The paper presents elements of fractal geometry and its application in computer graphics and geometric, modeling. A connection with chaos dynamics, mostly from historical angle of view, is stressed. Two fundamental algorithms for computing fractal attractors are described. Barnsley affine, iterated function systems (IFS) are described as means of constructing deterministic fractals. It is pointed out how to introduce parameters in IFS, via Bernstein polynomials, to produce different, natural forms. Variety of applications: in animation, data compressing, rendering objects and modeling phenomena in physics and biology are described.