# Embedded Julia sets

When zooming past minibrot islands in the Mandelbrot set (and similar) going deeper towards another minibrot, sometimes the structure of the filaments takes the appearance of a Julia set corresponding to the location relative to the parent island. For quadratic functions like $z \to z^2 + c$ or the Burning Ship, the embedded Julia set appears around half way along the zoom path between the parent island and the island at its center.