A machine for making collapsible cellular structures folds two fabric webs into a V-shape or C-shape, connects the webs together with strands of adhesive, applies glue lines and collects the webs on a wheel. A variable speed motor, a fabric drive system which enables glue to be applied when the fabric is not stretched and a lay-on wheel assembly with movable arm that directs the fabric onto the collector can be provided in the machine.
