WordNet records no synonym and no antonym for rings. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
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.
gymnastic apparatus consisting of a pair of heavy metal circles (usually covered with leather) suspended by ropes; used for gymnastic exercises
“the rings require a strong upper body”
Synonyms, antonyms and the broader and narrower relations for rings come from Princeton University’s WordNet. Full sources and licences.