1. Remove seeds and rind from watermelon, cantaloupe, honey-dew melon, mango, and papaya; peel pineapple and jicama; crack coconut and peel away brown inner skin. Cut all fruit into bite-sized pieces and arrange on a platter with cocktail picks or on individual plates.
2. Squeeze the fresh limes over the fruit and sprinkle small amounts of salt and ground chile over the fruit to taste.