In the freezer, chill 4 martini glasses. Place sugar crystals in shallow bowl; fill second bowl with water to a depth of about 1/4 inch. Dip the rim of each glass in water, then in sugar crystals. On the inside of each glass, draw a spiral with 1 tablespoon chocolate syrup. Place glasses back in freezer while preparing Peppermintini. In blender, blend together ice cream, crème de cacao and gin. Carefully pour into prepared glasses, dividing mixture equally. Garnish each glass with 1 peppermint stick. Serve immediately.

*For a non-alcoholic version, substitute 8 ounces non-alcoholic white crème de cacao or half-and-half for the 4 ounces of alcoholic crème de cacao and 4 ounces vodka.