Reputable web sites with information on fractals include the following:
Fractal Geometry - material to support a first course in fractal geometry from Yale University.
Books on fractals - list of books on fractals compiled by Benoit Mandelbrot.
Meetings on fractals - list of past conferences on fractals compiled by Benoit Mandelbrot.
Fractal - Wikipedia - Wikipedia.
List of fractals by Hausdorff dimension - Wikipedia.