Line a 8 x 8 inch square baking dish with parchment paper.
Put the chocolate in a heat proof bowl and set it over a small saucepan of simmering water. Stir occasionally as the chocolate melts.
In the bowl of a stand mixer fitted with a paddle attachment, beat the butter and powdered sugar until light and creamy, about 3 minutes, scraping down the bowl as necessary.
Beat in eggs one at a time, followed by the peppermint and vanilla extracts. Scrape down the bowl after each addition. Add chocolate all at once and stir until fully incorporated.
Add the chocolate mixture to the butter and powdered sugar mixture and mix until smooth. Mix in the peppermint extract. Pour the fudge into the prepared dish and use a spatula to spread it evenly. Chill in the fridge for a few hours or overnight.
Slice into small squares, using a warm damp cloth to clean the knife in between slices for a cleaner cut. Store the mints in and air tight container either in the fridge or in a dry place away from heat.
Notes:
If you are concerned about consuming raw eggs, use pasteurized eggs in this recipe. You can also heat eggs with the chocolate: When chocolate is smooth, add the eggs and beat the mixture with a hand held mixer while still over the simmering water. Continue beating until mixture is heated through and smooth, about 5 minutes or until 165°F.
Calories: 101kcal, Carbohydrates: 10g, Protein: 1g, Fat: 6g, Saturated Fat: 4g, Cholesterol: 16mg, Sodium: 5mg, Potassium: 57mg, Fiber: 1g, Sugar: 8g, Vitamin A: 97IU, Calcium: 8mg, Iron: 1mg