Put the oranges, limes, sugar, and mint in a large rocks glass. Muddle the leaves and citrus by pressing them with a pestle or a wooden spoon until juicy and fragrant. Add the rum and ice. Cover with a cocktail shaker and shake vigorously, or stir, until combined and chilled, about 30 seconds. (In general, by the time the shaker mists up the drink is ready.) Serve.
Copyright (c) 2004 Television Food Network, G.P., All Rights Reserved.