Patricia Urquiola has earned boatloads of critical and commercial success. Ever prolific, she's tried her hand at an astonishing range of products, from outdoor furniture in an overblown wicker weave to a bathtub aerodynamic enough to fly. Her client list reads like a who's who of top-shelf manufacturers: Agape, Axor, B&B Italia, Flos, Hansgrohe, Kartell, Moroso. No less impressive is her first hotel project, the Mandarin Oriental, Barcelona—about 500 miles from where she was born.