IAN

```
ImPoSsIbLy WIP‼‼‼

```

Stands for Insanity Array Notation. I will use

l
a
t
e
x

{\displaystyle latex}

 because I might need it sometimes in the future (this text will become outdated, as the word "future" will become "present" and even "past").

## Linear Arrays

/

a

/

=

a

2

{\displaystyle /a/=a^{2}}

/

a
,
2

/

=

/

/

/

…

/

/

/

a

/

/

/

…

/

/

/

{\displaystyle /a,2/=///\dots ///a///\dots ///}

a times

/

a
,
b
1

/

=

/

/

/

…

/

/

/

a
,
b

/

,
b

/

,
b

/

…

/

,
b

/

,
b

/

{\displaystyle /a,b+1/=///\dots ///a,b/,b/,b/\dots /,b/,b/}

a times

/

a
,
a

/

≈

f

ω

(
a
)

{\displaystyle /a,a/\approx f\_{\omega }(a)}

/

a
,
1
,
2

/

=

/

a
,

/

a
,

/

a
,
…

/

a
,

/

a
,

/

a
,
a

/

/

/

…

/

/

/

{\displaystyle /a,1,2/=/a,/a,/a,\dots /a,/a,/a,a///\dots ///}

a times

/

a
,
1
,
2

/

≈

f

ω
1

(
a
)

{\displaystyle /a,1,2/\approx f\_{\omega +1}(a)}

etc.

etc.

/

a
,
b
<
1
>
2

/

=

/

a
,
a
,
a
…
a
,
a
,
a

/

{\displaystyle /a,b<1>2/=/a,a,a\dots a,a,a/}

b times

/

a
,
a
<
1
>
2

/

≈

f

ω

ω

(
a
)

{\displaystyle /a,a<1>2/\approx f\_{\omega ^{\omega }}(a)}

continue like BEAF...

/

a
,
b
<
1
>
∗
2

/

=

/

a
,
a
<
1
>
1
<
1
>
1
<
1
>
1
…
1
<
1
>
1
<
1
>
1
<
1
>
2

/

{\displaystyle /a,b<1>\*2/=/a,a<1>1<1>1<1>1\dots 1<1>1<1>1<1>2/}

b times

/

a
,
a
<
1
>
∗
2

/

≈

f

ω

ω

2

(
a
)

{\displaystyle /a,a<1>\*2/\approx f\_{\omega ^{\omega ^{2}}}(a)}

etc.

/

a
,
b
<
1
>
∗
∗
2

/

i
s

l
i
k
e

/

a
,
b
<
1
>
∗
2

/

b
u
t

u
s
e
s

<
1
>
∗

i
n
s
t
e
a
d

o
f

<
1
>
.

{\displaystyle /a,b<1>\*\*2/\ is\ like\ /a,b<1>\*2/\ but\ uses\ <1>\*\ instead\ of\ <1>.}

etc.

/

a
,
b
<
1
><
1
>
2

/

=

/

a
,
a
<
1
>
∗
∗
∗
⋯
∗
∗
∗
2

/

{\displaystyle /a,b<1><1>2/=/a,a<1>\*\*\*\dots \*\*\*2/}

b times

/

a
,
a
<
1
><
1
>
2

/

≈

f

ω

ω

ω

(
a
)

{\displaystyle /a,a<1><1>2/\approx f\_{\omega ^{\omega ^{\omega }}}(a)}

etc.

etc.

Bet you didn't see this coming...

/

a
,
b
<
1

>

2

2

/

=

/

a
,
a
<
1
><
1
><
1
>
⋯
<
1
><
1
><
1
>
2

/

{\displaystyle /a,b<1>\_{2}2/=/a,a<1><1><1>\dots <1><1><1>2/}

b times

/

a
,
a
<
1

>

2

2

/

≈

f

ε

0

(
a
)

{\displaystyle /a,a<1>\_{2}2/\approx f\_{\varepsilon \_{0}}(a)}

etc.

Things like "

<
1

>

2

<
1
>

{\displaystyle <1>\_{2}<1>}

" ***are*** valid.

more etc.

/

a
,
a
<
1

>

a

2

/

≈

f

ε

ω

(
a
)

{\displaystyle /a,a<1>\_{a}2/\approx f\_{\varepsilon \_{\omega }}(a)}

You can start putting arrays in the subscript after <1>, and 1<1>2 = 1,1,1...1,1,2 in this case.

/

a
,
a
<
1

>

1
,
2

2

/

≈

f

ε

ω

1

(
a
)

{\displaystyle /a,a<1>\_{1,2}2/\approx f\_{\varepsilon \_{\omega }+1}(a)}

/

a
,
a
<
1

>

2
,
2

2

/

≈

f

ε

ω
2

(
a
)

{\displaystyle /a,a<1>\_{2,2}2/\approx f\_{\varepsilon \_{\omega +2}}(a)}

/

a
,
a
<
1

>

1
<
1
>
2

2

/

≈

f

ε

ω

ω

(
a
)

{\displaystyle /a,a<1>\_{1<1>2}2/\approx f\_{\varepsilon \_{\omega ^{\omega }}}(a)}

/

a
,
a
<
1

>

1
<
1

>

2

2

2

/

≈

f

ε

ε

0

(
a
)

{\displaystyle /a,a<1>\_{1<1>\_{2}2}2/\approx f\_{\varepsilon \_{\varepsilon \_{0}}}(a)}

## Dimensional Arrays

Nest the things in subscript b times with an input of a,a and get:

/

a
,
b
<
2
>
2

/

{\displaystyle /a,b<2>2/}

/

a
,
a
<
2
>
2

/

≈

f

ζ

0

(
a
)

{\displaystyle /a,a<2>2/\approx f\_{\zeta \_{0}}(a)}

etc.

etc.

more etc.

/

a
,
a
<
a
>
2

/

≈

f

φ
(
ω
,
0
)

(
a
)

{\displaystyle /a,a<a>2/\approx f\_{\varphi (\omega ,0)}(a)}

## Hyperdimensional Arrays

Nest arrays in <> and get:

/

a
,
b
<<
1
>>
2

/

{\displaystyle /a,b<<1>>2/}

/

a
,
a
<<
1
>>
2

/

≈

f

Γ

0

(
a
)

{\displaystyle /a,a<<1>>2/\approx f\_{\Gamma \_{0}}(a)}

etc.

etc.

more etc.

## Hyper-hyperdimensional Arrays

/

a
,
b
<
1

/

2
>
2

/

=

/

a
,
a
<<<
⋯
<<<
1
>>>
⋯
>>>
2

/

{\displaystyle /a,b<1/2>2/=/a,a<<<\dots <<<1>>>\dots >>>2/}

b times

/

a
,
a
<
1

/

2
>
2

/

≈

f

φ
(
ω
,
0
,
0
)

(
a
)

{\displaystyle /a,a<1/2>2/\approx f\_{\varphi (\omega ,0,0)}(a)}

etc.

/

a
,
b
<
2

/

2
>
2

/

=

/

a
,
a
<
1

/

2

>

n
e
s
t

h
e
r
e

2

/

{\displaystyle /a,b<2/2>2/=/a,a<1/2>\_{nest\ here}2/}

b times

etc.

You soon run into (1/2)/2.

Nest and get:

1/3

/

a
,
a
<
1

/

3
>
2

/

≈

f

φ
(
1
,
0
,
0
,
0
)

(
a
)

{\displaystyle /a,a<1/3>2/\approx f\_{\varphi (1,0,0,0)}(a)}

etc.

etc.

more etc.

/

a
,
a
<
1

/

a
>
2

/

≈

f

ϑ
(

Ω

ω

)

(
a
)

{\displaystyle /a,a<1/a>2/\approx f\_{\vartheta (\Omega ^{\omega })}(a)}

even more etc.

## Hyper-hyper-hyperdimensional arrays

/

a
,
b
<
1

/

/

2
>
2

/

=

/

a
,
a
<
1

/

1

/

1
…
1

/

1

/

2
>
2

/

{\displaystyle /a,b<1//2>2/=/a,a<1/1/1\dots 1/1/2>2/}

b times

/

a
,
a
<
1

/

/

2
>
2

/

≈

f

ϑ
(

Ω

Ω

)

(
a
)

{\displaystyle /a,a<1//2>2/\approx f\_{\vartheta (\Omega ^{\Omega })}(a)}

etc.

etc.

more etc.

## Hyper-hyper-hyper-hyperdimensional Arrays

/

a
,
b
<
1

/

2

2
>
2

/

=

/

a
,
a
<
1

/

/

/

…

/

/

/

2
>
2

/

{\displaystyle /a,b<1/\_{2}2>2/=/a,a<1///\dots ///2>2/}

/

a
,
a
<
1

/

2

2
>
2

/

≈

f

ϑ
(

ϑ

1

(
1
)
)

(
a
)

{\displaystyle /a,a<1/\_{2}2>2/\approx f\_{\vartheta (\vartheta \_{1}(1))}(a)}

etc.

etc.

more etc.

Things like "

1

/

2

/

2

{\displaystyle 1/\_{2}/2}

" are valid.

/

a
,
a
<
1

/

a

2
>
2

/

≈

f

ϑ
(

ϑ

1

(
ω
)
)

(
a
)

{\displaystyle /a,a<1/\_{a}2>2/\approx f\_{\vartheta (\vartheta \_{1}(\omega ))}(a)}

## Hyper-hyper-hyper-hyper-hyperdimensional Arrays

Nest the numbers in the subscript b times to get:

/

a
,
b
<
1

/

/

2

2
>
2

/

{\displaystyle /a,b<1//\_{2}2>2/}

/

a
,
a
<
1

/

/

2

2
>
2

/

≈

f

ϑ
(

ϑ

1

(
Ω
)
)

(
a
)

{\displaystyle /a,a<1//\_{2}2>2/\approx f\_{\vartheta (\vartheta \_{1}(\Omega ))}(a)}

etc.

etc.

more etc.

## Ultradimensional Arrays

/

a
,
b
<
1
∖
2
>
2

/

=

/

a
,
a
<
1

/

/

/

…

/

/

/

2
>
2

/

{\displaystyle /a,b<1\backslash 2>2/=/a,a<1///\dots ///2>2/}

b times

/

a
,
a
<
1
∖
2
>
2

/

≈

f

ϑ
(

Ω

2

)

(
a
)

{\displaystyle /a,a<1\backslash 2>2/\approx f\_{\vartheta (\Omega \_{2})}(a)}

etc.

etc.

more etc.

Now, if / is in Ultradimensional Tier 1, and \ is in Ultradimensional Tier 2, then you can continue more:

To get to Ultradimensional Tier b, do:

/

a
,
b
<

1
′

2
>
2

/

{\displaystyle /a,b<1'2>2/}

/

a
,
a
<

1
′

2
>
2

/

≈

f

ϑ
(

Ω

ω

)

(
a
)

{\displaystyle /a,a<1'2>2/\approx f\_{\vartheta (\Omega \_{\omega })}(a)}

etc.

## Ultra-ultradimensional Arrays

Start to form layers on '. Then, start to form even more layers on top of that. Get to that and form more layers on there. Nest that b times and get:

/

a
,
b
<
1
∼
2
>
2

/

{\displaystyle /a,b<1\sim 2>2/}

/

a
,
a
<
1
∼
2
>
2

/

≈

f

ϑ
(
Λ
)

(
a
)

(
# Λ
O
F
P
)

{\displaystyle /a,a<1\sim 2>2/\approx f\_{\vartheta (\Lambda )}(a)\ (\Lambda =OFP)}

etc.

## Ultra-ultra-ultradimensional Arrays

/

a
,
1
<
1
◯
2
>
2

/

=

/

a

/

{\displaystyle /a,1<1\bigcirc 2>2/=/a/}

/

a
,
2
<
1
◯
2
>
2

/

=

/

a
,
a
<
1
∼
2
>
2

/

{\displaystyle /a,2<1\bigcirc 2>2/=/a,a<1\sim 2>2/}

etc.

/

a
,
a
<
1
◯
2
>
2

/

≈

f

ψ

χ

0

(
0
)

(

Φ

1

(
0
)
)

(
a
)

{\displaystyle /a,a<1\bigcirc 2>2/\approx f\_{\psi \_{\chi \_{0}(0)}(\Phi \_{1}(0))}(a)}

## Omnidimensional Arrays

Basically, you can use the pattern we used to get from

∼

{\displaystyle \sim}

to

◯

{\displaystyle \bigcirc}

and nest it. Nest b times to get:

/

a
,
b
<
1
◊
2
>
2

/

{\displaystyle /a,b<1\lozenge 2>2/}

/

a
,
a
<
1
◊
2
>
2

/

≈

f

ψ

χ

0

(
0
)

(

ψ

χ

3

(
0
)

(
0
)
)

(
a
)

{\displaystyle /a,a<1\lozenge 2>2/\approx f\_{\psi \_{\chi \_{0}(0)}(\psi \_{\chi \_{3}(0)}(0))}(a)}

## Omni-omnidimensional Arrays

You just keep nesting that over and over again b times to get (I am aware this might be ill-defined):

/

a
,
b
<
1
♣
2
>
2

/

{\displaystyle /a,b<1\clubsuit 2>2/}

/

a
,
a
<
1
♣
2
>
2

/

≈

f

ψ

χ

0

(
0
)

(

ψ

χ

ω

(
0
)

(
0
)
)

(
a
)

{\displaystyle /a,a<1\clubsuit 2>2/\approx f\_{\psi \_{\chi \_{0}(0)}(\psi \_{\chi \_{\omega }(0)}(0))}(a)}