Black Cardioid Shore

This location lies in the boundary region of the Mandelbrot set, defined by iterating $z_{n+1} = z_n^2 + c$ starting from $z_0 = 0$. A point $c$ belongs to the set if the orbit never exceeds $|z| = 2$.

At zoom $1.40K×$, each screen pixel represents a region of the complex plane roughly $\Delta c \approx 3.57e-6$ wide — smaller than most atoms on a real object of the same size.

The iteration depth of 400 means the algorithm checks up to 400 times before declaring a point interior (black). Higher values reveal finer boundary detail but require more computation.