Abstract: In this paper, the conception of fractal geometry derived from geometric inversion is introduced.A ramified self-inverse fractal with symmetry and a self-inverse fractal dust set are constructed.The authors extend the conception of the fractal osculation and propose a new notion-fractal envelope.Finally, two examples of self-inverse fractal (soap and egg) are given.

Key words: geometric inversion, self-inverse fractal, fractal osculation, fractal envelope