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 the likes of Gerald and Sara Murphy entertaining greats such as Leger and Fitzgerald; Kurt Vonnegut, Jackson Pollock, and Andy Warhol all found inspiration on America's Riviera. Spectacular estates from the Gilded Age's business barons, designed by legendary architects such as Stanford White, rival...