To a large pot, add the dried purple corn, water, cinnamon sticks, cloves, the pineapple peels, sugar and apple peel. Heat over high heat and once the mixture reaches a boil, reduce the heat to medium-low and simmer for 45 minutes.
Remove the chicha from the heat. Place a strainer atop a large bowl and pour mixture through it, catching the large corn ears, pulp and pineapple. Transfer to a pitcher and allow to come to room temperature before refrigerating until cold. When the chicha has gotten cold, stir in the lime juice, diced pineapple and diced green apple. Divide amongst glasses and serve.
If you like, you can reuse the scraps of the dried corn/pineapple peels/apple peel once more. You can make more chicha by adding 8 cups of water and 3/4 cups of sugar. Any more water and I fear it'll be bland!