Star Fruit Cocktail

1/2 fresh star fruit
1/3 cup orange-flavored liqueur, such
    as Cointreau or Grand Marnier
3 cups ice cubes
1/2 cup white rum
1 cup freshly squeezed orange juice

Devein the star fruit by removing the tough fibrous rib that runs along each edge. In a blender, puree half a star fruit with the liqueur. Add ice, rum and orange juice. Blend until cocktail is smooth and frothy.