a rebours against the grain alternately arsy-varsy back and forth backward and forward backwards backwards and forwards bottom side up bottom up by contraries contra contrarily contrariously contrariwise contrary contrawise conversely head over heels heels over head in flat opposition inversely just the opposite mutatis mutandis nay rather on the contrary oppositely otherwise over per contra quite the contrary rather reciprocally reversed seesaw to and fro to the contrary topsy-turvy tout au contraire turned around upside down