User blog:Ubersketch/A universal notation

I’ve been thinking about a universal notation. Ideally it would be able to have unlimited growth rate, be able to express any kind of recursion in a compact manner, and wouldn’t require many extensions, and it should be easy to replicate notations with it. I tried doing this with the FIH but it wasn’t quite there. I’d like some help with this ideal, as foolish as it may be.