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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:
(0.25391, 1.1245)/(0.31513, 0.9177)
The depth of iteration is 189.
The two branching structures shown here are similar but not identical, like cousins perhaps instead of identical twins. |