Click to cycle through different slices of n.
This is a visualization of hyperoperation. In broad strokes, hyperoperation is what you're talking about when you ask "what comes after addition, multiplication, and exponentiation?"
There are four variables in question. The operands u, m, and result r:
u + m = r
u × m = r
u m = r
And n, which indicates the "level" of the operator:
This is just for fun. Here are some remaining challenges: