mesh has 13 distinct synonyms spread across 7 of its 9 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
the number of openings per linear inch of a screen; measures size of particles
“a 100 mesh screen”
contact by fitting together
“the engagement of the clutch”
the topology of a network whose components are all connected directly to every other component
the act of interlocking or meshing
“an interlocking of arms by the police held the crowd in check”
coordinate in such a way that all parts work together effectively
Synonyms, antonyms and the broader and narrower relations for mesh come from Princeton University’s WordNet. Full sources and licences.