1. Roll the limes back and forth over the counter with the palm of your hand. Cut limes in half, and juice them by hand or with a juicer; reserve rinds. (You should have about 1/2 cup juice.) Transfer juice and rinds to a large pitcher.

2. Bring 1 cup water to a boil in a small saucepan. Add sugar or honey, and stir until dissolved. Pour syrup into the pitcher, and add 4 cups water. Stir until well blended. Add more sugar or honey, if desired. Refrigerate 1 hour. Discard rinds. Serve limeade garnished with lime slices.