User blog comment:Y g 2/Hexxel Notation/@comment-27513631-20160222103721

At the moment your notation looks to be reasonably fast growing, but I've noticed that you've never done anything like a•⬡•a•⬡•a...a•⬡•a. This isn't necessarily a problem, but you miss out on ever using recursion on a or b, which has made your system much weaker than it could be.

Also, try setting out formal rules for your system, (like a•⬡k+1•b = a↑a•⬡k•bb) instead of having us just follow the pattern (what does "continues the monohex pattern, but nested a•⬡•b times" mean, for instance?), it makes it a lot easier to see exactly how the notation works, and the growth rate and size of expressions.