This is a loose form of self-similarity; the fractal appears approximately (but not exactly) identical at different scales. Quasi-self-similar fractals contain small copies of the entire fractal in distorted and degenerate forms. Fractals defined by recurrence relations are usually quasi-self-similar but not exactly self-similar.
(http://en.wikipedia.org/wiki/Fractal)
(http://en.wikipedia.org/wiki/Fractal)