The Hamptons have long been a haven for the world’s elite. Its breathtaking vistas inspired Walt Whitman and Winslow Homer; its social forebears include Gerald and Sara Murphy entertaining Léger and Fitzgerald; Kurt Vonnegut, Jackson Pollock, and Andy Warhol all found inspiration on America’s Riviera. Spectacular estates from the Gilded Age rival the sprawling mansions of the bold-faced names attracted to this beachfront strip on Long Island each summer.