An infinite circle inversion limit set fractal

摘要

Analogous to the fractals generated by iterated function systems (IFS) are the limit sets of circle inversions. Typically, these are generated by circles that are mutually external, that is, each lies outside all the others. By relaxing this condition, we construct a circle inversion limit set of infinite extent, a fractal that is scale-independent in a stronger sense than the familiar IFS fractals.