Googols

This page documents the many derivatives of Googol.

THIS LIST IS A WORK IN PROGRESS

Base

Most extensions of Googol were coined by Johnathan Bowers and are based around his notation Bowers' Exploding Array Function, or BEAF, which Bird's Array Notation (BAN) is based on. Each extension will be defined based on how it affects Googol written in BEAF. (Because BEAF and BAN are initially identical, BEAF is referred to as BAN in the notation reference below.)

Notations

Scientific/Knuth's Up-arrow/Operator/BAN

(Notations will be dropped as they become impractical for writing the number)

Googol

10^100/10↑100/10{1}100/{10, 100}

Tier 1-Suffixes

These replace the 100 with a larger power of 10 like so:

-chime - 1,000   -toll - 10,000   -gong - 100,000   -bong - 100,000,000   -throng - 100,000,000,000

You could possibly keep going with -quadrong for 100 trillion, but these are the ones seen in MathisR.V's video.

Googolchime

10^1,000/10↑1,000/10{1}1,000/{10, 1,000}

Googoltoll

10^10,000/10↑10,000/10{1}10,000/{10, 10,000}

Googolgong

10^100,000/10↑100,000/10{1}100,000/{10, 100,000}

Googolbong

10^100,000,000/10↑100,000,000/10{1}100,000,000/{10, 100,000,000}

Googolthrong

10^100,000,000,000/10↑100,000,000,000/10{1}100,000,000,000/{10, 100,000,000,000}

Tier 2--plexes

These replace the 100 with nested Googols (or later variants). They use Greek/Latin prefixes in their names counting how much nesting there is. -triplex adds  -duplex, -quadriplex adds -triplex, etc.

Googolplex

(the only officially recognized Googol extension)

10^10^100/10↑10↑100/10{1}10{1}100/{10, {10, 100}}

Googolplexichime

10^10^1,000/10↑10↑1,000/10{1}10{1}1,000/{10, {10, 1,000}}

Googolplexitoll

10^10^10,000/10↑10↑10,000/10{1}10{1}10,000/{10, {10, 10,000}}

Googolplexigong

10^10^100,000/10↑10↑100,000/10{1}10{1}100,000/{10, {10, 100,000}}

Googolplexibong

10^10^100,000,000/10↑10↑100,000,000/10{1}10{1}100,000,000/{10, {10, 100,000,000}}

Googolplexithrong

10^10^100,000,000,000/10↑10↑100,000,000,000/10{1}10{1}100,000,000,000/{10, {10, 100,000,000,000}}

Googolduplex

(also recognized, kinda, as Googolplexian)

10^10^10^100/10↑10↑10↑100/10{1}10{1}10{1}100/{10, {10, {10, 100}}}

Googoltriplex

10^10^10^10^100/10↑10↑10↑10↑100/10{1}10{1}10{1}10{1}100/{10, {10, {10, {10, 100}}}}

Googolquadriplex

10^10^10^10^10^100/10↑10↑10↑10↑10↑100/10{1}10{1}10{1}10{1}10{1}100/{10, {10, {10, {10, {10, 100}}}}}

Googolquintiplex

10^10^10^10^10^10^100/10↑10↑10↑10↑10↑10↑100/10{1}10{1}10{1}10{1}10{1}10{1}100/{10, {10, {10, {10, {10, {10, 100}}}}}}

Googolhexiplex

10^10^10^10^10^10^10^100/(10↑)^7 100/(10{1})^7 100/{10, {10, {10, {10, {10, {10, {10, 100}}}}}}}

(At this point, the notations get so long that Up-Arrow and Operator Notation have to be compressed to fit on one line of text.)

Googolseptiplex

10^10^10^10^10^10^10^10^100/(10↑)^8 100/(10{1})^8 100/{10, {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}}

Googoloctiplex

10^10^10^10^10^10^10^10^10^100/(10↑)^9 100/(10{1})^9 100/{10, {10, {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}}}

Googolnoniplex

10^10^10^10^10^10^10^10^10^10^100/(10↑)^10 100/(10{1})^10 100/{10, {10, {10, {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}}}}

Googoldeciplex

10^10^10^10^10^10^10^10^10^10^10^100/(10↑)^11 100/(10{1})^11 100/{10, {10, {10, {10, {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}}}}}

Tier 3-Replacing -oo-

These put an entry after the 100 like so:

-ig- - 2  -ag- - 3  -ee- - 4  -i- - 5  -og- - 6  -a- - 7  -oc- - 8  -en- - 9

Giggol

10↑↑100/10{2}100/{10, 100, 2}

Giggolchime

10↑↑1,000/10{2}1,000/{10, 1,000, 2}

Giggoltoll

10↑↑10,000/10{2}10,000/{10, 10,000, 2}

Giggolgong

10↑↑100,000/10{2}100,000/{10, 100,000, 2}

Giggolbong

10↑↑100,000,000/10{2}100,000,000/{10, 100,000,000, 2}

Giggolthrong

10↑↑100,000,000,000/10{2}100,000,000,000/{10, 100,000,000,000, 2}

Giggolplex

10↑↑10↑↑100/10{2}10{2}100/{10, {10, 100, 2}, 2}

Giggolduplex

10↑↑10↑↑10↑↑100/10{2}10{2}10{2}100/{10, {10, {10, 100, 2}, 2}, 2}

Giggoltriplex

10↑↑10↑↑10↑↑10↑↑100/10{2}10{2}10{2}10{2}100/{10, {10, {10, {10, 100, 2}, 2}, 2}, 2}

Gaggol

10↑↑↑100/10{3}100/{10, 100, 3}

Geegol

10↑↑↑↑100/10{4}100/{10, 100, 4}

Gigol

10↑↑↑↑↑100/10{5}100/{10, 100, 5}

Goggol

10↑↑↑↑↑↑100/10{6}100/{10, 100, 6}

Gagol

10{7}100/{10, 100, 7}

Gocgol

10{8}100/{10, 100, 8}

Gengol

10{9}100/{10, 100, 9}

Tier 4-Replacing G-

These add more 10s before the 100. The first G in Googol is replaced with a Greek/Latin prefix based on the number of 10s.

Boogol

10{100}10/{10, 10, 100}

Boogolchime

10{1,000}10/{10, 10, 1,000}

Boogoltoll

10{10,000}10/{10, 10, 10,000}

Boogolgong

10{100,000}10/{10, 10, 100,000}

Boogolbong

10{100,000,000}10/{10, 10, 100,000,000}

Boogolthrong

10{100,000,000,000}10/{10, 10, 100,000,000,000}

Boogolplex

10{10{100}10}10}/{10, 10, {10, 10, 100}}

Boogolduplex

10{10{10{100}10}10}10/{10, 10, {10, 10, {10, 10, 100}}}

Boogoltriplex

10{10{10{10{100}10}10}10}10/{10, 10, {10, 10, {10, 10, {10, 10, 100}}}}

Biggol

10{{100}}10/{10, 10, 100, 2}

Baggol

10{{{100}}}10/{10, 10, 100, 3}

Beegol

10{{{{10}}}}10/{10, 10, 100, 4}

Bigol

10{{{{{100}}}}}10/{10, 10, 100, 5}

Boggol

10{{{{{{100}}}}}}10/{10, 10, 100, 6}

Bagol

10{{{{{{{100}}}}}}}10/{10, 10, 100, 7}

Bocgol

10{{{{{{{{100}}}}}}}}10/{10, 10, 100, 8}

Bengol

10{{{{{{{{{100}}}}}}}}}10/{10, 10, 100, 9}

Troogol

{10, 10, 10, 100}

Quadroogol

{10, 10, 10, 10, 100}

Quintoogol

{10, 10, 10, 10, 10, 100}

Sextoogol

{10, 10, 10, 10, 10, 10, 100}

Septoogol

{10, 10, 10, 10, 10, 10, 10, 100}

Octoogol

{10, 10, 10, 10, 10, 10, 10, 10, 100}

Ennoogol

{10, 10, 10, 10, 10, 10, 10, 10, 10, 100}

Decoogol

{10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 100}

Tier 5-TBA

yes i know that's the same banner from the main index. don't judge