Those mating problems in 2D, 3D, 4D and so on, with standard chess pieces adjusted for dimensionality, are extremely difficult and I don’t find a lot about that Googling all around. Perhaps one day, we will have a well-founded theory about that. Or maybe a solving algorithm for this kind of problems. “How many white kings can hunt down a black horse on a 3D chess board and how?” On the unbounded 3D chess board?
Perhaps we will have it one day.
Now something to relax. The sum of all gravity forces between each pair of atoms inside our planet Earth. Not as vectors, just the sum of all magnitudes. Approximately.
A discussion there: