> These new findings might sound confusing, as if one stated that a kind of cake may exist but that no recipe exists to create it.

> “We would say that it is not the recipe that is the problem. Instead, it is the tools you have to make the cake that is the problem,” says study senior author Anders Hansen, a mathematician at the University of Cambridge. “We are saying that there might be a recipe for the cake, but regardless of the mixers you have available, you may not be able to make the desired cake. Moreover, when you try to make the cake with your mixer in the kitchen, you will end up with a completely different cake.”

> In addition, to continue the analogy, “it can even be the case that you cannot tell whether the cake is incorrect until you try it, and then it is too late,” Colbrook says. “There are, however, certain cases when your mixer is sufficient to make the cake you want, or at least a good approximation of that cake.”