User blog:DrCeasium/new hyperfactorial array notation

After a lot of thinking, I have come up with an all new and improved hyperfactorial array notation, with plenty of named numbers. It is far more powerful than any of my previous attempts, and I am not really sure what the final limit is, but anyway, here is the link: https://sites.google.com/a/hollom.com/extremely-big-numbers/home. The first half of stuff on there is just basic introduction stuff to googology in case someone somehow stumbles across it without going through this post and wiki. Please tell me about any ideas, suggestions or huge problems in my notation you may think of/find in the comments. Any and all feedback is appreciated.