We use fission yeast to study the molecular mechanism of cytokinesis. We benefit from a long history in genetic analysis of the cell cycle in fission yeast, which provided the most complete inventory of cytokinesis proteins. We used fluorescence microscopy of proteins tagged with fluorescent proteins to establish the temporal and spatial pathway for the assembly and constriction of the contractile ring. We combined biochemical analysis of purified proteins (myosin-II, profilin, formin Cdc12p and cofilin), observations of fluorescent fusion proteins in live cells and mathematical modelling to formulate and test a simple hypothesis for the assembly of the contractile ring. This model involves the formation of 65 nodes containing myosin-II and formin Cdc12p around the equator of the cell. As a cell enters anaphase, actin filaments grow from formin Cdc12p in these nodes. Myosin captures actin filaments from adjacent nodes and pulls intermittently to condense the nodes into a contractile ring.