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rotation has 3 distinct synonyms spread across 2 of its 4 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 act of rotating as if on an axis
“the rotation of the dancer kept time with the music”
Synonyms, antonyms and the broader and narrower relations for rotation come from Princeton University’s WordNet. Full sources and licences.
(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
a single complete turn (axial or orbital)
“the plane made three rotations before it crashed”
a planned recurrent sequence (of crops or personnel etc.)
“crop rotation makes a balanced demand on the fertility of the soil”