Nested defaultdict of defaultdict

Is there a way to make a defaultdict also be the default for the defaultdict? (i.e. infinite-level recursive defaultdict?)

I want to be able to do:

x = defaultdict(...stuff...)x[0][1][0]{}

So, I can do x = defaultdict(defaultdict), but that's only a second level:

x[0]{}x[0][0]KeyError: 0

There are recipes that can do this. But can it be done simply just using the normal defaultdict arguments?

Note this is asking how to do an infinite-level recursive defaultdict, so it's distinct to Python: defaultdict of defaultdict?, which was how to do a two-level defaultdict.

I'll probably just end up using the bunch pattern, but when I realized I didn't know how to do this, it got me interested.