Extended factorial notation

Extended factorial notation (EFN) is a Notation that is based on factorials.

Standard

It introduces the ?. ? is the same as ! but it's exponential. 4? = $4^{3^{2^{1}}}$.

Crazy

We can dash the !/?. Dashed ? = $n\overbrace{ ???\cdots+??? }^{n?}$. Dashed ? is $. We can dash the $ so Dashed $ = $n\overbrace{ $$$\cdots$$$ }^{n$}$ = #.

Really big

We can | the ?. |? = ? with n? dashes. But we can - the |?. We can do ||?, |||?, ||||?.

Cosmical

There is more. $\bar{?}$ = ? with n? |'s. And we can put a line over $\bar{?}$ and it'll make $\bar{\bar{?}}$. We can keep on.

$\dot{?} = \overset{...}{\bar{\bar{\bar{?}}}}$. $\dot{?}$ = ? with n? lines above it.

$\ddot{?}$ = ? with n? dots over it.

We can keep adding dots.

Outside the "box"

$?_2$ = ? with n? dots over it all in one.

We can do ${?_2}_2$ but this is weak compared to $?_3$.

$?_? = ?_{n?}$. We can also do $?_{?_?}$.

Extended

If you have the extended notation, share it with the comments.