# Hyperoperation visualization

Thomas LambClick 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?"

### What is being plotted

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:

### Why?

This is just for fun. Here are some remaining challenges:

- Generalize the operands to the set of reals
- Generalize the algorithm to allow for different identities
- Calculate the values of mathematical constants with different identities. Look at the forms of famous formulae with different identities. For example: is eiπ = -1 still true when identities for its operators are different? If not, what does it look like given an arbitrary set of identities?