- 1/2 cup sweetened flaked coconut (1 3/4 ounce)
- 3/4 cup all-purpose flour
- 7 tablespoons cold unsalted butter, cut into bits
- 1/3 cup confectioners sugar
- 1/4 teaspoon salt
- 2 1/2 cups chopped ripe mango (from two 1-pound mangoes) plus 1 1/2 cups diced (1/3-inch) firm-ripe mango (from one 1-pound mango)
- 3 tablespoons granulated sugar
- 2 tablespoons fresh lime juice
- 1 teaspoon unflavored gelatin (from 1 envelope)
- 1/3 cup well-chilled heavy cream
- Special equipment: a 9-inch round fluted tart pan (1 inch deep) with a removable bottom
- Preheat oven to 350°F.
- Spread coconut in an even layer in a pie plate and toast in middle of oven, stirring occasionally, until golden, 10 to 12 minutes. (Leave oven on for baking crust.) Cool coconut to room temperature, about 10 minutes.
- Pulse together flour, coconut, butter, confectioners sugar, and salt in a food processor until dough just begins to form a ball. Press dough onto bottom and up side of tart pan with floured fingers, then freeze until firm, about 10 minutes. Bake in pan on a baking sheet in middle of oven until golden, about 25 minutes, then cool completely in pan on a rack.
- Purée chopped mango (2 1/2 cups) with sugar, lime juice, and a pinch of salt in a food processor until smooth, about 1 minute. Sprinkle gelatin over 1/4 cup purée in a heatproof bowl and let stand to soften 1 minute. Set bowl over a saucepan of simmering water and stir until gelatin is dissolved. Remove bowl from heat and stir in remaining purée.
- Beat cream in a large bowl with an electric mixer until it just holds stiff peaks, then fold in purée. Set bowl with filling in a larger bowl of ice and cold water and chill, stirring occasionally, until thickened, 1 to 1 1/2 hours.
- Remove side of tart pan and spoon filling into crust, smoothing top. Chill, loosely covered, until filling is set, at least 8 hours. Before serving, let stand at room temperature at least 15 minutes but no longer than 30, then scatter diced mango over top of tart, leaving a 2-inch border around edge.