A coiler for producing tighter or smaller coils of dunnage uses a cam to move fork pins from a dunnage-receiving position inwardly to a more closely-spaced coiling position. The fork pins are coupled to pin mounts that cooperate with the cam and slots in a guide plate to move the parallel fork pins between the dunnage-receiving and coiling positions. The fork pins are mounted to extend perpendicular to and through the guide plate on opposing sides of a path of the dunnage to capture and wind a dunnage strip into a coil.
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