Melt the chocolate in a microwave-safe bowl.
Pour half the chocolate onto a plate. Spread the chocolate with a spoon.
Coat the glass rim with the melted chocolate.
Drizzle the remaining chocolate inside the glass, creating a pattern as you desired.
In a shaker, add ice, chocolate liqueur, Baileys, and vodka. Close the shaker and shake well.
Pour the martini into the glasses and garnish with some shaved chocolate.
