Along the glittering coast of southern France, among a jungle of olive trees and aloes, a white villa rose from an earthen terrace. Eileen, a new architect previously known for her elegant chairs and furniture, built it as a haven for her and her lover; she realized each detail, designing the villa around their movements and habits. When the outspoken Le G, a founder of Modernist architecture, first laid eyes on the house, he could see his influence...