration
operation. The number z is the single
state variable
and the number c marks the place in the
complex plane
where the iteration begins. The map of all possible
states
for this system is just the complex plane. The
domain
of this image in the map of possible states is:
(-0.746684694, 0.11148175)/(-0.74657128, 0.11130596)
The depth of iteration is 200.
This image and the Curly Gold Rectangular image differ only in that the divergence threshold is calculated in polar coordinates here and in rectangular coordinates in the Curly Gold Rectangular image. Notice the extra scalloping in the background of the rectangular coordinate divergence threshold. varies from the others in this row only by the depth of iteration so as to illustrate the effect of depth. |