I believe the bikini got its name from Bikini Atoll, a small island upon which the US government was testing the then-new hydrogen fusion bomb which outdid the older plutonium and uranium fission bombs by a factor of ten or more. Maybe this garment was reputed to make the girl look as hot as the fireball generated by this bomb? The “nude dancer” in the photo doesn’t look all that hot in the new bikini, though. Looks like she’s showing much wear and tear.
Bikini atoll and the slight pun on “bi” for two part, as opposed to the monokini. If I have to choose ....