Cell polarity is typically oriented by external cues such as cell-cell contacts, chemoattractants, or morphogen gradients. In the absence of such cues, however, many cells can spontaneously polarize in a random direction, suggesting the existence of an internal polarity-generating mechanism whose direction can be spatially biased by external cues. Spontaneous “symmetry-breaking” polarization is likely to involve an autocatalytic process set off by small random fluctuations [1]. Here we review recent work on the nature of the autocatalytic process in budding yeast and on the question of why polarized cells only develop a single “front”.