A monokini, sometimes referred to as a unikini,'s a woman's one-piece garment equivalent to the lower half of a bikini. This usage of bikini leaves the breasts uncovered. The term monokini's also used for any topless swimsuit, particularly a bikini bottom worn without a bikini top. History In 1964, Rudi Gernreich (also spelt Rudy Gernreich), an Austrian-American fashion designer, designed the original monokini in the US. Gernreich also invented its name, and the word monokini's first recorded i… (More on Monokini)