1 Introduction The stability of extended twodimensional (2D) structures has been the subject of a longstanding theoretical debate, with previous suggestions that 2D films embedded in three-dimensional 3D space are crinkled. It was then countered that crinkles can be suppressed by anharmonic coupling between bending and stretching modes, such that a 2D membrane can exist but will nevertheless exhibit height fluctuations [1][2][3]. The mechanical behavior of graphene, the first true 2D crystal [4,5], can have profound impact on its extraordinary electronic properties [6]. Recent observations suggest that suspended graphene is not perfectly flat, but rather exhibits microscopic corrugations (ripples) which can be not only dynamic (that is, through flexural phonons) but also static [1,7,8]. In those observations, large-scale ripples (>15 nm) were visualized directly [9], whereas ripples on a