List of googolisms/Quadratic omega level

**List of googolisms**

* Class 0 and 1
* Class 2
* Class 3
* Class 4
* Class 5
* Tetration level
* Up-arrow notation level
* Linear omega level
* **Quadratic omega level**
* Polynomial omega level
* Exponentiated linear omega level
* Exponentiated polynomial omega level
* Double exponentiated polynomial omega level
* Triple exponentiated polynomial omega level
* Iterated Cantor normal form level
* Epsilon level
* Binary phi level
* Bachmann's collapsing level
* Higher computable level
* Uncomputable numbers

**Smaller numbers**

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{\displaystyle f\_{\omega ^{2}}(f\_{3}(10))}

## ~ **Failed to parse (Conversion error. Server ("https://services.fandom.com/mathoid-facade/") reported: "Cannot get mml. HTTP 404 Not Found"): {\displaystyle f\_{\omega ^{2}2}(f\_{3}(10))}**

* Chainol, s(3,2,2,1,2)
* Great gugolthra, E100###3#2
* Great gugoltesla, E100###4#2
* Great gugolpeta, E100###5#2
* Great gugolhexa, E100###6#2
* Great gugolhepta, E100###7#2
* Great gugolocta, E100###8#2
* Great gugolenna, E100###9#2
* Great gugoldeka, E100###10#2
* Generalplex, {10,3,1,1,2}
* Grand throogol / Grandogoogolgrandoplex, E100###100#2
* Kaboodolplex, **Failed to parse (Conversion error. Server ("https://services.fandom.com/mathoid-facade/") reported: "Cannot get mml. HTTP 404 Not Found"): {\displaystyle f\rightarrow \underbrace {10\rightarrow 10\ldots \rightarrow 10} \_{\text{kaboodol}}(100)}**
, where f(n) = hyper(n,n,n)
* Wakamoogolplex, **Failed to parse (Conversion error. Server ("https://services.fandom.com/mathoid-facade/") reported: "Cannot get mml. HTTP 404 Not Found"): {\displaystyle h\rightarrow \underbrace {10\rightarrow 10\cdots \rightarrow 10} \_{\text{wakamoogol 10's}}(100)}**
, where h is hyperlicious function
* Troogolplex, {10,10,10,{10,10,10,100}}
* Tris-Terribocaior Tris-Terribocal, Forcal1,1,2(2)
* Chainolplex, s(3,3,2,1,2)
* Grand grand throogol, E100###100#3
* Troogolduplex, {10,10,10,{10,10,10,{10,10,10,100}}}
* Chainolbiplex, s(3,4,2,1,2)
* Chainoltriplex, s(3,5,2,1,2)
* Chainolquadriplex, s(3,6,2,1,2)
* Fish number 1, **Failed to parse (Conversion error. Server ("https://services.fandom.com/mathoid-facade/") reported: "Cannot get mml. HTTP 404 Not Found"): {\displaystyle \approx f\_{\omega ^{2}+1}(63)}**
* Ungreps, |1|1(76)
* Meg-Googol, 10[1,0,1]100
* **Thrangol** / granhoolgol, E100###100#100 = E100###100##2
* Rexuul, #{1}\*((10))\*100
* Tris-Terribuporcal, Forcal2,1,2(1)
* Chainbol, s(3,2,3,1,2)
* Mouffles Monster, cgG(G)
* BOX\_M̃,

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{\displaystyle \approx f\_{\omega^2+1}(f\_{\omega^2}(f\_{\omega+2}(f\_{\omega+1}(64))))}
* Grand thrangol, E100###100#100#2
* Chainbolplex, s(3,3,3,1,2)
* Deugreps, |1|2(76)
* Meg-Doogol, 10[2,0,1]100
* Threagol / greahoolgol, E100###100##3
* Tris-Terribegorcal, Forcal3,1,2(1)
* Chaintrol, s(3,2,4,1,2)
* Grand threagol, E100###100#100#100#2
* Chaintrolplex, s(3,3,4,1,2)
* Troigreps, |1|3(76)
* Thrigangol / giganhoolgol, E100###100##4
* Tris-Terribypercal, Forcal4,1,2(1)
* Grand thrigangol, E100###100#100#100#100#2
* Throrgegol / gorgehoolgol, E100###100##5
* Grand throrgegol, E100###100#100#100#100#100#2
* Thrulgol / gulhoolgol, E100###100##6
* Grand thrulgol, E100###100#100#100#100#100#100#2
* Thraspgol, E100###100##7
* Grand thraspgol, E100###100#100#100#100#100#100#100#2
* Thrinorgol, E100###100##8
* Grand thrinorgol, E100###100#100#100#100#100#100#100#100#2
* Thrarantuul, E100###100##9
* Grand thrarantuul, E100###100#100#100#100#100#100#100#100#100#2
* Throogondol, E100###100##10
* Bigreps, |2|0(76)
* **Thrugold** / goolhoolda, E100###100##100 = E100###100###2
* Meg-Kiloogol, 10[0,1,1]100
* Gooandol, 10[&1100]
* Astuulgold, #{1}^((10))\*100
* Tris-Terrible-Terribocal, Forcal1000000,1,2(1) = Forcal1,2,2(1)
* Chainprimol, s(3,2,2,2,2)
* Grand thrugold, E100###100##100#2
* Chainprimolplex, s(3,3,2,2,2)
* Meg-Kil-Googol, 10[1,1,1]100
* Thraatagold / graatahoolda, E100###100##100##2
* Chainpribol, s(3,2,3,2,2)
* Chainpribolplex, s(3,3,3,2,2)
* Threegold / greegahoolda, E100###100##100##3
* Thrinningold / grinninhoolda, E100###100##100##4
* Throlaagold / golaahoolda, E100###100##100##5
* Thruelohgold / gruelohhoolda, E100###100##100##6
* Thraspgold, E100###100##100##7
* Thrinorgold, E100###100##100##8
* Thrargantuuld, E100###100##100##9
* Throogondold, E100###100##100##10
* Trigreps, |3|0(76)
* Thrugolthra / goolhoolthra, E100###100###3
* Meg-Dukiloogol, 10[0,2,1]100
* Tris-Terrible-Tribocal, Forcal1,3,2(1)
* Chainduprimol, s(3,2,2,3,2)
* Chainduprimolplex, s(3,3,2,3,2)
* Thraatagolthra, E100###100##100##100#100
* Chaindupribol, s(3,2,3,3,2)
* Chaindupribolplex, s(3,3,3,3,2)
* Conway's Su-tritri, 3 →3 3
* Grand tetratri, {3,3,3,3,2}
* Throogondolthra, E100###100##100##100##10
* Thrugoltesla / goolhooltesla, E100###100###4
* Meg-Trukiloogol, 10[0,3,1]100
* Tris-Terrible-Tetribocal, Forcal1,4,2(1)
* Chaintruprimol, s(3,2,2,4,2)
* Chaintruprimolplex, s(3,3,2,4,2)
* Chaintrupribol, s(3,2,3,4,2)
* Chaintrupribolplex, s(3,3,3,4,2)
* Thrugolpeta / goolhoolpeta, E100###100###5
* Thrugolhexa / goolhoolhexa, E100###100###6
* Thrugolhepta, E100###100###7
* Thrugolocta, E100###100###8
* Thrugolenna, E100###100###9
* Thrugoldeka, E100###100###10
* Thrugolicosa, E100###100###20
* Thrugoltrianta, E100###100###30
* Thrugolsaranta, E100###100###40
* Thrugolpeninta, E100###100###50
* Inspire, 10[&1&1]
* Grepss, 310(76)
* **Throotrigol** / tristo-throogol / tris-throogol / gootroolgol, E100###100###100 = E100####3
* Duriga, s(10,100,1,1,3)
* **Triggol** / Dumegoogol, {10,10,10,100,2} = 10[0,0,2]100
* Tris-Tribocal, Forcal1,1000000,2(1) = Forcal1,1,3(1)

**Failed to parse (Conversion error. Server ("https://services.fandom.com/mathoid-facade/") reported: "Cannot get mml. HTTP 404 Not Found"): {\displaystyle f\_{\omega ^{2}2}(f\_{3}(10))}**
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## {\displaystyle f\_{\omega ^{2}3}(f\_{3}(10))}

* Duchainol, s(3,2,2,1,3)
* Grand throotrigol, E100###100###100#2
* Triggolplex, {10,10,10,{10,10,10,100,2},2}
* Tris-Tribocaior Tris-Tribocal, Forcal1,1,3(2)
* Duchainolplex, s(3,3,2,1,3)
* Dumeg-Googol, 10[1,0,2]100
* Thrantrigol / tristo-thrangol / tris-thrangol, E100###100###100##2
* Duchainbol, s(3,2,3,1,3)
* Duchainbolplex, s(3,3,3,1,3)
* Threatrigol / tristo-threagol / tris-threagol, E100###100###100##3
* Thrigantrigol, E100###100###100##4
* Thrutrigold / tristo-thrugold / tris-thrugold, E100###100###100##100 = E100###100###100###2
* Dumeg-Kiloogol, 10[0,1,2]100
* Tris-Trible-Terribocal, Forcal1,2,3(1)
* Duchainprimol, s(3,2,2,2,3)
* Duchainprimolplex, s(3,3,2,2,3)
* Thraatatrigold / tristo-thraatagold / tris-thraatagold, E100###100###100##100##2
* Duchainpribol, s(3,2,3,2,3)
* Duchainpribolplex, s(3,3,3,2,3)
* Threetrigold / tristo-threegold / tris-threegold, E100###100###100##100##3
* Thrinnintrigold, E100###100###100##100##4
* Thrutrigolthra / tristo-thrugolthra / tris-thrugolthra, E100###100###100##100##100 = E100###100###100###3
* Dumeg-Dukiloogol, 10[0,2,2]100
* Tris-Trible-Tribocal, Forcal1,3,3(1)
* Duchainduprimol, s(3,2,2,3,3)
* Duchainduprimolplex, s(3,3,2,3,3)
* Thraatatrigolthra / tristo-thraatagolthra / tris-thraatagolthra, E100###100###100##100##100##2
* Duchaindupribol, s(3,2,3,3,3)
* Pententri / duchaindupribolplex, s(3,3,3,3,3)
* Pentatri, {3,3,3,3,3}
* Thrutrigoltesla / tristo-thrugoltesla / tris-thrugoltesla, E100###100###100###4
* Tris-Trible-Tetribocal, Forcal1,4,3(1)
* Conway's Su-tritet, 4 →4 4
* Thrutrigolpeta / tristo-thrugolpeta / tris-thrugolpeta, E100###100###100###5
* Thrutrigolhexa / tristo-thrugolhexa / tris-thrugolhexa, E100###100###100###6
* Admire, 10[&1&1&1]
* Grepsss, 410(76)
* **Throotergol** / teristo-throogol / tessi-throogol, E100###100###100###100 = E100####4
* **Traggol** / Trumegoogol, {10,10,10,100,3} = 10[0,0,3]100
* Tri-astuul, #{1}{1}{1}((10))\*100
* Tris-Tetribocal, Forcal1,1,4(1)

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{\displaystyle f\_{\omega ^{2}3}(f\_{3}(10))}

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## {\displaystyle f\_{\omega^{3}}(f\_{3}(10))}

* Truchainol, s(3,2,2,1,4)
* Traggolplex, {10,10,10,{10,10,10,100,3},3}
* Truchainolplex, s(3,3,2,1,4)
* Thrantergol / teristo-thrangol / tessi-thrangol, E100###100###100###100##2
* Truchainbol, s(3,2,3,1,4)
* Truchainbolplex, s(3,3,3,1,4)
* Threatergol / teristo-threagol / tessi-threagol, E100###100###100###100##3
* Thrutergold / teristo-thrugold / tessi-thrugold, E100###100###100###100##100
* Trumeg-Kiloogol, 10[0,1,3]100
* Truchainprimol, s(3,2,2,2,4)
* Truchainprimolplex, s(3,3,2,2,4)
* Thraatatergold / teristo-thraatagold / tessi-thraatagold, E100###100###100###100##100##2
* Truchainpribol, s(3,2,3,2,4)
* Truchainpribolplex, s(3,3,3,2,4)
* Thrutergolthra / teristo-thrugolthra / tessi-thrugolthra, E100###100###100###100###3
* Truchainduprimol, s(3,2,2,3,4)
* Truchainduprimolplex, s(3,3,2,3,4)
* Truchaindupribol, s(3,2,3,3,4)
* Truchaindupribolplex, s(3,3,3,3,4)
* Hayden's Pentatri, 3(3)(3)(3)3
* Thrutergoltesla / teristo-thrugoltesla / tessi-thrugoltesla, E100###100###100###100###4
* Pententet, s(4,4,4,4,4)
* Thrutergolpeta / teristo-thrugolpeta / tessi-thrugolpeta, E100###100###100###100###5
* Conway's Su-tripent, 5 →5 5
* Thrutergolhexa / teristo-thrugolhexa / tessi-thrugolhexa, E100###100###100###100###6
* Desire, 10[&1&1&1&1]
* Grepssss, 510(76)
* Throopetol / pesto-throogol / penri-throogol, E100###100###100###100###100 = E100####5
* Treegol / Tetrumegoogol, {10,10,10,100,4} = 10[0,0,4]100
* Tris-Pentibocal, Forcal1,1,5(1)
* Treegolplex, {10,10,10,{10,10,10,100,4},4}
* Thranpetol / pesto-thrangol / penri-thrangol, E100###100###100###100###100##2
* Thrupetold / pesto-thrugold / penri-thrugold, E100###100###100###100###100##100
* Thrupetolthra / pesto-thrugolthra / penri-thrugolthra, E100###100###100###100###100###3
* Pentenpent, s(5,5,5,5,5)
* Superpent, {5,5,5,5,5}
* Conway's Su-trihex, 6 →6 6
* Grep-5-s, 610(76)
* Throohexol / existo-throogol / exi-throogol, E100###100###100###100###100###100 = E100####6
* Trigol / Pentumegoogol, {10,10,10,100,5} = 10[0,0,5]100
* Tris-Hexibocal, Forcal1,1,6(1)
* Trigolplex, {10,10,10,{10,10,10,100,5},5}
* Thranhexol / existo-thrangol / exi-thrangol, E100###100###100###100###100###100##2
* Thruhexold / existo-thrugold / exi-thrugold, E100###100###100###100###100###100##100
* Thruhexolthra / existo-thrugolthra / exi-thrugolthra, E100###100###100###100###100###100###3
* Pentenhex, s(6,6,6,6,6)
* Hexarplex, **Failed to parse (Conversion error. Server ("https://services.fandom.com/mathoid-facade/") reported: "Cannot get mml. HTTP 404 Not Found"): {\displaystyle Q\_{1,0,0,0}(6)}**
* Hayden's Pentapent, 5(5)(5)(5)5
* Conway's Su-trisept, 7 →7 7
* Throoheptgol / episto-throogol / epti-throogol, E100####7
* Troggol, {10,10,10,100,6}
* Troggolplex, {10,10,10,{10,10,10,100,6},6}
* Conway's Su-trioct, 8 →8 8
* Throogogdol / ogisto-throogol / okti-throogol, E100####8
* Tragol, {10,10,10,100,7}
* Tragolplex, {10,10,10,{10,10,10,100,7},7}
* Conway's Su-triennet, 9 →9 9
* Throogentol / giyottatogoogol, E100####9
* Throodekol / ginovatogoogol, E100####10
* **Pentadecal**, {10,10,10,10,10}
* Trexom,

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{\displaystyle f\_{\omega ^{3}}(10)}
* Conway's Su-tridecal, 10 →10 10
* Throoendekol / gitenatogoogol, E100####11
* Throododekol / gitenakilotogoogol, E100####12
* Throotriadekol, E100####13
* Throotetradekol, E100####14
* Throopentadekol, E100####15
* Throogicosol, E100####20
* Throotriantol, E100####30
* Throosarantol, E100####40
* Throopenintol, E100####50
* Throogexintol, E100####60
* Throogebdomintol, E100####70
* Throogogdontol, E100####80
* Throogenenintol, E100####90
* Fish number 2,

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{\displaystyle \approx f\_{\omega ^{3}}(63)}
* Aya, 1[1]0(76)
* **Tetroogol** / tetroogorth / teroogol, E100####100
* **Quadroogol** / Gigoogol, {10,10,10,10,100} = 10[0,0,0,1]100
* Cube-hyperon, 100{X3}100
* Galaxiol, #{2}((10))\*100
* Juice-infused HAN, 17(186)(44)(416)592
* Juice-infused SAN, s(17, 592, 186, 44, 416)
* Juice-infused BEAF, {17, 592, 186, 44, 416}
* Teris-Terribocal, Forcal1,1,1000000(1) = Forcal1,1,1,2(1)

**Larger numbers**