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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 101010204. 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

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