Mix the vodka, Triple Sec, sugar, and lemon juice in a cocktail shaker half-filled with ice; shake well (supposedly the cocktail is to be shaken 40 times to make sure the sugar is well blended). Pour strained liquor into sugar-rimmed martini glass and garnish with a twisted peel of lemon. NOTE: To create a sugar-rimmed glass, take a lemon wedge and rub the drinking surface of the glass so it is barely moist. Dip the edge of the glass into sugar.