Ultima Notation

SO WIP I'M NOT EVEN GONNA SAY IT

When writing a thing:

Ultima Notation: #

Where # is some sort of array in this notation.

Other way:

Ultima Notation:

#

Update: you can now write:

U # U

Starter arrays
I will not write "Ultima Notation:" in here. But you normally would.

(0) = $$G^{G64}64$$

(0) ≈ $$f_{\omega+2}(G64)$$

(a+1) = $$G^{(a)}(a)$$

(a) ≈ $$f_{\omega2}(a)$$

( 0 ) = (((...(((0)))...))) (0) times

( 0 ) ≈ $$f_{\omega2+1}(G64)$$

( a+1 ) = if b = (0) and c = ( a ) and ƒ(b) = ( 0 ), etc., then form a fast-iteration hierarchy, and $$f_{\mathbb{V}}(d) = f_{d}(d)$$, then, ( a+1 ) = $$f_{\mathbb{V}}^c(b)$$.

( a ) ≈ $$f_{\omega3}(a)$$

( 0  ) = ( ( ( ... ( ( ( 0 ) ) )... ) ) ) ( 0 ) times

( 0  ) ≈ $$f_{\omega3+1}(G64)$$

etc.

Actually starting (although that other part is real)
<0> = (  ...   0   ...   ) (0) times

<0> ≈ $$f_{\omega^2}(G64)$$

etc.

You can no longer simply type "< >" and have it be equal to  where b = , that will be later.

0<0> = if  = ƒ(a), and b = <0>, and use the same system as used earlier, then, 0<0> = $$f_{\mathbb{V}}^b(b)$$

0<0> ≈ $$f_{\omega^2+\omega+1}(G64)$$

etc.

I think I accidentally implied that $$\mathbb{V} = \omega$$ (but that is a good thing).

Some nesting
Get to 0,0<0>.

0,0<0> ≈ $$f_{\omega^2+\omega+2}(G64)$$

etc.

0<0>0 = 0,0,0...,0,0,0<0>0 0<0> times

0<0>0 ≈ $$f_{\varepsilon_0}(G64)$$

etc.

0<0>0<0>0 = 0<0>0,0,0...,0,0,0 0<0>0 times

etc.

0<<0>>0 = 0<0>0<0>0<0>0...0<0>0<0>0<0>0 0<0>0 times

0<<0>>0 ≈ $$f_{\varepsilon_0^{\varepsilon_0}}(G64)$$

etc.

Spaced Bracket Array Ultima Notation
[0 0] = 0<<<...<<<0>>>...>>>0 0<0>0 times

etc.

[0 0] ≈ $$f_{\varepsilon_1}(G64)$$

[<0> 0] = [0,0,0...,0,0,0 0] [0 0] times

etc.

[0 1] = [0<<<...<<<0>>>...>>>0 0] [0<0>0 0] times

etc.

[0 0 0] = [0 0<<<...<<<0>>>...>>>0] [0 0<0>0] times

[0 0 0] ≈ $$f_{\zeta_0}(G64)$$

etc.

Multi-spaced Bracket Array Ultima Notation
[0 0] = [0 0 0...0 0 0] [0 0] times

[0 0] ≈ $$f_{\varphi(\omega,0)}(G64)$$

etc.

[0 0 0] and stuff like that is also valid.

[0  0] = [0  0  0...0  0  0] [0  0] times

etc.

Hyperdimensional-nested Meta-multi-spaced Bracket Ultima Notation
[0&^&0] = [0  ...   0] [0 0] times

[0&^&0] ≈ $$f_{\vartheta(\Omega^\omega)}(G64)$$

etc.

[0&^&&0] = [0&^&0&^&0&^&0...0&^&0&^&0&^&0] [0&^&0] times

[0&^&&0] ≈ $$f_{\vartheta(\Omega^\Omega)}(G64)$$

& is kind of like # in Cascading-E Notation.

Meta-hyperdimensional Bracket Ultima Notation
etc.

[0&^^&0] ≈ $$f_{\vartheta(\Omega_\omega)}(G64)$$

[0&^^&&0] does not use ">".

[0&^^&&0] ≈ $$f_{\vartheta(\Omega_{\Omega_\omega})}(G64)$$

Nesting Colon Bracket Ultima Notation
Now, we introduce the "Nesting Colon".

[0:0] = [0&&0] (using like you normally would)

etc.

Multi-nesting-colon Bracket Ultima Notation
[0::0] = [0:0:0...0:0:0] [0:0] times

etc.

Absolidus Bracket Ultima Notation
[0/0] = [0:::...:::0] [0:0] times

Multi-Absoliduses will work as well.

Ultrabsolidus Bracket Ultima Notation
[0\0] = [0///...///0] [0/0] times

Multi-Ultrabsoliduses will work as well.

NOTE: [0\/0] = [0\0\0...\0\0\0]

WIP‼

Hierarchical Ultrabsolidus Bracket Ultima Notation
\$$_0$$ = /

\$$_1$$= \

etc.

Hierarchical Separator Bracket Ultima Notation
[0|$$_0$$0] Nests Hierarchical Ultrabsoliduses [0\$$_0$$0] times

etc.

Random valid example:

[7,1811$$|_{5,4<<6>>73}$$36$$|_{57}$$1220$$|_9$$8,7,6,4,9:::1:2]

Nesting it
[0$$||_0$$0] Nests Hierarchical Separators [0$$|_0$$0] times

etc.

Omni Ultima Notation
[0~0] = [0$$|||\cdots|||_0$$0] [0$$|_0$$0] times

Multi-~ is valid.

ABSOLUTE ULTIMA NOTATION
{0O0} = [0...0] [0~0] times

Multi-O is valid.

THE FINAL GOOGOLISM
 BATS AND RED POOP = {64OOO...OOO64} {64O64} times