For raspberry sorbet
2/3 cup sugar
1 cup water
15 oz fresh raspberries (3 cups)
1 1/2 tablespoons fresh lemon juice

For terrine
2 pt mango sorbet
2 pt superpremium mango ice cream

Special equipment: an ice cream maker; a 12- by 4 1/2- by 3-inch loaf pan* or other 8-cup mold
Accompaniment: diced mango (optional)
mango, raspberry, terrine

1 large orange
1 large ripe mango, peeled, pitted, cut into 1/4-inch pieces
1/4 cup flaked sweetened coconut
1/4 cup chopped red onion
1/4 cup chopped fresh cilantro
2 tablespoons minced, seeded, jalapeño chili
2 tablespoons fresh lime juice
Pinch of cayenne pepper (optional)
mango, salsa,

For crust
1 1/4 cups fine graham cracker crumbs (5 oz)
3 tablespoons sugar
1/2 stick (1/4 cup) unsalted butter, melted

For filling
2 (8-oz) packages cream cheese at room temperature
1 cup plus 2 tablespoons sugar
3/4 cup fresh Key lime juice (strained from about 1 1/2 lb Key limes) or bottled
1/2 cup sour cream
1/2 teaspoon vanilla
2 1/2 tablespoons all-purpose flour
1/4 teaspoon salt
3 large eggs

For topping
2 large firm-ripe mangoes
1 tablespoon fresh Key lime juice (strained) or bottled
1/2 cup chilled heavy cream
1 tablespoon sugar

Special equipment: a 9- to 9 1/2-inch springform pan; a mandoline or other adjustable-blade slicer
lime, cheesecake, mango