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Wiktionary
finger joint

n. (context construction woodworking English) A joint, usually glued, in which multiple integral protrusions are fit into mating slots, used especially for manufacturing long moldings.

Wikipedia
Finger joint

A finger joint, also known as a comb or box joint, is a woodworking joint made by cutting a set of complementary rectangular cuts in two pieces of wood, which are then glued. To visualize a finger joint simply interlock the fingers of your hands at a ninety degree angle; hence the name "finger joint." It is stronger than a butt joint or lap joint, and often contributes to the aesthetics (appearance) of the piece.

Alternate names include box-pin joint or box joint.