Both Cyndi and GaGa each have their own color and all proceeds from buying their lipsticks, ladies, will go to AIDS charities.

Gathering two of music’s most eccentric (and eccentrically dressed) personalities in one room at a restaurant known as a cross-dresser paradise is a recipe for spontaneous personality combustion — especially when the two in question are Lady Gaga and Cyndi Lauper at Lucky Cheng’s in Manhattan.

It’s a sartorial match made in heaven (or, for some, that other place) — Lauper, who rose to fame in the Eighties as much for her outrageous getups and rainbow-hued hair as for her number-one records, and Gaga, who wears everything from a hair bow made of her own hair to Giorgio Armani Privé. It’s also a meeting to talk about sex: specifically, the ad campaign for the MAC AIDS Fund, where the two have teamed up. Both women are expected to make personal appearances on behalf of the initiative.

“People think if you’re strong about your sexuality, you must have a d--k,” says Gaga unapologetically. “And that’s what this is about. You can be strong about your sexuality and be a smart woman who wears lipstick and high heels and looks pretty.”