The ability of a eukaryotic cell to resist deformation, to transport intracellular cargo and to change shape during movement depends on the cytoskeleton, an interconnected network of filamentous polymers and regulatory proteins. Recent work has demonstrated that both internal and external physical forces can act through the cytoskeleton to affect local mechanical properties and cellular behaviour. Attention is now focused on how cytoskeletal networks generate, transmit and respond to mechanical signals over both short and long timescales. An important insight emerging from this work is that long-lived cytoskeletal structures may act as epigenetic determinants of cell shape, function and fate.In a 1960 lecture, cell and developmental biologist Paul A. Weiss encouraged his audience to think of the cell as an integrated whole "lest our necessary and highly successful preoccupation with cell fragments and fractions obscure the fact that the cell is not just an inert playground for a few almighty masterminding molecules, but is a system, a hierarchically ordered system, of mutually interdependent species of molecules, molecular groupings, and supramolecular entities; and that life, through cell life, depends on the order of their interactions" 1 . This statement may be more relevant today than it was 50 years ago. Despite tremendous progress, fundamental gaps remain between our understanding of individual molecules and our understanding of how these molecules function collectively to form living cells. The sequencing of genomes outpaces characterization of the cellular components they encode and far exceeds our ability to reassemble these components into the types of complex system that can provide mechanistic insight into cellular behaviour. An even more difficult task is to connect the behaviour of cells in culture with that of more complex living tissues and organisms.Ever since muscle fibres were first examined under rudimentary microscopes in the seventeenth century, researchers have been motivated to understand how the process of self-organization generates dynamic, robust and elaborate structures that organize and 'animate' cells. The biological importance of establishing order over diverse length scales and timescales, as well as the challenges of understanding how systems of self-organizing molecules carry out cellular functions, is perhaps best illustrated by studies of the cytoskeleton.