A rewinder for cyclically winding logs of bathroom tissue or kitchen toweling with a pattern repeated between each pair of adjacent lines of transverse perforation, comprising a frame having knife-carrying perforation means, winding means, phase actuation-equipped cutoff means and means for advancing a pattern-equipped extensible web along a path toward said perforation means, a detector a on said frame for sensing the position of each pattern relative to the position of the perforation means, a controller on said frame for adjusting said perforation means to insure that each perforation is between pattern positions including means for generating a perforator knife position feed back signal, and means operably associated with said controller and cutoff means for adjusting said cutoff means to stay in time with perforations to provide a preselected count of patterns in each winding cycle.