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Douglas Harper's Etymology Dictionary
interwork

c.1600, from inter- + work (v.). Related: interworking. Past tense can be either interworked or interwrought.

Wiktionary
interwork

vb. 1 (context transitive English) To work (two or more things) into and through each other. 2 (context intransitive English) To interact.

Usage examples of "interwork".

You have admired the vast economy of labor as of mechanical force resulting from the perfect interworking with the rest of every wheel and every hand.

A vast interworking of pegged timbers, ropes and iron beams, it set up a cacophony of creaks and groans as the island rolled in the sea.