A fudge cake is a small chocolate pastry that contains fudge. They are shaped as small round cakes, hence the name. "This recipe is also known as "Death By Chocolate, if topped with chocolate ice cream and lashings of whipped cream." In addition to Death By Chocolate, there are many variations to it. One variation is the pudding fudge cake. To make the pudding variation, you mix these ingredients: chocolate cake mix, chocolate pudding, chocolate chips.