A system includes a supply of an inflatable web (100) and a nozzle (240). The inflatable web includes chambers (116), an inflation channel (112), and cross seals (114) between the inflation channel and the chambers. The inflatable web also includes ports (124) that pass through the cross seals to permit gas to pass from the inflation channel to the chambers. The nozzle has an outlet (242) configured to insert gas into the inflation channel as the inflatable web is moved in a downstream direction. The system is configured to feed the inflatable web along a path from the supply and past the nozzle in the downstream direction. The system is configured to hold the supply of the inflatable web with respect to the nozzle such that the cross seals contact the nozzle and rides along a portion of the nozzle as the inflatable web is moved in the downstream direction.

Sheet packaging has a corrugated ply bonded to a backing ply. The corrugated ply forms parallel flutes. The packaging comprises voids through both the corrugated ply and the backing ply at intervals along the flutes, thereby forming a plurality of insular portions interconnected by flexures. Each insular portion has a flute portion and a backing portion between adjacent voids and bonded together at respective edges and each flexure comprises bonded-together portions of the corrugated ply and the backing ply. The flexures confer hyper flexibility to the packaging wherein each flexure possesses an independent bend axis across which the flexure can both be twisted and bent.

Sheet packaging has a corrugated ply bonded to a backing ply. The corrugated ply forms parallel flutes. The packaging comprises voids through both the corrugated ply and the backing ply at intervals along the flutes, thereby forming a plurality of insular portions interconnected by flexures. Each insular portion has a flute portion and a backing portion between adjacent voids and bonded together at respective edges and each flexure comprises bonded-together portions of the corrugated ply and the backing ply. The flexures confer hyper flexibility to the packaging wherein each flexure possesses an independent bend axis across which the flexure can both be twisted and bent.