01 - Line a large baking sheet with parchment paper and lightly oil a marble slab or an alternative heatproof surface.
02 - In a medium saucepan over medium heat, combine sugar, corn syrup, water, and cream of tartar. Stir gently until the sugar fully dissolves.
03 - Increase heat to high and cook without stirring until the mixture reaches 280°F on a candy thermometer.
04 - Remove from heat and stir in the peppermint extract carefully.
05 - Pour half of the mixture onto the prepared slab or baking sheet. Add several drops of red gel food coloring to the remaining half in the pan, swirl to combine, then pour next to the uncolored portion.
06 - Allow both portions to cool until just warm enough to handle, wearing heatproof gloves for safety.
07 - Continuously pull and fold the white portion until it becomes opaque and glossy; repeat the process with the colored portion.
08 - Roll each portion into ropes approximately 1/2 inch thick. Twist one white rope with one red rope together.
09 - Cut the twisted ropes into 4- to 5-inch sticks and place them on parchment paper to cool and harden completely, about 30 to 45 minutes.