Make, edit, view IFS Fractal flames, with Apophysis
Apophysis is a free program that will let you make, edit and view fractal flames.
Fractal flames are extensions of the IFS (iterated function systems) fractals, that can have any number of dimensions, yet commonly being 2D. A fractal contains copies of itself transformed by a function.
These functions are contractive, making shapes smaller. An IFS fractal contains several possibly-overlapping smaller copies, with each of them containing other copies of itself.
Apophysis was created by Mark Townsend and has since been improved and updated by Peter Sdobnov, Piotr Borys and Ronald Hordijk.
Fractal Flames were originally developed in 1992 by Scott Draves.