# Embedded Julia sets

Jump to navigation
Jump to search

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 [math]z \to z^2 + c[/math] 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.

Original Page by Claude