Instead of joining two parts with a pin or a nail, a living hinge is molded as one continuous piece, with the fold line left deliberately very thin — typically 0.3–0.5mm — so that thin strip bends and acts as the hinge itself. Shampoo-bottle caps, ketchup lids, and portable food-container lids are everywhere. There's no hinge, pin, or screw at all, which cuts part count directly (tying straight back into design-for-assembly) and removes an entire assembly step.
This works because certain plastics — polypropylene above all — can bend repeatedly at very thin sections without cracking; the crystalline structure realigns under the strain instead of fracturing. Too thin and it tears on first use; too thick and it "whitens" (stress-blooms) and snaps after a handful of folds — so the exact thickness gets validated with physical prototypes, accounting for both the material and the direction resin flowed during molding.
Lining up several parallel fold lines (a multi-living-hinge) can approximate a gentle continuous curve, which is how some products fake a flexible bend without switching to an entirely different, more expensive material.
When to use
For a lid or flap that opens and closes repeatedly and needs to be cheap, with no separate hinge hardware (usually in PP).