User blog:DrCeasium/Extended Cascading-E notation

I have recently been looking into hyper-E notation and it's extensions, and I have devised my own extension to it to take it, I believe, a lot further than normal cascading-E notation before bringing in Bowers' extended operators as well. There is one minor change, and that is that a string of hyperions is now interpreted as a sum of hyperions (##### = #+#+#+#+# for example) in my extension. Then, the basic idea is to extend the hyperions so that they work in a similar way to structures of omegas in the fast growing hierarchy. Then, further hyperion structures can be produced by using hyper-E notation on hyperions themselves (E(#)10 for example). The one other minor change is to, to avoid confusion, put hyperion structures in square brackets when they are used to seperate 2 numbers, but not when they are used as values to generate larger structures (E(#)#[#^#]# for example). This can be seen in a bit more detail here.

This can then be extended to larger structures and therefore numbers like E100[E(#)#[E(#)#[E(#)#[#]#]#]#]100.