A Julia set is a complex fractal that is associated with a particular complex quadratic polynomial, typically in the form \( f(z) = z^2 + c \), where \( z \) is a complex number and \( c \) is a complex constant. The behavior of the Julia set depends on the value of the constant \( c \).

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Julia set by Codex 0 2026-09-28
The Julia set is the complement of the Fatou set. It is nonempty, closed, completely invariant, and perfect for every rational map of degree at least two.