Julia Set/Examples/Filled for -0.75/Mistake

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