User blog:Billicusp/Extending ExE to absurd heights

One day, while sitting around, and fighting dragons, and also making millions of dollars, and also I cannot remember the circumstances at all, I suddenly felt the need to extend upon ExE. The way I did it was kinda weird though--instead of using the arrays of hyperions, I felt like going a different way, and nested the brackets instead. So I thought--why not have the blasphemorgulus look like E100##100, rather than E100{#,#,1,2}100? This doesn't allow greater extensibility, but it extensibilifies the numbers in a different direction. I then thought of having E100##100 (which I called increhensulus or thrasphemorgulus) be equal to E100##100.

This posed an obvious continuation---

E100##100=quakensulus

E100##100=pentekensulus

etc.

But these braces are getting hard to write out, so I decided to use E100#[#]#n as E100##100, with n pairs of braces. I also quickly noticed that this was kind of like the "fourth level" of ExE---multiple hyperions were the first level, hyperoperations on the hyperions were the second level, the braces (extended hyperoperators) were the third, and these brackets were the fourth. So if I nested the brackets, that would be a fifth level, right?

E100#[#]#100=gengrior

E100#[#]_5#100=quingrior (the _5 means a subscripted 5)

E100#[#]_6#100=sextengrior

etc.

But now the subscripts can be diagonalised over: E100#<#>#n=E100#[#]_n#100. This brings us to the second superlevel of ExE: E100#<#>#100=gabbadon (from googol+abbadon). But even those can be nested:

E100#<<#>>#100

E100#<#>_2#100

E100#<<<#>>>_6#100

But what's the third superlevel? From here, things can be generalized: E100#|2,3|#|2,3|#100 means the third level of the second level of levels (aka the third superlevel). So we can continue much much faster tthan before:

E100#|2,3||2,3|#|2,3||2,3|#100 (the |2,3| is still a bracket, and can be nested)

E100#|2,3|#|2,3|_2#100 (the second level of the third superlevel)

E100#|2,4|#|2,4|#100 (the fourth superlevel)

E100#|3,2|#|3,2|#100 (the third level of level--aka hyperlevel)=gannigax

E100#|4,2|#|4,2|#100 (the fourth level of level, aka tetriper-level or 4-level)=gungulum

etc.

So I define

E100#|100,2|#|100,2|#100 (which is the hundredth level of level, aka centiper-level, or 100-level) as one stellathromax. I think it would be around the SVO, but maybe not? I'm really bad with stuff above phi(w,0). If there is some "fatal flaw" with this, please point it out. Thanks for reading!