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iMpossibly woRk iN proGress Stands for Crazy Huge Insane Notation

Linear Arrays
$$[a] = a\ a-ated\ to\ a\ a-1ated\ to\ a\ a-2ated\ to\ a\dots$$

$$[a,0] = [\dots[[[a]\dots]]]$$a times

$$[a,b+1] = [[[[[[[a,b],b],b]\dots],b],b],b]$$a times

$$[a,0,0] = [a,[a,[a,[\dots[a,[a,[a,a]]]]]]]$$a times

etc.

etc.

$$[a,b(1)0] = [a,a,a\dots a,a,a]$$b times

$$[a,a(1)0] \approx f_{\omega^\omega}(a)$$

etc.

etc.

$$[a,b(1)0(1)0] = [a,a(1)0,0,0\dots0,0,0]$$b times

$$[a,a(1)0(1)0] \approx f_{\omega^{\omega2}}(a)$$

etc.

Dimensional Arrays
$$[a,b(c+1)2] = [a,a(c)a(c)a(c)a\dots a(c)a(c)a(c)a]$$b times

$$[a,a(a)2] \approx f_{\omega^{\omega^\omega}}(a)$$

Superdimensional Arrays
Start to form arrays inside of. FGH limit: $$\omega^{\omega^{\omega^\omega}}$$

Hyperdimensional Arrays
Start to form things like 0(1)0 in superdimensional arrays. FGH limit: $$\varepsilon_0$$

$$[a,b((1))0] = [a,a(0(0(0\dots(0(0(1)0)0)0\dots)0)0)0]$$

$$[a,b((1))0] \approx f_{\varepsilon_0}(a)$$

etc.

Ultradimensional Arrays
$$[_{(1)}a] = [a,a(((\dots(((1)))\dots)))0]$$a times

$$[_{(1)}a] \approx f_{\varphi(\omega,0,0)}(a)$$

etc.

Do all of the arrays in there but with (1). Then, get to (1) on that to get to (2). etc.

Then, start to do arrays in.

$$[_{(a)}a] \approx f_{\varphi(\omega,0,0)\omega}(a)$$

$$[_{(0,0)}a] \approx f_{\varphi(\omega,0,0)\omega+1}(a)$$

You can even get to ((1)) and beyond.

$$[_{((1))}a] \approx f_{\varphi(\omega,0,0)^2}(a)$$

$$[_{(1)~(1)}a] = [_{(((\dots(((1)))\dots)))}a]$$a times

$$[_{(1)~(1)}a] \approx f_{\varphi(\omega,0,0)^\omega}(a)$$

etc.

etc.

Nest the first number in to get the second number to be (2). etc.

Then, get to (1) (1) (1) like you normally would. etc.

$$[_{1/1}a] = [_{(1)~(1)~(1)\dots(1)~(1)~(1)}a]$$a times

$$[_{1/1}a] \approx f_{\varphi(\omega,0,0)^{\omega^\omega}}(a)$$

You basically do all the stuff again there to get 2/1. etc.

Then, get (1/1)/1, and nest that to get 1/2. etc.

$$[_{1/2}a] \approx f_{\varphi(\omega,0,0)^{\varepsilon_0}}(a)$$

Get to 1/1/1. etc.

$$[_{1/1/1}a] \approx f_{\varphi(\omega,0,0)^{\varepsilon_{\varepsilon_0}}}(a)$$

1//1 = 1/1/1...1/1/1. etc.

$$[_{1//1}a] \approx f_{\varphi(\omega,0,0)^{\zeta_0}}(a)$$

$$[_{1/_11}a] = [_{1///\dots///1}a]$$a times

$$[_{1/_11}a] \approx f_{\varphi(\omega,0,0)^{\varphi(\omega,0)}}(a)$$

etc.

Thing like "$$1/_11/1$$" are valid.