Space plasmas exhibit intermittent turbulent fluctuations, i.e., randomly alternating quietness and bursts. Fractals (discussed by Benoît Mandelbrot in 1967) describe self-similar, irregular geometrical objects with fractional dimension. Self-similarity manifests as the recurrence of the same topology at all scales. Multifractals are a generalization of fractals and describe with geometric analogs dynamical processes whose self-similarity depends on scale. Intermittency is one possible key to understanding the energy transfer from large (magnetohydrodynamic (MHD)) scales to much smaller, kinetic scales.