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Not to be confused with gowngulus.
Gongulus

Hierarchial visual representation of gongulus

Gongulus is equal to \(\{10,10 (100) 2\}\) in BEAF.[1] It is equivalent to solving a centeract (a 100-dimensional analog of the cube) of 10s with sidelength 10, and can thus be written 10100 & 10 using the array of operator. It has googol 10's. The term was coined by Jonathan Bowers.

In the article "Why Does God Exist?",[2] Bowers makes a mention of "minus gongulus", making it the least real number explicitly mentioned on his site.

The full array has googol entries. It is visualized like:

{10,10,...,10,10(1)...(1)10,10,...,10,10(2)...(1)...(2)...(3)...(4)...(5)...(98)...(99)...(99)...(98)...(5)...(4)...(3)...(2)...(1)...(2)10,10,...,10,10(1)...(1)10,10,...,10,10}

Approximations[]

Notation Approximation
Bird's array notation \(\{10,10 [101] 2\}\) (exact)
Cascading-E notation \(\textrm{E}10\#\text{^}\#\text{^}\#100\)
Hyperfactorial Array Notation \(10![1,[1,1,101],1,2]\)
X-Sequence Hyper-Exponential Notation \(10\{X^{X^X}\}100\)
Fast-growing hierarchy \(f_{\omega^{\omega^{100}}}(10)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{100}}}}(10)\)
Slow-growing hierarchy (using this system

of fundamental sequences)

\(g_{\psi_0(\Omega^{\Omega^{\Omega^{99}\omega}})}(10)\)

Sources[]

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
  2. Bowers, Jonathan. Why Does God Exist?. Retrieved 3 June 2014.

See also[]

Gongulus and related numbers

Gongulus group: gongulus(plex/duplex/triplex/quadraplex) · gingulus · gangulus · geengulus · gowngulus · gungulus
Bongulus group: bongulus · bingulus · bangulus · beengulus
Trongulus group: trongulus · quadrongulus
Goplexulus group: goplexulus · goduplexulus · gotriplexulus
Tiaokhiao's extensions: second gongulus · gagulus · gyngulus · bongulusplex · bowngulus · bungulus · bagulus · byngulus · quintongulus · sextongulus · septongulus · octongulus · giplexulus · goquadruplexulus · goquintiplexulus
BAT4423's extensions: tringulus · trangulus · treengulus · trowngulus
XRQ CORPORATION's extensions: gongulusquintiplex · gingulusplex · gangulusplex · geengulusplex · goungulus · bingulusplex · trongulusplex · trungulus · tragulus · tryngulus · quadrongulusplex · quadringulus · quadrangulus · quadreengulus · quadrowngulus · quadrungulus · quadragulus · quadryngulus · nonongulus · decongulus · undecongulus · duodecongulus · tredecongulus · quattuordecongulus · quindecongulus · sexdecongulus · septendecongulus · octodecongulus · novemdecongulus · vigintongulus · trigintongulus · quadragintongulus · quinquagintongulus · sexagintongulus · septuagintongulus · octogintongulus · nonagintongulus · centongulus · millongulus · googolongulus · goplexulusplex · giplexulusplex · gaplexulus · geeplexulus · gowplexulus · gunplexulus · boplexulus(plex) · biplexulus · baplexulus · beeplexulus · troplexulus · triplexulus · traplexulus · quadroplexulus · quintoplexulus · giduplexulus · boduplexulus · troduplexulus · gosextiplexulus · goseptiplexulus · go-octiplexulus · gononiplexulus · godeciplexulus · gocentiplexulus
MultiArrest91's extensions: quintingulus · quintangulus · microngulus
HaydenTheGoogologist2009's extensions: goplexulusfact · gogridplexulus · gokubikplexulus · gogongulusplexulus · gogongulplexulusfact · gogongridulplexulus · gogongkubikulplexulus · gogongulusdeusplexulus · gogongulustruceplexulus · gobongulplexulus · gotrongulplexulus · goplexulusdeus · goplexulustruce · hyper-gongulusfact · hyper-gingulusfact · hyper-gangulusfact · hyper-bongulusfact · hyper-trongulusfact

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