Simple syrup: In a small saucepan, combine 1 cup sugar with 1 cup water and bring to a boil. Simmer until the sugar is dissolved about 3 minutes. Store in a closed container in refrigerator.
Rim of Glass: Line the rim of a martini glass with honey and dip into graham cracker crumbs, coating the rim with crumbs.
Martini: Combine vanilla vodka, fresh key lime juice, simple syrup, half and half and ice in a martini shaker. Shake well until very cold. Strain into martini glass. Garnish with cinnamon stick and lime wedge.