Properties of The Julia Set and Fatou Set
The Julia set and the Fatou set of are both completely invariant under iterations of the holomorphic function, i.e.
and
- .
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“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
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