Filled Julia Set Explorer

\(f_c(z) = z^2 + c\)

Click or drag on the Mandelbrot set (left) to choose the parameter \(c \in \mathbb{C}\). The corresponding filled Julia set \(\mathcal{K}_c = \{z \in \mathbb{C} : (f_c^n(z))_{n \geq 0}\ \text{is bounded}\}\) is displayed on the right, rendered using the Distance Estimation Method (DEM).

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