Julia Set/Examples/Filled for -0.75/Mistake
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Source Work
1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.)
2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.):
- Julia set
Mistake
- (b) Filled Julia set for $c = -0.75$
Correction
The screenshot given is actually the filled Julia set for the rational function $z \mapsto z^2 + c$ for the point $c = -1.0$.
This is the filled Julia set for the rational function $z \mapsto z^2 + c$ for the point $c = -0.75$:
Completely different beast.
Julia Set Generator
Julia sets presented on this page were generated using the Javascript Julia Set Generator from Mark McClure's "marksmath" site.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Julia set
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Julia set