The Algonquin martini is a vintage cocktail from the 1920s, and named after the Algonquin Hotel in New York, built in 1902. It is a delectable little concoction that has survived the past, but on the endangered cocktails list. It is not an overly sweet drink nor a dry one, it winds up in the middle. The nice thing about the Algonquin is that it pleases either sex.