Idle question: which is bigger, (3^^^3)^^^(3^^^3), or 4^^^^4?
4 ^^^^^ 4 is waay bigger. And 3 ^^^^ 3 is itself bigger than (3^^^3)^^^(3^^^3).
And how can you tell?
3 ^^^^ 3 is equal to (3 ^^^ (3 ^^^ (3 ^^^ 3))). Which seems to be a more powerful way to hook up a bunch of pentation operators than having them in separate parenthised branches.
4 ^^^^^ 4 is waay bigger. And 3 ^^^^ 3 is itself bigger than (3^^^3)^^^(3^^^3).
3 ^^^^ 3 is equal to (3 ^^^ (3 ^^^ (3 ^^^ 3))). Which seems to be a more powerful way to hook up a bunch of pentation operators than having them in separate parenthised branches.