Part 2

The Notation

These numbers use the notation described here.

The Numbers

Barr Series

Barr

$Barr=[2,2]$

Barr is a class 1 linear array of two twos. It is equal to 4.

Trarr

$Trarr=[3,3,3]$

Trarr is a class 1 linear array of three threes. It is equal to 729.

Quadrarr

$Quadrarr=[4,4,4,4]$

Quadrarr is a class 1 linear array of four fours. It is equal to 65536⁴, or about 1.84x10¹⁹

Decarr

$Decarr=[10,10,10,10,10,10,10,10,10,10]$

Decarr is a class 1 linear array of ten tens. It is equal to $10^{1,000,000,000}$, making it a googol to the power of 10,000,000; or the trialogue to the power of one tenth.

Icosarr

$Icosarr=[20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20]$

Icosarr is a class 1 linear array of twenty twenties. It is equal to $20^{5,242,880,000,000,000,000,000,000}$

It is approximately googol to the power of 68,200,000,000,000,000,000,000.

Centarr

$Centarr=ARR(100,100,1)=\underset{100}{[\underbrace{100,100,...,100,100}]}$

Centarr is a class 1 linear array of one hundred one hundreds. It is equal to $100^{100^{99}}\approx10^{10^{198}}$

It is greater than a googolplex but still not very large relative to most of the following numbers...

Superbarr Series

Superbarr

$Superbarr=[[2,2],[2,2]]$

Superbarr is a class 1 square array of twos with side length 2. It is equal to 256.

Supertrarr

$Supertrarr=ARR(3,3,3)$

Supertrarr is a class 1 cubic array of threes with side length 3. It is equal to $729^{729^{1062884}}\approx10^{10^{3042747}}$.

It is between Googolplexigong and Googolpleximine

Superquadrarr

$Superquadrarr=ARR(4,4,4)$

Superquadrarr is a class 1 four-dimensional cubic array of fours with side length 4.

It is probably comparable to Googoltriplex

Supercentarr

$Supercentarr=ARR(100,100,100)$

Supercentarr is an array of 100s with 100 dimensions and a side length of 100

Each of it's two-dimensional component arrays has a value exceeding 10^1010204. It is comparable to the Grangolplex, but smaller than the Argold

Argol Series

Argol

$Argol=ARR(10,10^{100},1)=\underset{10^{100}}{[\underbrace{10,10,...,10,10}]}$

Argol is a class 1 linear array of a googol tens. As such, it is equal to $10^{10^{Googol-1}}$, or Googolduplex to the power of one-tenth.

Argolplex

$Argolplex=10^{Argol}=[10,\underset{10^{100}}{[\underbrace{10,10,...,10,10}]}]$

Argolplex is ten to the power of Argol. It is also equal to a class 1 array with two entries, of which the first is 10 and the second is a class 1 array containing a googol tens.

Argarr

$Argarr=ARR(ARR(10,10^{100},1),ARR(10,10^{100},1),1)$

Argarr a class 1 linear array with a Argol entries, each one equalling Argol.

It is equivalent to a non-square two dimensional array a googol wide and an Argol high, with each entry equalling 10.

It is equal to $Argol^{Argol^{Argol-1}}$

Grargol Series

Grargol

$Grargol=ARR(10,10^{100},2)$

The Grargol is a class 1 square array of tens with a side length of one googol.

It is equal to $Argol^{Argol^{Googol-1}}$

Spargol

$Spargol=ARR(10,10^{100},3)$

The Spargol is a class 1 cubic array of tens with a side length of one googol.

It is equal to $Grargol^{Grargol^{Googol-1}}$

Hypargol

$Hypargol=ARR(10,10^{100},4)$

The Hypargol is a class 1 four-dimensional cubic array of tens with a side length of one googol.

It is equal to $Spargol^{Spargol^{Googol-1}}$

Ginormargol Series

Ginormargol

$Ginormargol=ARR(10,10^{100},10)$

The Ginormargol is a class 1 ten-dimensional cubic array of tens with a side length of one googol.

It is comparable to the Endekalogue

Ginormargold

$Ginormargol=ARR(10,10^{100},1000)$

The Ginormargold is a class 1 array of tens with 1,000 dimensions and a side length of one googol. It is comparable to the Googolmilliplex

Tethrarr Series

Tethrarr

$Tethrarr=^{2}[10,10,10,10,10,10,10,10,10,10]$

The Tethrarr is a class 2 linear array of ten tens.

It is comparable to the Hectalogue

Greatethrarr

$Greatethrarr=^{2}\underset{100}{\underbrace{[100,100...100,100]}}$

The Greatethrarr is a class 2 linear array of one hundred one hundreds.

Greatethrarrgong

$Greatethrarrgong=^{2}\underset{100000}{\underbrace{[100000,100000...100000,100000]}}$

The Greatethrarrgong is a class 2 linear array of a hundred thousand hundred thousands.

Ginormatethrarr

$Ginormatethrarr=^{2}ARR(10,10,10)$

The Ginormatethrarr is a class 2 array of tens with 10 dimensions and a side length of 10.

Pentathrarr

$Pentathrarr=^{3}ARR(10,10,10)$

The Pentathrarr is a class 3 array of tens with 10 dimensions and a side length of 10.

Hexathrarr

$Hexathrarr=^{4}ARR(10,10,10)$

The Hexathrarr is a class 4 array of tens with 10 dimensions and a side length of 10.

Hyperthrarr

$Hyperthrarr=^{100}ARR(10,10,10)$

The Hyperthrarr is a class 100 array of tens with 10 dimensions and a side length of 10.

Argold Series

Argold

$Argold=ARR(10,10^{100},100)$

The Argold is a class 1 array of tens with 100 dimensions and a side length of one googol.

It is comparable to and greater than Grangolplex

Graergold

$Graergold=^{2}ARR(10,10^{100},100)$

The Graergold is a class 2 array of tens with 100 dimensions and a side length of one googol.

One of its linear components alone most probably exceeds the Gaggol

Trargold

$Trargold=^{3}ARR(10,10^{100},100)$

The Trargold is a class 3 array of tens with 100 dimensions and a side length of one googol.

Quadrargold

$Quadrargold=^{4}ARR(10,10^{100},100)$

The Trargold is a class 4 array of tens with 100 dimensions and a side length of one googol.

Quintargold

$Quintargold=^{5}ARR(10,10^{100},100)$

The Quintargold is a class 5 array of tens with 100 dimensions and a side length of one googol.

Hyperargold

$Hyperargold=^{100}ARR(10,10^{100},100)$

The Hyperargold is a class 100 array of tens with 100 dimensions and a side length of one googol. More  coming soon.

Hyperargoldagong Series

Hyperargoldagong

$Hyperargoldagong=^{100000}ARR(10,10^{100000},100000)$

The Hyperargoldagong is a class 100,000 array of tens with 100,000 dimensions and a side length of one Googolgong

Hyperargoldamine

$Hyperargoldamine=^{100000000}ARR(10,10^{100000000},100000000)$

The Hyperargoldamine is a class 100,000,000 array of tens with 100,000,000 dimensions and a side length of one Googolmine

Hyperargoldatrine

$Hyperargoldatrine=^{100000000000}ARR(10,10^{100000000000},100000000000)$

The Hyperargoldamine is a class 100,000,000,000 array of tens with 100,000,000,000 dimensions and a side length of one Googoltrine

More  coming soon.

Golthrarr Series

Golthrarr

$Golthrarr=^{100}ARR(100,100,100)$

The Golthrarr is a class 100 array of one hundreds with 100 dimensions and a side length of 100.

Golthrarrthoth

$Golthrarrthoth=^{100}ARR(100,100,Golthrarr)$

The Golthrarrthoth is a class 100 array of 100 with a Golthrarr dimensions and a side length of 100.

Grand Golthrarrthoth

$Grand\,Golthrarrthoth=^{100}ARR(100,100,Golthrarrthoth)$

The Grand Golthrarrthoth is a class 100 array of 100 with a Golthrarrthoth dimensions and a side length of 100.

Grand Grand Golthrarrthoth

$Grand\,Grand\,Golthrarrthoth=^{100}ARR(100,100,Grand\,Golthrarrthoth)$

The Golthrarrthoth is a class 100 array of 100 with a Grand Golthrarrthoth dimensions and a side length of 100.

Omega Golthrarrthoth

$Omega\,Golthrarrthoth=\underset{Golthrarrthoth}{\underbrace{Grand\,Grand ... Grand\,Grand}}\,Golthrarrthoth$