In a saucepan, combine water, sugar and salt. Bring to Boil over medium heat, stir often. Boil until sugar has dissolved and light syrup has formed (about 2 minutes).

Remove from heat and let cool, refrigerate covered until chilled.

Combine syrup with lime juice in a pitcher, stir well.

Pur into ice cube trays and freeze for about 45 minutes. Then stick in toothpicks (if desired). Freeze for 4 hours more.

Make the towers by sticking the cubes together using the toothpicks.