## FANDOM

10,825 Pages

This next extension is pretty obvious. I turned the LEVEL to an array.

## More Rules

Let $\#$ and $\#^*$ represent rest of ARRAY/LEVEL. For $\#$, there MUST be a rest of ARRAY/LEVEL but for $\#^*$, it's optional.

Let a, b, and c_n be COUNTING NUMBERS.

As usual, here are the new rules:

• $a(1)\{0\} = a$ (I know. The LEVEL has a different numbering system unlike the ARRAY)
• $a(c_1,c_2,\cdots)\{\#, 0\} = a(c_1,c_2,\cdots)\{\#\}$
• $a(c_1,c_2,\cdots)\{\underbrace{0, 0, \cdots, 0}_{n}, b, \#^*\} = a(c_1,c_2,\cdots)\{\underbrace{a, a, \cdots, a}_{n}, b-1, \#^*\}$
• $a(c_1 + 1, c_2,\cdots)\{0\} = a(c_1, c_2,\cdots)\{\underbrace{a, a, \cdots, a}_{a}\}$
• $a(\underbrace{1, 1, \cdots, 1}_{n}, c+1, \#^*)\{0\} = a(\underbrace{a, a, \cdots, a}_{n}, c, \#^*)\{0\}$
• $a(c, \#^*)\{b, \#^*\} = a\uparrow^ca(c, \#^*)\{b-1, \#^*\}$
• $a(\#, 1)\{\#\} = a(\#)\{\#\}$

Simple enough.

## Stuff

Let's try to evaluate $2(1, 2)\{1\}$.

$2(1, 2)\{1\}$

• $=4(1,2)\{0\}$
• $=4(4,1)\{0\}$
• $=4(4)\{0\}$
• $=\text{Superquadribal}$

We can rewrite our numbers too!

• $\text{Biblex} = \text{Bibal}(1,2)\{0\}$
• $\text{Bidublex} = \text{Biblex}(1,2)\{0\}$

## Extending further

As you can see right now, this notation can be further extended to include a multidimensional ARRAY and a hyperdimensional LEVEL! We can even probably add multiple BASEs! Great!