User blog comment:Swooped me in one hit/my first attempt at creating notation./@comment-29310326-20170215152342/@comment-30754445-20170215164746

Here's one tip:

Try to define the notation by using math instead of words.

For example, if you say that n-p-q gets you a power tower of height p*q, then this can be written like this:

n-p-q = n-(p*q)

For example, 5-6-10 = 5-(6*10) = 5-60.

Why am I saying this? Because words are simply not powerful enough to get us very far. Note how at every stage you had to say "and this means we have a power tower of height X". This means you're stuck at making simple power towers higher and higher, which won't get you far in the long run.

Also, I think the (y) step is the point where your notation is supposed to transcend simple power towers. That's why you had trouble putting that step in to words in a concise way. If you find a way to write that last step mathematically, your notation will become much stronger.