In a large saucepan, bring sugar and water to a boil over medium heat. Gently swirl the pan and cook until the mixture turns golden brown, about 5 to 10 minutes.

Carefully add the butter and whisk until thoroughly incorporated. Slowly stream in the heavy whipping cream while whisking; the caramel may harden initially, but continue cooking and whisking until smooth and runny. Remove from heat and set aside.

Preheat the oven to 350°F and set aside a parchment lined 9”x13” cake pan.

In a large bowl, whisk together eggs and sugar on medium high speed until nearly tripled in volume, and light and foamy in color and texture, about 5 to 8 minutes. Gently add oil, milk, and vanilla, one at a time, whisking gently after each addition.

Sift and fold in all-purpose flour, baking powder, and salt. Mix gently to prevent deflating the batter.

Transfer batter to prepared pan and bake until lightly browned and an inserted toothpick comes out clean, about 20 to 25 minutes. Remove from the oven and cool completely.

In a small saucepan, combine all ingredients and cook over medium low heat until the sugar has dissolved and the mixture is lukewarm. Remove from heat and set aside.

Gently remove the cooled cake from the pan. Carefully remove the parchment paper and place back in the original pan. Using a fork or toothpick, prick holes over the surface of the cooled cake.

Gently pour the prepared milk mixture evenly over the cake. Cover the pan and refrigerate while working on the remaining steps.

Combine all the ingredients in the bowl of an electric mixer fitted with the whisk attachment. Beat until stiff peaks form.

Reserve and set aside approximately ¼ of the prepared whipped cream for the final design. Spread remaining whipped cream over the top of the cooled cake in an even layer.

Carefully pour the prepared cooled caramel over the cake, tilting the pan to help cover uneven spots.

Transfer reserved whipped cream to a piping bag and pipe parallel lines across the top of the cake. Use a toothpick to drag through the lines in the opposite direction to create the quintessential look of trileçe.

Refrigerate until ready to serve, and refrigerate leftovers.