Place heavy cream and white chocolate chips in a microwave-safe bowl, and microwave on 50% power in 30-second intervals until smooth, stirring in between. Divide into 4 parts. Stir in blue, yellow, and red gel food coloring to the first 3, and espresso powder and an additional teaspoon of whipping cream to the 4th.
Allow drip mixtures have cooled to a moderate temperature – they should feel slightly warm and still be fairly liquid. (Too cold and they won't drip; too hot and they might melt your frosting). Transfer to 4 squeeze bottles or piping bags. (Or you can use a spoon; it will just give you a little less control.)
Okay! Now that all the pieces are ready, it’s time to decorate your cake! My cake was pretty well set after about 20 minutes in the freezer, which was what I wanted to make sure that the drips would set and the coffee cup would stay put.
Mark eight sections on the top of the cake – I used a large kitchen knife; you can use whatever’s large and straight and close-by. With the red, yellow, and blue ganache in turn, pipe a border of ganache around the top of the two of the sections and fill it in, allowing some ganache to drip down the side of the cake. Leave two sections (next to each other) empty.
Just behind those empty sections, press the coffee cup upside down into the top of the cake at an angle, leaving a bit of room to drizzle the brown ganache underneath. Drizzle brown ganache under the rim of the cup with a small container or spoon, allowing it to run away from the cup and drizzle down the side of the cake. It should set fairly quickly if your cake is frozen.
I decorated around the top of the cake around the cup with swirls of frosting to resemble whipped cream, and just left the cake base alone this time. I’ve added leftover filling, more frosting, and more chocolate-covered espresso beans to the base of the cake before though. Your option!
Refrigerate until ready to eat - and enjoy!