The atoll of Tetiaroa lies just 33 miles north of Tahiti (20 minutes by light aircraft) and comprises 13 motus (islets), a four-mile-wide lagoon of limpid water, and around 1,400 acres of dazzling white sand. Once, Tetiaroa was a vacation spot for Tahitian royalty, but in 1967, Hollywood royalty took over. Marlon Brando bought the atoll, married Tarita Teriipaia, his costar in “Mutiny on the Bounty” and settled down. In July, Tetiaroa will see the opening of The Brando, a resort of 35 villas, each with its own outdoor dining area, pool and private stretch of beach. The property will also boast a Polynesian spa, an organic fruit orchard and vegetable garden, and an environmental research facility.