July 2001
Intermediate to advanced
576 pages
27h 16m
English
Content preview from Creative Evolutionary Systems
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13 Eons of Genetically Evolved Algorithmic
Images
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8 ~.~~~~'/~:~.~.~~:~:~.~~%~r ..... ~,...~~;~~~~~
13.4.1
Second-Order Subtleties of Orbit Trajectories during
Iteration in the Complex Plane
In the simplest rendering of the familiar Mandelbrot Set, z ~ z 2 + c, at each step
during iteration the new z is calculated, representing a new point in the complex
plane. Usually the distance of the new z from the origin is compared against a
maximum distance and if exceeded, iteration is terminated and the total num-
ber of iteration steps is returned as a measure of the distance of the initial z from
the Mset ...
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