4-fold Embedded Julia Set

Robert P. Munafo, 2008 Feb 1.

The "nucleus" at the center of a 2-fold embedded Julia set. It consists of two rotated, distorted images of the 2-fold embedded Julia set, an example of bifurcation.

Here are a couple examples:

-1.748 305 132 642 920 80 +0.000 000 000 000 000 01i 3.7e-1
-1.748 305 132 642 920 80 +0.000 000 000 000 000 01i @ 3.7e-1

-1.748764596 +0.000000002i +0.000001450
-1.748764596 +0.000000002i @ +0.000001450

-0.744539860355908380 +0.121723773894424824 i 6.0e-15
-0.744539860355908380 +0.121723773894424824 i @ 6.0e-15

See also 2-fold embedded Julia set, N-fold embedded Julia set, bifurcation.


From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo.     Mu-ency index

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