Superresolution microscopy has shifted the limits for fluorescence microscopy in cell -biology. The possibility to image cellular structures and dynamics of fixed and even live cells and organisms at resolutions of several nanometers holds great promise for future biological discoveries. We recently introduced a novel superresolution technique, based on the statistical evaluation of stochastic fluctuations stemming from single emitters, dubbed "superresolution optical fluctuation -imaging" (SOFI). In comparison to previously introduced superresolution methods, SOFI exhibits favorable attributes such as simplicity, affordability, high speed, and low levels of light exposure. Here we summarize the basic working principle and recent advances.