All Numbers
Updated UTC 2025/9/23
Updated UTC 2025/9/23
The numbers are not necessarily in size order, though they generally are.
((7*10^(10^(10^27385)))!)! = Whiteboard Number. At school a random 7 was drawn on a whiteboard. I turned it into 7*10^(10^(10^27385)), then later added the factorials.
(Whiteboard Number)Λ (bouncing factorial) = Bigger Whiteboard Number
17^^6 = Faramir (named by a friend of mine)
(17^^6)! = M&M (named by a friend of mine)
&|||,W&a:%(%..(a)..%(%a)..(a)..),W%a:a~~..(a)..~~a using SoCC = Soccotri
&||| = %%%||| = %%(|||~~~|||) = %%(|||||||||||||||||||||||||||)
%(27↑↑..(25)..↑↑27) = (27↑↑..(25)..↑↑27)↑↑..(27↑↑..(25)..↑↑27)..↑↑(27↑↑..(25)..↑↑27)
|||||||~^(|||||||~^(...|||||||~^(|||||||)|||||||...)|||||||)||||||| with |||||||~~~~~~~||||||| nestings = Heptasocc
F||||,WFa:GG..(G(a~|°))..GGa,WGa:HH..(H(a~|°))..HHa,WHa:a~^(a~^(a)a)a = Megasocc
3&10,Wa&b:CMb(1:%%%a,>1:%%..(a&(b-1))..%%a),W%a:$$..($a)..$$a,W$a:##..(#a)..##a,W#a:a~^(a~^(a~^(a)a)a)a = Gigasocc
[3,10],W[a,b]:CMb:(1:{a,a,a},>1:[[..(a)..[[a,b~|°],b~|°]..(a)..,b~|°],b~|°]),W{a,b,c}:CMb(1:CMc(1:###..(#a)..###a,>1:{a,{a,..(a)..{a,{a,a,c~|°},c~|°}..(a)..,c~|°},c~|°}),>1:{{..(a)..{{a,b~|°,c},b~|°,c}..(a)..,b~|°,c},b~|°,c}),W#a:a~^(a~^(..(a~^(a)a)..a~^(a~^(a)a)a..(a~^(a)a)..)a)a = Terasocc
2#2! = Macaron
3#2! = Macadon
4#2! = Macatron
5#2! = Macagon
6#2! = Macamon
7#2! = Macajon
8#2! = Macahon
9#2! = Macalon
10#2! = Macason
2#3! = Macacaron
46&2 in BEAF = Forty-six & 2
Reference to the TOOL song of the same name
<, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987> = Lateral Bricks
had to change definition due to 2 not being allowed ti lead a brick course.
(Lateral Bricks)⎔(Forty-six & 2) = The Pot
<100,100>{2,3} = Gwingolia
<100,100>{3,3} = Granglong
<Gwingolia,Gwingolia,Gwingolia>
2^(2^(2^(2^(3^(8^9))))) = Magnetic Whiteboard Number
My physics teacher has a whiteboard with a bunch of magnetic numbers on it. I took some and tried to make a random big number.
2^(2^(2^(2^(3^(8^(9^16)))))) = Bigger Magnetic Whiteboard Number
The most recent step of the Miter Sequence = Miter's Second Number
6^13 = Hexatrida
6^16 = Hexahexada
6^19 = Hexanonda
6^22 = Hexaduvin
6^25 = Hexapenvin
6^28 = Hexanoctovin
(Tree[G(G(G(Googol↑↑↑↑Googolplex)))])! = Newbie's Salad
To make fun of new googologists that use the first few terms they hear and think it's "a groundbreaking, novel, new biggest number"
ESoCC(Terasocc) = Esokapito
N-FOLD↑100(10) = Feegol
N-FOLD↑↑2(3) = Megathrold
N-FOLD↑(N-FOLD↑2(3))(3) = N-FOLD↑(N-FOLD(N-fOLD(3)))(3) = N-FOLD↑(N-FOLD(333))(3)
N-FOLD↑↑3(3) = Melegathrold
N-FOLD↑(N-FOLD↑(N-FOLD↑3(3))(3))(3)
N-FOLD↑↑4(3) = Memegathrold
N-FOLD↑↑5(3) = Megegathrold
N-FOLD↑↑100(10) = Feegolplex
N-FOLD↑↑↑2(3) = Gigathrold
N-FOLD↑↑(N-FOLD↑↑2(3))(3) = N-FOLD↑↑Megathrold(3) = N-FOLD↑(N-FOLD↑(...N-FOLD↑(N-FOLD↑(Megathrold)(3))(3)...)(3))(3) with Megathrold nestings
N-FOLD↑↑↑↑2(3) = Terathrold
RIF(N-FOLD, 2, 3) = Hyperthrold
RIF(N-FOLD, 3, 3) = Megyperthrold
RIF(N-FOLD, 4, 3) = Gigyperthrold
RIF(N-FOLD, 5, 3) = Teryperthrold
RIF(N-FOLD, RIF(N-FOLD, 3, 3), 3) = Hyperyperthrold
GF↑3(3) = Kilofactothree
GF↑5(3) = Kilentathree
GF↑10(3) = Kilekathree
GF↑↑3(3) = Megafactothree
GF↑(GF↑(GF↑3(3))(3))(3) = GF↑(GF↑(GF(GF(GF(3))))(3))(3) = GF↑(GF↑(GF(GF(720)))(3))(3)
G↑↑↑3(64) = Graham Cracker
G↑↑↑↑3(64) = Digribrang
RIF(G, 64, 64) = Ultimate Graham
TREE↑↑10[3] = Miniter Forest
TREE↑↑↑3[3] = Megiter Forest
TREE↑↑↑↑3[3] = Gigiter Forest
Fx↑↑↑3(10) = Fixest Trident
RIF(TREE, 200, 3) = The Black Forest
RIF(Fx, 2, 3) = Fixestier Ditrident
Fx↑↑...↑↑3(3) with Fx↑↑↑(3) (Fixest Trident) ↑'s
RIF(BB, 10, 3) = Wild Woodchuck
RIF(Rayo, 100, 10) = Recurayo
GOSS↑3(20) = Duzy Goss
GOSS↑↑3(20) = Truzy Goss
GOSS↑↑5(10) = Huzy Goss
GOSS↑↑↑3(20) = Muzy Goss
RIF(GOSS, 2, 3) = Riffeross
RIF(GOSS, 3, 3) = Gifeloss
RIF↑↑3(GOSS)
RIF↑(RIF↑(RIF↑3(GOSS))(GOSS)(GOSS)
RIF(RIF, GOSS, 2, 3) = Riflestrel
RIF(RIF, N-FOLD, 3, 3) = Rifoldel
N-FOLD↑↑↑2(Duthon) = Folthon
10Λ = Boundek
11Λ = Unboundek
12Λ = Diboundec
27Λ = The Big Twenty-Seven
100Λ = Hectiboundo
1000Λ = Milliboundo
1000000Λ = Megaboundo
Rayo↑10(10^100) = Rayiter
Rayo↑9(Rayo's Number)
Rayo↑(10^100)(10^100) = Rayogiter
ESoCC↑100(10) = Esnogol
RIF(ESoCC, 3, 10) = Eresogol
RIF(ESoCC, 10, 10) = Eranosogol
RIF([ω]ESoCC, 100, 10) = Eregasogol
RIF([ω+1]ESoCC, 100, 10) = Meregasogol
RIF([ω+1]ESoCC, Meregasogol, 10) = Meregasogolplex
RIF(RIF, [ω2]ESoCC, Folthon, Megafactothree) = Riffelosogol
Where F(n) = n!:
F↑↑2(3) = Reitadorial
= F↑(F↑2(3))(3)
= F↑(F(F(3)))(3)
= F↑(F(6))(3)
= F↑720(3)
~ 10↑↑717
F↑↑3(3) = Reitatrorial
F↑(F↑(F↑3(3))(3))(3)
F↑↑↑2(3) = Rebudatorial
= F↑↑(F↑↑2(3))(3)
= F↑↑(Reitadorial)(3)
RIF(F, 2, 3) = Rifentinar
F↑↑...↑↑3(3) with RIF(F, 1, 3) (or F↑↑↑3(3)) arrows
RIF(F, 3, 3) = Rifometer
F↑↑...↑↑3(3) with Rifentinar arrows
Using UraniumInTheCranium's "Huh Function":
5? = Pentuh
5 * 6 * 7 *...118 * 119 * 120
6? = Hexuh
6 * 7 * 8 * ... 718 * 719 * 720
5?? = Pentuhuh
PRN↑10(3) = Proundo
PRN↑↑10(3) = Prounduno
4!↑↑2 = Facterqo
5!↑↑2 = Facterqin
6!↑↑2 = Facterex
3!↑↑3 = Factermitri
4!↑↑3 = Factermiqo
5!↑↑3 = Factermiqin
6!↑↑3 = Factermex
3!↑↑↑2 = Factergitri
4!↑↑↑2 = Factergiqo
5!↑↑↑2 = Factergiqin
6!↑↑↑2 = Factergex
3!↑↑↑3 = Facteril
3!↑↑↑↑3 = Factermil
PTO(10) = Piteck
3*1*4*1*5*9*2*6*5*3*5 = 486000
PTO(20) = Pitogin
1,269,789,696,000
PTO(30) = Pitotrig
1,105,875,083,722,752,000
PETO(3) = Petrope
3^(3^4) ~ 4.43426488*10^38
PETO(4) = Petorque
3^(3^(4^4))
PETO(5) = Petenp
3^(3^(4^(4^5)))
PETO(6) = Petexon
3^(3^(4^(4^(5^9))))
PETO(7) = Petepton
3^(3^(4^(4^(5^(9^2)))))
3↑^^^(3)3 = Megacur
RIF(↑, 1, 3)
3↑^^(3↑^^(3↑^^(3)3)3)3
4↑^^^^(4)4 = Gigacur
RIF(↑, 1, 4)
4↑^^^(4↑^^^(4↑^^^(4↑^^^(4)4)4)4)4
RIF(↑, 2, 3)
3↑^^(RIF(↑, 1, 3))(3)3
TYULG(9) = Tying Nine
TYULG(10) = Tying Ten
TYULG↑2(9) = Tying Nine Twice
TYULG↑2(10) = Tying Ten Twice
TYULG↑3(9) = Tying Nine Thrice
TYULG↑3(10) = Tying Ten Thrice
[1]TG(9) = Tying Nine Novence
[1]TG(10) = Tying Ten Tonce
[2]TG(9) = Twice Tying Nine
[2]TG(10) = Twice Tying Ten
#TG(9) = Omega Tying Nine
Spiral↑700(700) = Miter-700
(17^6)! = First Steps
((First Steps!)!)! = I've seen better
17{11}(I've seen better) = Okay, now we're getting somewhere
<[Okay, now we're getting somewhere]> (in brick notation) = Tough as nails
(Tough as nails)ѦѦ(11ѦѦ100) = Yus!
~(Yus!#3)~ (in Grilliard) = Grill his ahh
ESoCC(ESoCC(Grill his ahh)) = Soccampito
[Soccampito]↤[5]↤[4]↤[3]↤[2]↤[1]↤[100] = This Matrix Array is quite Mega
[0, 0]↤[This matrix array is quite Mega] = Another MAM number? In this economy?
[Another MAM number? In this economy?]↤↤[17] = I guess this is the new meta
~(I guess this is the new meta#8000000000)~ = Oh, nevermind
Goss(Oh, nevermind) = Wow, haven't seen Goss in a while
MGoss(Wow, haven't seen Goss in a while) = MGoss too?
GARTH(MGoss too?) = We don't talk about Charlie...
Quorvask(We don't talk about Charlie...) = Quorvask, more like... uh... dumb
(Quorvask, more like... uh... dumb)#3! (using Macro-Factorial notation) = It's really not much bigger
PDF(It's really not much bigger) = Neither is this
[Neither is this]↤[100]↤↤↤↤↤[10][100] = That's fine
ESoCC(That's fine) = Some big number
[1]ESoCC(Some big number) = I'm assuming a mini-sequence...
[100]ESoCC(I'm assuming a mini-sequence...) = Yep...
[Yep...]ESoCC(Yep...) = Oh well
f(Oh well) (f() function as defined for Megolhectoplex) = Still using SoCC functions?
v(10, Still using SoCC functions?) (v() function as defined for Vegol) = Hurry up
vv(10, Hurry up) (vv() function as defined for Vegolduplex) = Almost there
(Almost there)! = Really? All that just for a factorial?
(Round up) PSF(Really? All that just for a factorial?) = Hey... shouldn't it be Pi Scale Function?
(Hey... shouldn't it be Pi Scale Function?)↑↑↑↑↑10 = This is (not) bad
ESoCC(This is (not) bad) = Or is it?
[3]↤↤[Or is it?] = Finally, a change
[100]↤↤[Finally, a change] = MAMAMAMAM
[MAMAMAMAM]↤↤↤[3] = Well that is quite strange
~((Well that is quite strange)#2)~ (Grilliard) = Grilling burgers
~((Grilling burgers)#100)~ = Still cookin'
(Still cookin')↑↑2 = Yep, there it is. Tetration. And barely so.
◭(Yep, there it is. Tetration. And barely so.), 1, 1◮ (Using THOM notation) = Finally, some use of THOM
(Finally, some use of THOM)⎔1 = THOM is pretty cool
(THOM is pretty cool)⎔2 = The way it utilizes ordinals
(The way it utilizes ordinals)⎔100 = Is pretty neat
(Is pretty neat)⎔ω = And so powerful
(And so powerful)⎔ω+1 = At least, more than the other functions here
(At least, more than the other functions here)⎔ω2 = Still using THOM, huh?
(Still using THOM, huh?)⎔ω^2 = That's alright, I spent a lot of time on it
(That's alright, I spent a lot of time on it)⎔ω⎔2 = You can apply the function to ω
(You can apply the function to ω)⎔⎔ω = And add ⎔'s
(And add ⎔'s)[⎔]1 = Oh yeah, and the brackets too
(Oh yeah, and the brackets too)[⎔]3 = Oh so cool
(Oh so cool)[⎔]ω = Bigger than before
(Bigger than before)[⎔]ω[⎔]ω = Wow, that's large
(Wow, that's large)⎔3 = That's still larger, but not by too much.
(That's still larger, but not by too much.)↑↑↑100 = Pentation? Really? Pfft. Loser.
[1]ESoCC(Pentation? Really? Pfft. Loser.) = There we have it
(There we have it)⎔ω = Running out of stuff here...
(Running out of stuff here...)⎔ω+1 = This number is getting quite large
(This number is getting quite large)⎔ω+2 = But how large?
(But how large?)⎔ω+3 = Well, it's hard to say
(Well, it's hard to say)⎔ω+4 = Larger than googolplex?
(Larger than googolplex?)⎔ω+5 = Not even a competition.
(Not even a competition)⎔ω+6 = Larger than Graham's number?
(Larger than Graham's number?)⎔ω+7 = Definitely.
(Definitely.)⎔ω2 = Larger than TREE(3)?
(Larger than TREE(3)?)⎔ω2+1 = I honestly don't know.
(I honestly don't know.)⎔ω^^ω = ESoCC is used pretty heavily,
(ESoCC is used pretty heavily,)⎔◭ω, 1, 1◮ = And it is a very strong function.
(And it is a very strong function.)⎔◭ω, 1, 1, 1◮ = But just how strong?
[2]ESoCC(But just how strong?) = Well, it's impossible to tell
[3]ESoCC(Well, it's impossible to tell) = It is uncomputable
[ω+1]ESoCC(It is uncomputable) = And it can use ω
[ω2]ESoCC(And it can use ω) = Which naturally makes it powerful
[ω^9]ESoCC(Which naturally makes it powerful) = Alright, I'll stop glazing
ULTM(Alright, I'll stop glazing) = The point is,
ULTM((The point is,), 1) = This number is large.
ULTM((This number is large.), 1, 1) = But in the way it achieves it,
ULTM((But in the way it achieves it,), 1, 1, 1) = Means there is room for improvement.
ULTM([Means there is room for improvement.]) = It's just a salad number
ULTM(ULTM([It's just a salad number])) = There will always be a bigger number.
ULTM(ULTM([There will always be a bigger number.]), 1, 1) = But that doesn't mean
[1]ESoCC(But that doesn't mean) = It can't be fun.
⇂It can't be fun.◬[ω]⇃ = Miter Hierarchy!
⇂Miter Hierarchy!◬[[ω]]⇃ = I thought it was weird that...
⇂I thought it was werid that...◬M⇃ = ...Epsilon nought is only ω↑↑ω
⇂...Epsilon nought is only ω↑↑ω◬M+1⇃ = So I made my own Hierarchy
⇂So I made my own Hierarchy◬M*3⇃ = It's nothing special
⇂It's nothing special◬[M]⇃ = Each set of [] represents a new ordinal when on ω
⇂Each set of [] represents a new ordinal when on ω◬[[M]]⇃ = Are these even number names at this point?
⇂Are these even number names at this point?◬<M>⇃ = I'm kinda just talking
GCS(I'm kinda just talking) = Ah, GCS!
GCS([Ah, GCS!]) = Pretty cool function
GCS({Pretty cool function}) = Well, eh... kinda
ESoCC(Well, eh... kinda) = I love ESoCC
(I love ESoCC)⎔ω↑↑↑8 = And THOM of course
(And THOM of course)⎔ω⎔ω+1 = So versatile
GF(So versatile) = Giga Factorial, eh?
GF(GF(Giga Factorial, eh?)) = It's neat, I guess
(It's neat, I guess)F = But Fibanorial is cooler
(But Fibanorial is cooler)F3T = So long as you don't over-do it
(So long as you don't over-do it)⤳[0] = Wavy arrow is nice
(Wavy arrow is nice)⤳[100] = Still going?
(Still going?)ѦѦ3↑↑↑3 = Yus. Oh, Yus.
(Yus. Oh, Yus.)Ѫ99 = My last innocent attempt.
⟬(My last innocent attempt.)|100⟭ = Not as fun after that
RIF(ESoCC, [2]ESoCC(100), (Not as fun after that)) = Update:
RIF(ESoCC, [3]ESoCC(100), Update:) = Blocked.
[10]ESoCC(Blocked.) = Mistake
RIF(RIF, N-FOLD, 100, (Mistake)) = Cost.
N-FOLD(Cost.) = I even fixed it.
N-FOLD(I even fixed it.) = Not to dwell.
RIF(ESoCC, (Not to dwell.), 10^100) = Iteration...Notation?
GOSS↑↑↑10(Iteration...Notation?) = Pretty cool, if I do say so myself
N-FOLD↑↑↑↑↑10(Pretty cool, if I do say so myself) = and I do say so
(and I do say so)Λ1 = Exponential Bounce
(Exponential Bounce)Λ2 = Tetrational Bounce
(Tetrational Bounce)Λ3 = Pentational Bounce
(Pentational Bounce)Λ[1] = And so on, Bounce
(And so on, Bounce)Λ[2] = But why?
(But why?)Λ[3] = All these big numbers.
(All these big numbers.)Λ[4] = For what?
◭For what?, 1, 1◮ = It's fun, I guess
"It's fun, I guess" = Quote Note
""Quote Note"" = Quornotor
"[Quornotor]" = Quobrackor
"[[Quobrackor]]" = Normal Name
"{Normal Name}" = Crisp Bracks
(Crips Bracks){◈}ω+1 = Thombraham
Thombraham{◈}ω+10 = Thominogam
Д(Thominogam, 4, 3) = Stemoxtend
Д(Stemoxtend, 10, 3) = Destomexton
Д(Destomexton, 101, 100) = Mestogeston
Д(Mestogeston) = Gigastostonan
Д(Д(Gigastostonan)) = Cool Name
Д(Д(Д(Cool Name))) = Interesting Name
Д↑10(Interesting Name) = Recursed STM
Д↑↑2(Recursed STM) = Hecto Recursed Number
Д↑↑3(Hecto Recursed Number) = Bihecto Recursed Number
Д↑↑↑2(Bihectio Recursed Number) = Kilo Recursed Number
Д↑↑↑↑2(Kilo Recursed Number) = Mega Recursed Number
Д↑↑↑↑↑2(Mega Recursed Number) = Giga Recursed Number
Д↑↑↑↑↑↑2(Giga Recursed Number) = Tera Recursed Number
RIF(Д, 100, Tera Recursed Number) = Hyper Recursed Number
RIF(Д, Hyper Recursed Number, 100) = Super Hyper Recursed Number
(Super Hyper Recursed Number)Λ[1] = Schmeleven
RIF(RIF, Д, Schmeleven, Schmeleven) = Bass Riff
RIF↑(Bass Riff)(Λ[1]) = Elegituriff
"Elegituriff" = Megifote
""Megifote"" = Gigifote
"""Gigifote""" = Terafote
"[Terafote]" = Hyperfote
"["[Hyperfote]"]" = Hypehyperfote
"["["[Hypehyperfote]"]"]" = Hypehypehyperfote
"[[Hypehypehyperfote]]" = Superfote
"[["[Superfote]"]]" = Hypesuperfote
"[["[[Hypesuperfote]]"]]" = Supesuperfote
"{Supesuperfote}" = Ultifote
Д(Ultifote) = Stimoned
Д↑2(Stimoned) = Dubastimoned
RIF(Д, 2, Dubastimoned) = Ultistimoned
Д↑↑2(Ultistimoned) = Rirearchy
Д↑↑↑100(Rirearchy) = Hastiness
PDF↑10(Hastiness) = Power of Digits
PDF↑↑10(Power of Digits) = Have the Power
PDF↑↑↑10(Have the Power) = You do
RIF(PDF, 1, You do) = Rifwise
RIF(PDF, 2, Rifwise) = Basewise
RIF(PDF, 3, Basewise) = Megawise
RIF(PDF, Megawise, Megawise) = Intrawhose
GCS(Intrawhose) = Subtractor
GCS↑10(Subtractor) = Gigactorfun
GCS↑↑Gigactorfun(12) = Repetition Mission
RIF(GCS, 100, Repetition Mission) = Geowhose
[1]ESoCC(Geowhose) = Telethose
[ω]ESoCC(Telethose) = Terethose
[ω⎔1]ESoCC(Telethose) = Celethose
N-FOLD(Celethose) = Alas!
N-FOLD↑↑3(Alas!) = Return
N-FOLD↑↑↑3(Return) = Feels good
ESoCC(Feels good) = Back on Track
(Updated February 3rd 2026)
To be continued
Temperatum
= The current average temperature of the surface of earth in Celsius to the power of the current average temperature of the surface of earth in Fahrenheit
Timmesmitte
Inspired by Lynz
= Starting on January 1st 1900 and with the number 1, triple the number every new day.
This number is currently (as of October 28th 2025) equal to 3^45,956
Timmegon
= Starting on January 1st 1900 and with the number 2, square the number every second.
This number is currently approximately 2^(2^4,000,000,000)
Timmebigge
= Starting on January 1st 1900 and with the number 3↑↑↑↑3, every planck time create 3↑↑...↑↑3 with the previous number many arrows. This number is currently approximately equal to G(7.36×10^52) using the function used to define Graham's number.
Curearte
= Current calendar year tetrated to 3
Popuham
= For every living person on earth, apply Graham's function to a 3.
Currently about G↑(8.2*10^9)(3) using Iteration Notation.
RAN(10^100) = Googol-sided Die Roll
The number is on average equal to 5*10^99
RAN(10^(10^100)) = Googolplex-sided Die Roll
RAD(4) = Radiet
This number can be 4+4 = 8, 4*4 = 16, 4^4 = 256, or 4↑↑4 = 4^(4^(4^4)) (Tritet Jr.)
RAD(5) = Radient
RAD(6) = Radiex
RAD(10) = Radienka
RAD(RAD(10)) = Mega Radienka
RUD(10) = Rudiment
[#]R(10) = Truledom
[100]R(10) = Randoogol
<333>/<333> = Tritron
<333>/<333>/<333> = Centra-Tritron
<[10]> = Dec-Little
<[100]> = Centiny
<[1,000,000]> = Mega-Little
<[<[<[<[<[5]>]>]>]>]> = Quin-Little
[100]<[<[<[<[<[100]>]>]>]>]> = Cent-Big
<[<[<[<[<[1000]>]>]>]>]>{1000, 1000} = Kilo-Big
<[<[<[<[<[1000]>]>]>]>]>{1000, 1000} /<[<[<[<[<[1000]>]>]>]>]>{1000, 1000} /<[<[<[<[<[1000]>]>]>]>]>{1000, 1000} = Kilo-Huge
<3> = 3-Little
<4> = 4-Little
<5> = 5-Little
<6> = 6-Little
<10> = 10-Little
<100> = 100-Little
<[3]> = 3-3-Little
<[4]> = 4-4-Little
<[5]> = 5-5-Little
<[10]> = 10-10-Little
<100, 100>{100, 100} = Gwaloogia
<[<[3]>]> = Trinestribri
<<[3]>, <[3]>, <[3]>...<[3]>, <[3]>> with <[3]> entries
<[<[100]>]> = Miter-10
<[3#3]> = Trihashbritri
<33, 33, 33> = <(<3, 3, 3>/<3, 3, 3>/<3, 3, 3>), (<3, 3, 3>/<3, 3, 3>/<3, 3, 3>), (<3, 3, 3>/<3, 3, 3>/<3, 3, 3>)>
<[33, 3#3]> = Tritretrihashbritri
<33, 33^3, 3(3^3)^3> = <33, 327, 319683>
<[52, 2#2, 2#2]> = Quinbichange
<<[52, 2#2]>, <[52, 4#2]>, <[52, 8#2]>, <[52, 16#2]>, <[52, 32#2]>>
<[33, 3#3, 3#3, 3#3]> = Treebrithree
<[44, 4#4, 4#4, 44#4]> = Tebriquad
<[33, 3#3, 3#3, 3#3, 3#3]> = Treemebrigithree
<333333, 4#333, 333, 333>/<333> = Kilo-Tritron
<333333, 4#333, 333>/<333, 333>/<333, 333> = Mega-Triton
<[100#100]> = Cent-Little
<[1,000,00010, 2#10]> = Mega-Medium
<[<[<[<[<[5#5]>]>]>]>]> = Quin-Medium
<[<[1,000,000,0001,000,000,000, 1,000,000,000#1,000,000,000]>]> = Giga-Huge
Course(4) = Tetrartet
Course(5) = Quiniq
Course(10) = Decaced
Course(100) = Centatnec
Course(1,000) = Kilolik
Course(1,000,000) = Megagem
Course(Course(100)) = Mega-cent
Course(3, 3) = Duotri
Course(3, 3, 3) = Triotri
Course(4, 4) = Duotetra
Course(4, 4, 4) = Tritetra
Course(Course(3, 3, 3)) = Mega-Triotri
Course(100, 100) = Duocent
Course(100, 100, 100) = Tricent
Course(5, 4, 3, 2, 1) = Prev-quin
Course(10, 9, 8, 7, 6, 5, 4, 3, 2, 1) = Prev-dec
Course(<10, 10, 10>, <10, 10, 10>, <10, 10, 10>) = Mega-dec
Course([10]) = Decadec
Course([100]) = Centacent
X(X(X(X(X(100))))) = Macro-Course
Quorvask(10) = Quordec
Quorvask(50) = Quorquindec
Quorvask(100) = Quorcent
Quorvask(1,000) = Quorkil
Quorvask100(10) = Quorcendec
Quorvask100(1,000,000) = Quorcenmega
Quorvask10↑↑↑↑10(100) = Megacendec
Quorvask10↑↑↑↑10100(100) = Megadoublecendec
Quorvask10↑↑↑↑↑↑10(100) = Gigacendec
QuorvaskG(64)(1,000) = Kilograham
QuorvaskTREE(3)(1,000,000) = Treemega
10![{10#10}] = Cudecabig
100![{100#1000}] = Yottamacent
10![{100}] = Kilogoogolfan
10![{{100}}] = Megagoogolfan
10![{{{100}}}] = Gigagoogolfan
10![1004] = Teragoogolfan
10![1005] = Petagoogolfan
10![1006] = Exagoogolfan
10![1007] = Zettagoogolfan
10![1008] = Yottagoogolfan
10![1009] = Ronnagoogolfan
10![10010] = Quetagoogolfan
10![100100] = Googolgoogolfan
10![10010![100]] = Googolplexifan
10![(10![100100])100] = Googolplexigoogolfan
10![@10] = 10![10, 10...10, 10] with 10![10] entries = Tenaten
10![@@10] = 10![@10, @10...@10, @10] with Tenaten entries = Tenbitaten
10![@@@10] = 10![@@10, @@10...@@10, @@10] with Tenbitaten entries = Tentritaten
10![10010] = Tenunaten
10![10![10![{{{100}}}]100]100] = Megatenutia
10![&&10] = 10![&1010] = 10![&(@@@@@@@@@@10)]] = 10![10![@@@@@@@@@@10]@@@@@@@@@@10] = Tenbinanden
10![&&&10] = 10![&&1010] = 10![10![10![10![@@@@@@@@@@10]@@@@@@@@@@10]@@@@@@@@@@10]@@@@@@@@@@10] = Tentrinanden
10![1010] = 10![&&&&&&&&&&10] = Tendenanden
10![100010] = Tenkilanden
10![Tenkilanden10] = 10![&&...&&10] with Tenkilanden &'s = Kilotenkilanden
GOSS(100) = Centigoss
GOSS(200) = Ducentigoss
GOSS(300) = Tricentigoss
GOSS(1,000,000) = Megagoss
GOSS(GOSS(1,000)) = Kilogosogoss
MGOSS(200) = Miter-200
[3]GOSS(200) = Mega-Miter-200
[4]GOSS(200) = Giga-Miter-200
[5]GOSS(200) = Tera-Miter-200
[200]GOSS(200) = Mega-Mega-Miter-200
[GOSS(200)]GOSS(200) = Giga-Mega-Miter
[[GOSS(200)]GOSS(200)]GOSS(200) = Tera-Mega-Miter
[4, 2]GOSS(4) = Gossul
[3, 3]GOSS(3) = Tregossul
[10, 3]GOSS(2) = Detredugossul
[10, 100]GOSS(10) = Gossulplex
N-FOLD↑3(3) = Entriplold
N-FOLD(N-FOLD(N-FOLD(3)))
N-FOLD(N-FOLD(333))
N-FOLD↑10(3) = Endetriplold
4Λ1 = Tebouncexpo
2^(3^(4^(3^(2^(3^2)))))
5Λ1 = Penbouncexpo
2^(3^(4^(5^(4^(3^(2^(3^(4^(3^(2^(3^2)))))))))))
10Λ1 = Debouncexp
2^(3^(4^(5^(6^(7^(8^(9^(10^(9^(8^(7^(6^(5^(4^(3^(2^(3^(4^(5^(6^(7^(8^(9^(8^(7^(6^(5^(4^(3^(2^(3^(4^(5^(6^(7^(8^(7^(6^(5^(4^(3^(2^(3^(4^(5^(6^(7^(6^(5^(4^(3^(2^(3^(4^(5^(6^(5^(4^(3^(2^(3^(4^(5^(4^(3^(2^(3^(4^(3^(2^(3^2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
3Λ2 = Tribounteto
2^^(3^^2)
2^^(3^3)
2^^27
4Λ2 = Tebounteto
2^^(3^^(4^^(3^^(2^^(3^^2)))))
10Λ2 = Debounteto
10Λ[1] = Boundento
3Λ[3] = Diswahnsig
10Λ[100] = Bouncing Betty
"9" = Quonon
"10" = Quoted
""3"" = Biquotrin
"[3]" = Trequotrin
"[4]" = Tetequodet
"[10]" = Dequoted
"[[3]]" = Bitrequotrin
"{3}" = Tretrequotrin
"{4}" = Tetequotet
"{"3"}" = Quertytu
"{"[3]"}" Quornity
"{"{3}"}" = Bitretrequotrin
"{"{"{3}"}"}" = Mequote
Д(3) = Pyramode
Д(4) = Tessarode
Д(5) = Pentamode
PN(100) = Pyracent
PN(1000) = Pyrakil
DPN(100) = Dupyracent
DPN(1000) = Dupyrakil
TPN(1000) = Trepyrakil
TPN(TPN(TPN(100))) = Tritrepyrakil
100PN(100) = Centrapyracent
1000PN(100) = Kilopyracent
1000PN(1000PN(1000PN(1000))) = Tetrakilopyrakil
FN(100) = Factacent
FN(1000) = Factakil
DFN(1000) = Dufactakil
3FN(1000) = Trefactakil
100FN(1000) = Centrafactakil
1000FN(1000) = Kilofactakil
1000FN(1000FN(1000FN(1000))) Tetrakilofactakil
Fx(100) = Fixacent
Fx(1000) = Fixakil
2Fx(1000) = Dufixakil
3Fx(1000) = Trefixakil
1000Fx(1000) = Kilofixakil
1000Fx(1000Fx(1000Fx(1,000,000))) = Trekilofixameg
TrekilofixamegFx(TrekilofixamegFx(TrekilofixamegFx(Trekilofixameg))) = Gigamegakilofix
100#! = Centamack
100#2! = Centadumack
100#3! = Centatremack
100#100! = Centacentamack
100#(100#!)! = Ducentamack
100#(100#(100#!)!)! = Trecentamack
1250#(Trecentamack)! = Duodehalcentamack
17*2! = Septadecadumack
17*3! = Septadecatremack
100*100! = Bicentaramack
150*120! = Quincentaraducentamack
17*(17*(17*17!)!)! = Tetreseptadecamack
2Ѧ3Ѧ4Ѧ5 = Incruss
2^^...^^3 with 4^5 (= 1024) arrows
3Ѧ4Ѧ5Ѧ6 = Incrussplus
3^^...^^4 with 5^6 (= 15,625) arrows
2Ѧ3Ѧ4Ѧ5Ѧ6 = Megincruss
2^^..^^3 with 4Ѧ5Ѧ6 (= 4^^^^^^5) arrows
3Ѧ4Ѧ5Ѧ6Ѧ7 Megincrussplus
3^^..^^4 with 5Ѧ6Ѧ7 (= 5^^^^^^^6) arrows
10Ѧ10Ѧ10Ѧ10 = Yussotet
10Ѧ10Ѧ10Ѧ10Ѧ10 = Yussoquin
10Ѧ10Ѧ10Ѧ10Ѧ10Ѧ10 = Yussohex
10ѦѦ10 = 10Ѧ10Ѧ10Ѧ10Ѧ10Ѧ10Ѧ10Ѧ10Ѧ10Ѧ10 = Yussodeck
10ѦѦ10ѦѦ10 = Yussodudeck
10ѦѦ10ѦѦ10ѦѦ10 = Yussotrideck
10ѦѦѦ10 = Yussotreck
10ѦѦѦ10ѦѦѦ10 = Yussodutreck
10ѦѦѦ10ѦѦѦ10ѦѦѦ10 = Yussotritreck
10ѦѦѦѦ10 = Yussoteteck
10Ѫ10 = Yussodecadeck
10Ѫ10Ѫ10 = Yussodudecadeck
10ѪѪ10 = Yussobideck
10ѪѪ10ѪѪ10 = Yussodubideck
10ѪѪѪ10 = Yussotrideck
10ѪѪѪ10ѪѪѪ10
10[Ѫ]10 = Trussodeck
10[Ѫ]10[Ѫ]10 = Trussodudeck
10[Ѫ][Ѫ]10 = Trussobideck
10[Ѫ][Ѫ][Ѫ]10 = Trussotrideck
10[[Ѫ]]10 = Pensodeck
10[[Ѫ]]10[[Ѫ]]10 = Pensodudeck
10{5}10 = Hexodeck
10{10}10 = Decodeck
10{10{10}10}10 = Deckiterdeck
10{{10}}10 = Dudecodeck
10{{{10}}}10 = Tredecodeck
10{10}410 = Tetradeck
10{10}1010 = Deckodeckadeck
10{10}10{10}10 = 10{10}10{10}1010 = Iterdeckodeckadeck
10{10}10{10}10{10}101010 = Tachyonicker
10{10}10{10}10{10}10 = 10{10}10{10}10{10}1010{10}10{10}10{10}1010 = Megatachy
10{10}{1}10 = Gigatachy
10{10}{2}10 = Teratachy
10{10}{10}10 = Megigatachy
10{10}{{10}}10 = Tachytachy
10{10}{10}{10}10 = Petatachy
10Ꙙ10 = Decatachy
10[Ꙙ]10 = Duodecatachy
10{[10]}10 = Megadecatachy
10Ꙝ10 = Gigadecatachy
10ꙜꙜ10 = Teratachy
10ꙜꙜꙜ10 = Petatritachy
10Ꙝ10ꙜꙜꙜ1010 = Tachyon
⟬3, 3, 3, 3⟭ = Tetrishel
= ⟬3, 3, ⟬3, 3, ⟬3, 3, ⟬3, 3, ⟬3, 3, ⟬3, 3, ⟬3, 3, 3⟭⟭⟭⟭⟭⟭ = 3^^...^^3 with 3^^...^^3 with 3^^...^^3 with 3^^...^^3 with 3^^...^^3 with 3^^...^^3 with 3^^^3 arrows...
⟬3, 3, 3, 3, 3⟭ = ⟬3|5⟭ = Quintrishel
= ⟬3, 3, 3, ⟬3, 3, 3, ⟬3, 3, 3, ⟬3, 3, 3, ⟬3, 3, 3, ⟬3, 3, 3, ⟬3, 3, 3, 3⟭⟭⟭⟭⟭⟭⟭
⟬5|5⟭ = Quinquishel
⟬10|10⟭ = Decadeshel
⟬10|10, 3⟭ = Tridecadeshel = ⟬10|⟬10|⟬10|⟬10|10, 2⟭⟭⟭⟭
⟬10|10|10⟭ = Trippedeshel
⟬10||10⟭ = Decabideshel
⟬10|||10⟭ = Decatrideshel
⟬10||||10⟭ = Decatedeshel
⟬10|||||10⟭ = Decapedeshel
⟬10\10⟭ = Desladeshel
⟬10\10, 10⟭ = Duodeslashel
⟬10\10\10⟭ = Tredeslashel
⟬10\\10⟭ = Dusladeshel
⟬10\\\10⟭ = Tresladeshel
⟬10\\\10\\\10⟭ = Tretrisladeshel
⟬10&10⟭ = Bideshel
⟬⟬10&10⟭&⟬10&10⟭⟭ = Dubideshel
⟬⟬⟬10&10⟭&⟬10&10⟭⟭&⟬⟬10&10⟭⟬10&10⟭⟭⟭ = Trebideshel
⟬(Trebideshel)&(Trebideshel)⟭ = Tetibideshel
⟬(Tetibideshel)&(Tetibideshel)⟭ = Penebideshel
⟬(Penebideshel)&(Penebideshel)⟭ = Hexibideshel
⟬(Hexibideshel)&(Hexibideshel)⟭ = Heptibideshel
⟬(Heptibideshel)&(Heptibideshel)⟭ = Octobidishel
⟬(Octobideshel)&(Octobideshel)⟭ = Nobideshel
⟬(Nobideshel)&(Nobideshel)⟭ = Deckeshel
⟦100, 100, 100, 100, 100⟧ = Quincentabrack
⟦100/10⟧ = Decacentabrack
⟦100/100⟧ = Centacentabrack
⟦5/5, 2⟧ = ⟦5/⟦5/⟦5/⟦5/5⟧⟧⟧⟧ = Biquindubrack
⟦5/5, 3⟧ = ⟦5/⟦5/⟦5/⟦5/5, 2⟧, 2⟧, 2⟧, 2⟧ = Biquintribrack
⟦10/10/2⟧ = Bidecadubrack
⟦10//10⟧ = Bidecaduslabrack
⟦10///10⟧ = Bidecatrislabrack
⟦10&10⟧ = Bidecandabrack
⟦⟦10&10⟧&⟦10&10⟧⟧ = Tetedecandabrack
⟦⟦⟦10&10⟧&⟦10&10⟧⟧&⟦⟦10&10⟧&⟦10&10⟧⟧⟧ = Tachybrack
x(1) = ⟦(Tachybrack)&(Tachybrack)⟧
x(n) = ⟦x(n-1)&x(n-1)⟧
x(x(x(x(x(...x(x(x(Tachybrack)))...))))) with x(x(x(Tachybrack))) applications of x() = Ultratachet
10⤇⤇3 = Decartri
10⤇⤇10 = Decardec
15⤇⤇12 = Quindecardodec
10⤇⤇10⤇3 Duodecartri
10⤇⤇10⤇⤇3 = Doduodecartri
10⤇⤇⤇10 = Decaduardec
10⤇[10] = Decarbradec
10⤇[10, 3] = Decardutre
3⤇[3]⤇[2] = Bitaredu
3⤇[3]⤇[3] = Bitaretri
10⤇⤇⤇[200] = Decarducen
10⤇[[100]] = Decardubracen
10⤇[[[300]]] = Decardubratricen
10⤇{100} = Tangol
10⤇{10⤇{100}} = Tangolplex
10⤇{10⤇{10⤇{100}}} = Tangolduplex
10⤇[100]3 = Decarcentribrack
10⤇[1000]4 = Decarkilotetabrack
10⤇[100]100 = Decarbicentabrack
10⤇[100]10⤇[100] = Decarcendecken
10⤇[100]@ where @ is Decarcendecken = Megacarcendecken (Biggest googolism on this site)
HG(2) = Hexagrobi
HG(3) = Hexagrotri
HG(17) = Hexaseptadec
HG(HG(1)) = Hexagrone
HG(HG(17)) = Duhexaseptadec
HG(HG(HG(17))) = Trihexaseptadec
HG(1, 4) = Hexategrone
HG(3, 10) = Decexagrotri
HG(10, 100) = Hexagoogra
HG(3, 3, 2) = HG(3, HG(3, HG(3, 3))) = Kilexagrotri
HG(7, 10, 2) = Megexagrodec
HG(3, 3, 3) = Gigexagrotri
HG(10, 3, 3) = Megigexagrotri
HG(10, 10, 100) = Plexigoogra
HG(3, 3, 3, 2) = Tritrexadu
HG(3, 3, 3, 3) = Tetexatri
HG([4]) = HG(4, 4, 4, 4) = Hexaquatet
HG([17]) = Hexasedebi
HG([HG([17])]) = Duhexasedebi
HG([3]2) = Exponexatri
HG([HG([HG([17])])]) = Trihexasedebi
HG([4]2) = Exponexatet
HG([5]2) = Exponexapen
HG([10]2) = Exponexadec
HG([10]3) = Tetronexadec
HG([10]1,2) = Dudecexagra
HG([10]2,2) = Medecexagra
HG([14]1,3) = HG([HG([...HG([HG([14]14,2)]14,2)...]14,2)]14,2) with 14 recursions = Tedexatrigra
HG([11]6,3) = Gidecexagra
HG([100]100,100) = Burvagarslav (A name mixing my favorite bands, Bush, Nirvana, Soundgarden, and Audioslave)
HG([16], 2) = Hexadexadu
HG([12], 3) = Dodecexatri
HG([12], 1, 2) = Dodecexundu
HG([12], 2, 10) = Dodecexaduten
HG([11], 6, 7, 8) = Undecexahexeptoc
HG([6, 2]) = Hexexaclodu
HG([6, 3]) = Hexexaclotri
HG([10, 100]) = Googexaclogol
HG([HG(11), HG(6)]) = Glysholitzen
HG([10, 100]2) = Googexaclogodu
HG([16, 12]3) = Sixteetwelexatri
HG([17, 11]6) = Mecomexa
HG([3, 3], 2) = HG([3, 3]3, 3, 3) = Bigthrexahedu
HG([10, 11, 3]) = Decundexacatri
HG([3, 3, 3, 3]) = Texatri
=HG([HG([HG([3, 2, 3, 3]), 2, 3, 3]), 2, 3, 3])
=HG([HG([HG([HG([HG([3, 1, 3, 3]), 1, 3, 3]), 1, 3, 3]), 2, 3, 3]), 2, 3, 3])
=HG([HG([HG([HG([HG([HG([HG([3, 3, 2, 3]), 3, 2, 3]), 3, 2, 3]), 1, 3, 3]), 1, 3, 3]), 2, 3, 3]), 2, 3, 3])
HG([33][2]) = Tritrexabidu
HG([3][3]) = Megextridutre
HG([3][1][2]) = Megextriundu
HG([33, 1][2]) = Trimegextrimundu
HG([7, 2][2]) = Firecracker
HG([Firecracker, 2][2]) = Handgrenade
HG([Handgrenade, 2][2]) = Napalm
HG([Napalm, 3][2]) = Tannerite
HG([Tannerite, 3][3]) = Trinitrotoluene
HG([6, Trinitrotoluene][17]) = Glycerine
HG([Glycerine, Glycerine][Glycerine]) = Nitroglycerine
HG([Nitroglycerine, Nitroglycerine][Nitroglycerine]) = Trinitroglycerine (I'm fairly certain as of 2025/2/1 this is my largest number.)
HG([6, 1, 1][2]) = Hexexundubdu
HG([6, 5, 4][3]) = Hexexquiquadubtri
HG([3, 3, 3, 3][33]) = Triptrexhetri
HG([3][3, 3]) = Triptrixdubtre
HG([3][3][3, 3]) = Hytretri
HG([3, 3, 3][3, 3, 3][3, 3, 3]) = Hymegtretri
HG([9[2]]) = Soninondu
HG([3[3]]) = Sonitritre
HG([11[6]]) = Sonilevihex
HG([1,700[Trinitroglycerine]]) = Atom-Bomb
HG([Atom-Bomb[Atom-Bomb]]) = H-Bomb
HG([H-Bomb[H-Bomb]]) = Thermonuclear-Warhead (As of 2025/2/3, I think this is my biggest number)
HG([Thermonuclear-Warhead[Thermonuclear-Warhead, Thermonuclear-Warhead]]) = Supernova (2025/2/4 Biggest number)
HG([3|3]) = Comthibrisnow
HG([Supernova||Comthibrisnow]) = Big-Bang (2025/2/6 Biggest number) Just think. All of this, through the long definition of Hexagraphs, decays down to in insane amount of HG(HG(HG(HG(......)))) onto an enormous number. Recursion is beautiful.
☾☾100|100,2☽|☾100|100,2☽, 2☽ = Megacresc
☾100||100☽ = Centurocresc
☾10:2☽ = Decabicresc
☾3:3☽ = Dutricresc
☾11:6☽ = Undecexacresc
☾10:100☽ = Googolcresc
☾(11,000,000):(6,000,000)☽ = Megundecexacresc
☾☾3:3☽:☾3:3☽☽ = Bidutricresc
☾☾☾3:3☽:☾3:3☽☽:☾☾3:3☽:☾3:3☽☽☽ = Tedutricresc
☾10:10:100☽ = Plexicrest
☾10::3☽ = Tendutricrest
☾10%2☽ = Tencenducrest
☾10%100☽ = Googolcencrest
☾10%10%100☽ = Plexicencrest
☾10?☽ = ☾10%9%8%7%6%5%4%3%2☽ = Tenstion
☾100?☽ = Censtion
☾10?2☽ = Tendustion
☾10?10☽ = Tenenstion
☾10?100☽ = Googostion
☾☾10?10☽?100☽ = Tengolistion
HP(12, 2) = Hexatweldupra
HP(3, 3) = Hexatritrepra
HP(88, 12) = Hexaoctotwelpra
HP(HP(99, 98), HP(68, 67)) = Hexarandopra
FP(2, 3) = Fixedutripra
FP(4, 2) = Fixetedupra
FP(5, 5) = Fixequinquinpra
FP(100, 88) = Fixecentoctopra
~(5,2)~ = ~(~(~(~(~(5)~)~)~)~)~ = 10^(10^(10^(10^(10^5)))) =10^(10^(10^(10^100,000))) = Grilquindu
~(5,3)~ = ~(~(~(~(~(5,2)~,2)~,2)~,2)~,2)~ = ~(~(~(~(Grilquindu,2)~,2)~,2)~,2)~ = Grilquintri
~(5,1,2)~ = ~(5,~(5,~(5,~(5,~(5,5)~)~)~)~)~ = Grilquinondu
~(3,3,3)~ = Griltriartri
~(6,2,3)~ = Grilexadutri
~(4,1,1,4)~ = Griltetonontet
~(2,2,2,2)~ = Grilquadu
~(4#2)~ = ~(4,4,4,4)~ = Griltetetetet
~(5#2)~ = ~(5,5,5,5,5)~ = Grilquinuinuinuinuin
~(3#3)~ = ~(~(~(3#2)~#2)~#2)~ = Griltrihashtri
~(10#100)~ = Grilgol
~(~(10#100)~#~(10#100)~)~ = Grilled Cheese
I have no idea how big these numbers actually are; more research needs to be done on HMG
HMG(3) = HMG-3
HMG(4) = HMG-4
HMG(5) = HMG-5
HMG(10) = HMG-10
HMG(10^100) = Mini-Miter
HMG(10, 1, 2) = HMG(10, HMG(10, HMG(10, HMG(10, HMG(10, HMG(10, HMG(10, HMG(10, HMG(10, HMG(10, 10)))))))))) = Tiny-HMG
HMG(10, 2, 2) = HMG(HMG(HMG(HMG(HMG(HMG(HMG(HMG(HMG(HMG(10, 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2) = HMG(10, 2, 2) = HMG(HMG(HMG(HMG(HMG(HMG(HMG(HMG(HMG(Tiny-HMG, 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2), 1, 2) = Mini-HMG
HMG(3, 1, 1, 2) = HMG(3, 3, HMG(3, 3, HMG(3, 3, 3))) = Mid-HMG
HMG(3, 1, 1, 1, 2) = HMG(3, 3, 3, HMG(3, 3, 3, HMG(3, 3, 3, 3))) = Big-HMG
HMG([10]) = HMG(10, 10, 10, 10, 10, 10, 10, 10, 10, 10) = Large-HMG
HMG([100]) = Substantial-HMG
HMG([1000]) = Expansive-HMG
HMG([2000]) = Enormous-HMG
HMG([HMG(10)]) = Colossal-HMG
HMG([HMG(10, 1, 2)]) = Immense-HMG
HMG([HMG([4])]) = Monumental-HMG
HMG([HMG([10])]) = Massive-HMG
HMG([HMG([100])]) = Tremendous-HMG
HMG([HMG([1000])]) = Gargantuan-HMG
HMG([HMG([2000])]) = Titanic-HMG
HMG([HMG([HMG([10])])]) = Behemothic-HMG
HMG([HMG([HMG([100])])]) = Mammoth-HMG
HMG([HMG([HMG([1000])])]) = Mountainous-HMG
HMG([HMG([HMG([2000])])]) = Planetary-HMG
HMG([HMG([HMG([HMG([10])])])]) = Astronomical-HMG
HMG([HMG([HMG([HMG([100])])])]) = Galactic-HMG
HMG([HMG([HMG([HMG([1000])])])]) = Cosmic-HMG
HMG([HMG([HMG([HMG([2000])])])]) = Universal-HMG
HMG([HMG([HMG([HMG([HMG([10])])])])]) = Multiversal-HMG
HMG([10, 2]) = Decudask
HMG([3, 3]) = HMG([HMG([HMG([3, 2]), 2]), 2]) = HMG([HMG([HMG([HMG([HMG([3])])]), 2]), 2]) = Tritrask
HMG([10, 3]) = Decridask
HMG([3, 3, 3]) = HMG([HMG([HMG([3, 2, 3]), 2, 3]), 2, 3]) = Cutrask
HMG([102]) = Tetrudecask
HMG([103]) = Tetridecask
HMG([1010]) = Megecatask
HMG([HMG([1010])10]) = Gigecask
MCLAN(1) = First Clan
MCLAN(2) = Second Clan
MCLAN(3) = Third Clan
MCLAN(5) = Quinclan
MCLAN(10) = Declan
MCLAN(17) = Hedeclan
MCLAN(50) = Halcenclan
MCLAN(100) = Cenclan
MCLAN(10^100) = Gooclan
MCLAN(MCLAN(10)) = Mega-Declan
MCLAN(MCLAN(100)) = Mega-Cenclan
MCLAN(MCLAN(10^100)) Gooclanplex
[3]↤[3] = Trearmix
[2]↤[[2]↤[[2]↤[3]]]
[2]↤[[2]↤[[1]↤[[1]↤[[1]↤[3]]]]]
[2]↤[[2]↤[[1]↤[[1]↤[[0]↤[[0]↤[[0]↤[3]]]]]]]
[2]↤[[2]↤[[1]↤[[1]↤[6]]]]
[2]↤[[2]↤[[1]↤[12]]]
[2]↤[[2]↤[24]]
[2]↤[402,653,184]
402,653,184(2^402,653,184)
[3]↤[4] = Treatuarmix
[4]↤[2] = Teduarmix
[3]↤[[3]↤[2]]
[3]↤[[2]↤[[2]↤[2]]]
[3]↤[[2]↤[8]]
[3]↤[2,048]
[4]↤[3] = Tetriarmix
[3]↤[[3]↤[[3]↤[3]]]
[3]↤[[3]↤[[2]↤[402,653,184]]]
[4]↤[4] = Tetarmix
[3]↤[[3]↤[[3]↤[[3]↤[4]]]]
[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[4]]]]]]]
[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[64]]]]]]
[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[~1.26e+21]]]]]
[4]↤[5] = Tequinarmix
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[5]]]]]
[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[5]]]]]]]]]
[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[160]]]]]]]]
[4]↤[6] = Tetexarmix
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[6]]]]]]
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[6]]]]]]]]]]]
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[384]]]]]]]]]]
[4]↤[7] = Teteptarmix
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[7]]]]]]]
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[7]]]]]]]]]]]]]
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[896]]]]]]]]]]]]
[4]↤[8] = Tetoctarmix
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[8]]]]]]]]
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[8]]]]]]]]]]]]]]]
[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[2,048]]]]]]]]]]]]]]
[5]↤[2] = Quinduarmix
[4]↤[[4]↤[2]]
[4]↤[[3]↤[2,048]]
[5]↤[3] = Quintriarmix
[4]↤[[4]↤[[4]↤[3]]]
[4]↤[[4]↤[[3]↤[[3]↤[[3]↤[3]]]]]
[4]↤[[4]↤[[3]↤[[3]↤[[2]↤[402,653,184]]]]]
[5]↤[4] = Quitetarmix
[4]↤[[4]↤[[4]↤[[4]↤[4]]]]
[4]↤[[4]↤[[4]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[64]]]]]]]]]
[5]↤[5] = Quiquinarmix
[4]↤[[4]↤[[4]↤[[4]↤[[4]↤[5]]]]]
[4]↤[[4]↤[[4]↤[[4]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[160]]]]]]]]]]]]
[5]↤[6] = Quinexarmix
[4]↤[[4]↤[[4]↤[[4]↤[[4]↤[[4]↤[6]]]]]]
[4]↤[[4]↤[[4]↤[[4]↤[[4]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[6]]]]]]]]]]]
[4]↤[[4]↤[[4]↤[[4]↤[[4]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[6]]]]]]]]]]]]]]]]
[4]↤[[4]↤[[4]↤[[4]↤[[4]↤[[3]↤[[3]↤[[3]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[384]]]]]]]]]]]]]]]
[6]↤[2] = Hexaduarmix
[5]↤[[5]↤[2]]
[5]↤[[4]↤[[4]↤[2]]]
[5]↤[[4]↤[[3]↤[[3]↤[2]]]]
[5]↤[[4]↤[[3]↤[[2]↤[[2]↤[2]]]]]
[5]↤[[4]↤[[3]↤[[2]↤[8]]]]
[5]↤[[4]↤[[3]↤[2,048]]]
[6]↤[3] = Hexatriarmix
[5]↤[[5]↤[[5]↤[3]]]
[5]↤[[5]↤[[4]↤[[4]↤[[4]↤[3]]]]]
[5]↤[[5]↤[[4]↤[[4]↤[[3]↤[[3]↤[[3]↤[3]]]]]]]
[5]↤[[5]↤[[4]↤[[4]↤[[3]↤[[3]↤[[2]↤[[2]↤[[2]↤[3]]]]]]]]]
[5]↤[[5]↤[[4]↤[[4]↤[[3]↤[[3]↤[[2]↤[[2]↤[24]]]]]]]]
[7]↤[2] = Heptaduarmix
[6]↤[[6]↤[2]]
[6]↤[[5]↤[[4]↤[[3]↤[[2]↤[2]]]]]
[6]↤[[5]↤[[4]↤[[3]↤[8]]]]
[6]↤[[5]↤[[4]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[8]]]]]]]]]]]
[6]↤[[5]↤[[4]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[2,048]]]]]]]]]]
[7]↤[3] = Heptriarmix
[6]↤[[6]↤[[6]↤[3]]]
[6]↤[[6]↤[[5]↤[[5]↤[[5]↤[3]]]]]
[6]↤[[6]↤[[5]↤[[5]↤[[4]↤[[4]↤[[3]↤[[3]↤[[2]↤[402,653,184]]]]]]]]]
[10]↤[2] = Decaduarmix
[9]↤[[8]↤[[7]↤[[6]↤[[5]↤[[4]↤[[3]↤[[2]↤[2]]]]]]]]
[9]↤[[8]↤[[7]↤[[6]↤[[5]↤[[4]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[[2]↤[2,048]]]]]]]]]]]]]
[10]↤[3] = Decartriarmix
[0]↤[0]↤[3] = Zertrearmix
[[[3]↤[3]]↤[3]]↤[3]
[[2]↤[402,653,184]]↤[3]
[0]↤[1]↤[3] = Zeruntrarmix
[0]↤[0]↤[[0]↤[0]↤[[0]↤[0]↤[3]]]
[0]↤[0]↤[[0]↤[0]↤[[[2]↤[402,653,184]]↤[3]]]
[0]↤[2]↤[3] = Zerdutrarmix
[0]↤[1]↤[[0]↤[1]↤[[0]↤[1]↤[3]]]
[0]↤[1]↤[[0]↤[1]↤[[0]↤[0]↤[[0]↤[0]↤[[[2]↤[402,653,184]]↤[3]]]]]
[1]↤[0]↤[3] = Unzertrarmix
[0]↤[[0]↤[[0]↤[3]↤[3]]↤[3]]↤[3]
[0]↤[[0]↤[[0]↤[2]↤[[0]↤[2]↤[[0]↤[2]↤[3]]]]↤[3]]↤[3]
[0]↤[[0]↤[[0]↤[2]↤[[0]↤[2]↤[[0]↤[1]↤[[0]↤[1]↤[[0]↤[0]↤[[0]↤[0]↤[[[2]↤[402,653,184]]↤[3]]]]]]]]↤[3]]↤[3]
[3]↤[3]↤[3] = Dutrearmix
[3]↤[2]↤[[3]↤[2]↤[[3]↤[2]↤[3]]]
[3]↤[2]↤[[3]↤[2]↤[[3]↤[1]↤[[3]↤[1]↤[[3]↤[1]↤[3]]]]]
[3]↤[2]↤[[3]↤[2]↤[[3]↤[1]↤[[3]↤[1]↤[[3]↤[0]↤[[3]↤[0]↤[[3]↤[0]↤[3]]]]]]]
[3]↤[2]↤[[3]↤[2]↤[[3]↤[1]↤[[3]↤[1]↤[[3]↤[0]↤[[3]↤[0]↤[[2]↤[[2]↤[[2]↤[3]↤[3]]↤[3]]↤[3]]]]]]]
[0, 0]↤[4] = Tetduarmix
[4]↤[4]↤[4]↤[4]
[4]↤[4]↤[3]↤[[4]↤[4]↤[3]↤[[4]↤[4]↤[3]↤[[4]↤[4]↤[3]↤[4]]]]
[4]↤[4]↤[3]↤[[4]↤[4]↤[3]↤[[4]↤[4]↤[3]↤[[4]↤[4]↤[2]↤[[4]↤[4]↤[2]↤[[4]↤[4]↤[2]↤[[4]↤[4]↤[2]↤[4]]]]]]]
[1]↤[2]↤[3]↤[4]↤[5] = Quintuonarmix
[0, 0]↤[5] = Quinzerduarmix
[5]↤[5]↤[5]↤[5]↤[5]
[0, 0, 0]↤[5] = Quinzertriarmix
[[[[[5, 5]↤[5], 5]↤[5], 5]↤[5], 5]↤[5], 5]↤[5]
[[[[[5, 5]↤[5], 5]↤[5], 5]↤[5], 5]↤[5], 5]↤[5]
[[[[[5, 4]↤[[5, 4]↤[[5, 4]↤[[5, 4]↤[[5, 4]↤[5]]]]], 5]↤[5], 5]↤[5], 5]↤[5], 5]↤[5]
[0, 0, 0, 0]↤[6] = Hextetarmix
[0, 0, 0]↤[0, 0, 0]↤[10] = Decarmixtridu
[2]↤↤[2] = Dududuarmix
= [1]↤↤[[1]↤↤[2]]
= [1]↤↤[[0]↤↤[[0]↤↤[2]]]
= [1]↤↤[[0]↤↤[[2, 2]↤[2, 2]↤[2]]]
= [1]↤↤[[0]↤↤[[2, 2]↤[2, 1]↤[[2, 2]↤[2, 1]↤[2]]]]
= [1]↤↤[[0]↤↤[[2, 2]↤[2, 1]↤[[2, 2]↤[2, 0]↤[[2, 2]↤[2, 0]↤[2]]]]]
= [1]↤↤[[0]↤↤[[2, 2]↤[2, 1]↤[[2, 2]↤[2, 0]↤[[2, 2]↤[1, [2, 2]↤[1, 2]↤[2]]↤[2]]]]]
= [1]↤↤[[0]↤↤[[2, 2]↤[2, 1]↤[[2, 2]↤[2, 0]↤[[2, 2]↤[1, [2, 2]↤[0, 2]↤[[2, 2]↤[0, 2]↤[2]]]↤[2]]]]]
= [1]↤↤[[0]↤↤[[2, 2]↤[2, 1]↤[[2, 2]↤[2, 0]↤[[2, 2]↤[1, [2, 2]↤[0, 2]↤[[2, 2]↤[0, 1]↤[[2, 2]↤[0, 1]↤[2]]]]↤[2]]]]]
= [1]↤↤[[0]↤↤[[2, 2]↤[2, 1]↤[[2, 2]↤[2, 0]↤[[2, 2]↤[1, [2, 2]↤[0, 2]↤[[2, 2]↤[0, 1]↤[[2, 2]↤[0, 0]↤[[2, 2]↤[0, 0]↤[2]]]]]↤[2]]]]]
= [1]↤↤[[0]↤↤[[2, 2]↤[2, 1]↤[[2, 2]↤[2, 0]↤[[2, 2]↤[1, [2, 2]↤[0, 2]↤[[2, 2]↤[0, 1]↤[[2, 2]↤[0, 0]↤[[2, 1]↤[0, 0]↤[[2, 1]↤[0, 0]↤[2]]]]]]↤[2]]]]]
[100]↤↤[10] = Googarmix
[0]↤↤↤[3] = Zertriartriarmix
[3, 3, 3]↤↤[3, 3, 3]↤↤[3, 3, 3]↤↤[3]
[1]↤↤↤[3] = Untriartriarmix
[0]↤↤↤[[0]↤↤↤[[0]↤↤↤[3]]]
[0]↤↤↤[[0]↤↤↤[[3, 3, 3]↤↤[3, 3, 3]↤↤[3, 3, 3]↤↤[3]]]
[2]↤↤↤[3] = Dutriartriarmix
[1]↤↤↤[[1]↤↤↤[[1]↤↤↤[3]]]
[3]↤↤↤[3] = Tretriartriarmix
[2]↤↤↤[[2]↤↤↤[[2]↤↤↤[3]]]
[100]↤↤↤[10] = Googarmixplex
[0]↤↤↤↤[5] = Zertetarquinarmix
[100]↤↤↤↤[10] = Googarmixduplex
[2]↤↤↤↤↤[3] = Duquinartriarmix
[100]↤5[10] = Googarmixtriplex
[100]↤6[10] = Googarmixquadriplex
[100]↤7[10] = Googarmixquinplex
[100]↤8[10] = Googarmixhexiplex
[100]↤9[10] = Googarmixheptaplex
[100]↤10[10] = Googarmixoctoplex
[100]↤Googarmix[10] = Super-Googarmix
[100]↤Super-Googarmix[10] = Super-Super-Googarmix
[100]↤Super-Super-Googarmix[10] = Super-Super-Super-Googarmix
[100]↤Super-Super-......Super-Super-Googarmix[10] with Googarmix Super-s = Hyper-Googarmix
[100]↤Super-Super-......Super-Super-Googarmix[10] with Hyper-Googarmix Super-s = Hyper-Hyper-Googarmix
[100]↤Super-Super-......Super-Super-Googarmix[10] with Hyper-Hyper-Googarmix Super-s = Hyper-Hyper-Hyper-Googarmix
[100]↤Hyper-Hyper-......Hyper-Hyper-Googarmix[10] with Hyper-Hyper-...(Super-Googarmix)...Hyper-Hyper-Googarmix Hyper-s = Meta-Googarmix
DEN(1) = Little Den
DEN(2) = Duoden
DEN(3) = Triden
DEN(4) = Quaden
DEN(5) = Quinden
DEN(10) = Decaden
DEN(100) = Hectoden
DEN(DEN(100)) = Bectoden
DEN(DEN(DEN(100))) = Trectoden
ESoCC(30)
ESoCC(100) = Hectock
ESoCC(1000) = Kilock
ESoCC(10^10) = Tenbillock
ESoCC(10^100) = Esoogol
ESoCC(10^(10^100)) = Esplexoogol
ESoCC(G(64)) = Grahock
G(64) = Graham's number
ESoCC(ESoCC(5)) = Double Socc 5
ESoCC(5) = 9~~~9 = 9^9 = 387,420,489
ESoCC(ESoCC(5)) = ESoCC(387,420,489)
ESoCC(ESoCC(6)) = Double Socc 6
I beleive ESoCC(6) = 9~^(9)9
ESoCC(ESoCC(100)) = Double Socc 100
ESoCC(ESoCC(10^100)) = Esoogolplex
ESoCC(ESoCC(ESoCC(5))) = Triple Socc 5
ESoCC(TREE[3]) = Treek
ESoCC(Double Socc 5)
[1]ESoCC(3) = Threesocc
= ESoCC(ESoCC(ESoCC(3)))
[1]ESoCC(4) = Foursocc
= ESoCC(ESoCC(ESoCC(ESoCC(4))))
[1]ESoCC(5) = Fivesocc
[1]ESoCC(10) = Tensocc
[1]ESoCC(100) = Mega King Socc
ESoCC^300(300) = Miter-300
[1]ESoCC(10^100) = Hypesoogol
[1]ESoCC([1]ESoCC(10^100)) = Hypesoogolplex
[1]ESoCC([1]ESoCC([1]ESoCC(10^100))) = Hypesoogolduplex
[2]ESoCC(3) = Duthresocc
[1]ESoCC([1]ESoCC(ESoCC(ESoCC(ESoCC(3)))))
I think ESoCC(3) must be simply 999. 9~9 is only 18. 9~~ is only 10.
[2]ESoCC(4) = Dutetsocc
I think ESoCC(4) is 9999. 9~~9 is only 81, 9~99 is only 108.
[2]ESoCC(10) = Milsocc
[2]ESoCC(10^100) = Metesoogol
[2]ESoCC(Metesoogol) = Metesoogolplex
[3]ESoCC(3) = Tritresocc
[3]ESoCC(10) = Bilsocc
[4]ESoCC(10) = Trilsocc
[5]ESoCC(100) = Megolsocc
[10]ESoCC(10) = Decosoccarde
[10]ESoCC(100) = Megol
[100]ESoCC(10) = Goosocc
The definitions of some numbers have changed due to the definition of ESoCC changing.
[[10]ESoCC(10)]ESoCC(10) = Big Socc
[Megol]ESoCC(10) = Megolplex
[Megolplex]ESoCC(10) = Megolduplex
[Megolduplex]ESoCC(10) = Megoltriplex
f(1) = Megol
f(g) = [f(g-1)]ESoCC(10)
f(100) = Megolhectoplex
f(200) = Megolduhectoplex
f(300) = Megoltrihectoplex
f(1000) = Megolkiloplex
f(1000000) = Megolmegaplex
f(1000000000) = Megolgigaplex
f(1000000000000) = Megolteraplex
f(Megol) = Megolhyperplex
[[[...[[10]ESoCC(10)]ESoCC(10)...]ESoCC(10)]ESoCC(10)]ESoCC(10) (with Big Socc recursions) = Bigger Socc
v(n, 1) = [n]ESoCC(n)
v(n, k) = v(v(...v(v(n, k-1), k-1)..., k-1), k-1) with n nestings
v(10, 3) = Vuncodecatri
v(10, 4) = Vuncodecatet
v(10, 5) = Vuncodecapen
v(10, 10) = Vuncobidec
v(10, 100) = Vegol
v(10, Vegol) = Vegolplex
vv(n, 1) = Vegol
vv(n, k) = v(n, vv(n, k-1))
vv(10, 3) = Vegolduplex
vv(10, 4) = Vegoltriplex
vv(10, 10) = Vegoldecaplex
vv(10, 100) = Vegolhectoplex
vv(10, 200) = Vegolduhectoplex
vv(10, 1000) = Vegolkiloplex
vv(10, 1000000) = Vegolmegaplex
vv(10, 1000000000) = Vegolgigaplex
vv(10, 1000000000000) = Vegolteraplex
vv(10, Vegol) = Vegolhyperplex
T(n, 1) = vvn(n, vn(n, fn(n)))
T(n, d) = T(T(...T(T(n, d-1), d-1)..., d-1), d-1) with n nestings
T(3, 1) = vv(3, vv(3, vv(3, v(3, v(3, v(3, f(f(f(3)))))))))
T(4, 1) = vv(4, vv(4, vv(4, vv(4, v(4, v(4, v(4, v(4, f(f(f(f(4))))))))))))
T(3, 2) = T(T(T(3, 1), 1), 1)
T(3, 1) = Tethrone
T(4, 1) = Tetetone
T(3, 2) = Tethdu
T(3, 3) = Tethretri
The number has changed once again.
T(T(T(3, 3), T(3, 3)), T(T(3, 3), T(3, 3))) = Miter's Number. The definition has changed once again.
[ω+1]ESoCC(3) = Megathrosocc
[ω+2]ESoCC(3) = Megaduthrosocc
[ω2]ESoCC(3) = Dumegathrosocc
[ω^2]ESoCC(3) = Megamegathrosocc
[ω^ω]ESoCC(3) = McMegathrosocc
[ω^ω^ω]ESoCC(3) = MickoMegathrosocc
[ω^^^ω]ESoCC(3) = MickosongoMegathrosocc
[ω⎔ω]ESoCC(3) = Thomothrosocc
[ω*Thomothrosocc]ESoCC(3) = Biggothrocc
PSF(1) = Penunpi
PSF(2) = Pedupi
PSF(3) = Petripi
PSF(10) = Pedepi
PSF(100) = Pehectopi
PSF(PSF(1)) = Dupenunpi
PSF(PSF(2)) = Dupedupi
PSF(PSF(PSF(1))) = Tretripi
◭2, 1, 1◮ = Duthon
◭2, 2, 1◮ = Biduthon
◭2, 1, 2◮ = Odd Biduthon
◭2, 2, 2◮ = Triduthon
◭2, 1, 1, 1◮ = Meduthon
◭2, 2, 1, 1◮ = Mebiduthon
◭2, 1, 2, 1◮ = Odd Mebiduthon
◭2, 2, 2, 1◮ = Metriduthon
◭2, 1, 1, 2◮ = Megodd Mebiduthon
◭2, 2, 1, 2◮ = Odd Metriduthon
◭2, 1, 2, 2◮ = Megodd Metriduthon
◭2, 2, 2, 2◮ = Meteduthon
◭3, 1, 1◮ = Trithon
◭3, 2, 1◮ = Trithondu
◭3, 3, 1◮ = Bitrithon
◭3, 1, 2◮ = Trithonundu
◭3, 2, 2◮ = Trithonbidu
◭3, 3, 2◮ = Bitrithondu
◭3, 1, 3◮ = Trithonuntri
◭3, 2, 3◮ = Trithondutri
◭3, 3, 3◮ = Tritho
◭3, 1, 1, 1◮ = Metrithon
◭3, 2, 1, 1◮ = Metrithondu
◭3, 3, 1, 1◮ = Mebitrithon
◭3, 1, 2, 1◮ = Metrithonundun
◭3, 2, 2, 1◮ = Metrithonbidun
◭3, 3, 2, 1◮ = Mebitrithondun
◭3, 1, 3, 1◮ = Metrithonuntriun
◭3, 2, 3, 1◮ = Metrithondutriun
◭3, 3, 3, 1◮ = Metritrithonun
◭3, 1, 1, 2◮ = Metrithonbidundu
◭3, 2, 1, 2◮ = Metrithondundu
◭3, 3, 1, 2◮ = Mebitrithonundu
◭3, 1, 2, 2◮ = Metrithonunbidu
◭3, 2, 2, 2◮ = Metrithontridu
◭3, 3, 2, 2◮ = Mebitrithonbidu
◭3, 1, 3, 2◮ = Metrithonuntridu
◭3, 2, 3, 2◮ = Metrithondutridu
◭3, 3, 3, 2◮ = Metritrithondu
◭3, 1, 1, 3◮ = Metrithonbiuntri
◭3, 2, 1, 3◮ = Metriduntri
◭3, 3, 1, 3◮ = Mebitrithonuntri
◭3, 1, 2, 3◮ = Metrithonundutri
◭3, 2, 2, 3◮ = Metrithonbidutri
◭3, 3, 2, 3◮ = Mebitrithondutri
◭3, 1, 3, 3◮ = Metrithonunbitri
◭3, 2, 3, 3◮ = Metrithondubitri
◭3, 3, 3, 3◮ = Metetrithon
◭10, 10, 100◮ = Droogol
◭10, 10, 10, 100◮ = Droogolplex
◭10, 10, 10, 10, 100◮ = Droogolduplex
◭3, 1, 1, 1, 1, 1, 1, 1, 1, 1◮ = Some Big 3 Number
2⎔ω = Domage
2⎔ω+1 = Domer
2⎔ω+2 = Domerding
3⎔2 = Thretuex
3⎔ω = Thremego
10⎔100 = Medroogol
3⎔100 = Trithohector
1000⎔ω = kilhomeg
3⎔3⎔3 = Trithotri
4⎔4⎔4 = Trithotet
10⎔10⎔100 = Medroogolplex
3⎔3⎔3⎔3 = Tethotri
4⎔4⎔4⎔4 = Tethotet
10⎔10⎔10⎔100 = Medroogolduplex
3⎔4⎔5⎔6⎔7⎔8⎔9⎔10 = Increthotredec
10⎔9⎔8⎔7⎔6⎔5⎔4⎔3⎔2⎔1 = Decrethodecun
3⎔ω+1 = Trithomegiter
4⎔ω+1 = Tethomegiter
5⎔ω+1 = Penthomegiter
6⎔ω+1 = Hexthomegiter
7⎔ω+1 = Hepthomegiter
8⎔ω+1 = Octhomegiter
9⎔ω+1 = Nonthomegiter
10⎔ω+1 = Decthomegiter
2⎔ω+2 = Dugar
3⎔ω+2 = Trithomegdutre
2⎔ω+3 = Dugarplex
2⎔ω+4 = Dugarduplex
2⎔ω3 = Dugarhyperplex
100⎔2ω = Hecthomdug
2⎔ω+100 = Songol
2⎔ω+101 = Songolplex
2⎔ω+102 = Songolduplex
2⎔ω+200 = Songolhectoplex
2⎔ω+Songol = Songolhyperplex
2⎔ω*(2⎔ω*(2⎔ω2)) = Songolegaplex
2⎔⎔ω = Slingol
2⎔⎔ω+1 = Slingolplex
2⎔⎔ω+2 = Slingolduplex
2⎔⎔ω200 = Slingolingol
2⎔⎔◭ω, 20◮ = Slingolingomingol
7001⎔⎔⎔147324105 = Lateralum
A reference to the song/album "Lateralus" by TOOL, using leetspeak.
3⎔ω^2 = Trimegsqrex
3⎔ω^ω = Trimegmegex
3⎔ω⎔1 = Trithomumegun
3⎔ω⎔2 = Trithomumegadu
3⎔ω⎔ω = Trithomdomega
3⎔⎔1 = Threemegex
3⎔⎔2 = Threemexduex
3⎔⎔ω = Tripenthomeg
3⎔⎔⎔ω+1 = Tritrexthomegiter
3[⎔]1 = Trundexabrack
3⎔⎔⎔3
10[⎔]1 = Decunexabrack
3[⎔]2 = Tridunexabrack
3[⎔]ω = Trithomegabrack
10[⎔]ω = Decthomegbrack
400[⎔]ω = Miter-400
((3[⎔]ω)[⎔]ω)[⎔]ω = Trithomegbrackiter
4[⎔]5 = Tethoquibrack
4[⎔]ω+1 = Tethomegabrackiter
100[⎔]ω+1 = Hectothom
3[⎔]◭ω, 1◮ = Trithomegriun
3[⎔]◭ω, 2◮ = Trithomegridu
3[⎔]◭ω, ω◮ = Trithomegrimeg
3[⎔]◭ω, 1, 1◮ = Trithomegribinun
3[⎔]◭ω, 2, 1◮ = Trithomegridun
3[⎔]◭ω, ω, 1◮ = Trithomegrimegun
3[⎔]◭ω, 1, 2◮ = Trithomegriundu
3[⎔]◭ω, 2, 2◮ = Trithomegribidu
3[⎔]◭ω, ω, 2◮ = Trithomegrimegadu
3[⎔]◭ω, 1, ω◮ = Trithomegriunga
3[⎔]◭ω, 2, ω◮ = Trithomegriduga
3[⎔]◭ω, ω, ω◮ = Tribrackitrimega
3[⎔]3[⎔]1 = Bitribrackun
3[⎔]ω[⎔]ω = Threeams
10[⎔]ω[⎔]ω[⎔]ω[⎔]ω[⎔]ω = Biggams
3[⎔]ω[⎔]ω...[⎔]ω[⎔]ω[⎔]ω with Biggams ω's = Utter Biggams = ULTM(1)
2◈0 = Duey
3◈0 = Truey
2◈1 = Duney
3◈1 = Truney
3◈2 = Truneduey
3◈ω = Trumeguney
2◈ω+1 = Dumegiterney
3◈ω+1 = Trumegiterney
2◈ω+2 = Dumegdutiterney
3◈ω+2 = Trumegdutiterney
3◈ω2 = Trudumegerney
3◈ω3 = Trutrimegerney
3◈◈1 = Dutruney
3◈◈ω = Dutrumeguney
3◈◈ω+1 = Dutrumegiteruney
3◈◈ω+2 = Dutrumegiduteruney
3◈◈◈ω = Tretrumeguney
3◈◈◈ω+1 = Tretrumegiteruney
3[◈]1 = Metruney
3[◈]2 = Metruduney
3[◈]ω = Metrumeguney
3[◈]ω+1 = Metrumegiterney
3[◈]ω+2 = Metrumegiduterney
3[◈]ω2 = Metrumegitriterney
3[◈]ω+4 = Metrumegiteterney
3[◈]ω+5 = Metrumegipenterney
3[◈]ω3 = Metrumegihexterney
500[◈]ω+500 = Miter-500
3[◈]ω[◈]ω[◈]ω = Triggams = 3[◈◈]1
3[[◈]]2 = Clotrini
3[[◈]]3 = Clobitrini
3[[◈◈]]1 = Clotridusymun
3[[[◈◈◈]]]ω+1 = Clomegoni
3{◈}1 = Clogigoni
4{◈}1 = Clangoni
3{◈}2 = Clomegigoni
10{◈}2 = Clongomeni
3{◈}ω = Clogigigoni
Also called a Miter
3{◈}ω+1 = Cloteratoni
3{◈}ω+2 = Clanteratodi
3{◈}ω2 = Teramegatimmedi
3{◈}ω^2 = Thislarint
3{◈}ω^ω = Theenlargint
3{◈}◭ω, 3◮ = Thisyons Great
3{◈}ω{◈}1 = Kaythiggenuge
3{◈}ω{◈}2 = Almosothayr
3{◈}ω{◈}ω = Thoma
3{◈}ω{◈}ω{◈}1 = Thomaplex
3{◈}ω{◈}ω{◈}2 = Thomaplexian
3{◈}ω{◈}ω{◈}ω = Thom Number
3{◈}ω{◈}ω...ω{◈}ω with Thom Number ω's = Super Secret Big Number
ULTM(2) = Dutter Biggams
ULTM(3) = Thrutter Biggams
ULTM(10) = Decutter Biggams
ULTM(Biggams) = Biggaplex
ULTM(2, 1) = Duttun Biggams
ULTM(3, 1) = Thruttun Biggams
ULTM(2, 2) = Bidutter Biggams
ULTM([3]) = Trethrutter Biggams
ULTM([5]) = Quipenutter Biggams
ULTM([10]) = Decadecutter Biggams
ULTM([Biggams]) = Meta Biggaplex
ULTM([ULTM([3])]) = Massopla
ULT([Massopla]) = Giggopla
4⤳1 = Fourvy
= (((4⤳0)⤳0)⤳0)⤳0 = ((16⤳0)⤳0)⤳0 =(65536⤳0)⤳0 = 2^(2^65536)
2⤳2 = Tuvydu
(2⤳1)⤳1
16⤳1
3⤳2 = Threevydu
4⤳2 = Fourvydu
2⤳3 = Tuvytri
3⤳3 = Threevytri
4⤳3 = Fourvytri
2⤳0⤳0 = Double Wave
2⤳(2⤳2)
3⤳0⤳0 = Triple Wave
3⤳(3⤳(3⤳3))
4⤳0⤳0 = Quadruple Wave
4⤳(4⤳(4⤳(4⤳4)))
2⤳1⤳0 = DuDouble Wave
(2⤳0⤳0)⤳0⤳0
2⤳2⤳0 = MegaDouble Wave
(2⤳1⤳0)⤳1⤳0
2⤳0⤳1 = Megazerdu Wave
2⤳(2⤳2⤳0)⤳0
2⤳1⤳1 = Megadun Wave
(2⤳0⤳1)⤳0⤳1
2⤳2⤳1 = Megabidu Wave
(2⤳1⤳1)⤳1⤳1
2⤳0⤳2 = Megabiduzer Wave
2⤳(2⤳2⤳1)⤳1
2⤳1⤳2 = Megadozer Wave
(2⤳0⤳2)⤳0⤳2
2⤳2⤳2 = Gigadozer Wave
(2⤳1⤳2)⤳1⤳2
2⤳2⤳2⤳2 = Gigadozer
2⤳2⤳2⤳2⤳2 = Teradozer
2⤳2⤳2⤳2⤳2⤳2 = Petadozer
2⤳2⤳2⤳2⤳2⤳2⤳2 = Exadozer
2⤳⤳⤳2 = Zetadozer
2⤳⤳⤳⤳2 = Yottadozer
2⤳[2] = Killdozer
(2⤳[1])⤳[1] = ((2⤳[0])⤳[0])⤳[1] = ((2⤳⤳2)⤳[0])⤳[1] = (((2⤳⤳1)⤳⤳1)⤳[0])⤳[1] = ((((2⤳⤳0)⤳⤳0)⤳⤳1)⤳[0])⤳[1] = ((((2⤳2)⤳⤳0)⤳⤳1)⤳[0])⤳[1] = (((16⤳⤳0)⤳⤳1)⤳[0])⤳[1]
GF(4) = Gifatet
((...((4!)!)!...)!)! with 720 !'s
GF(5) = Gifapen
((...((5!)!)!...)!)! with Gifatet !'s
GF(10) = ((...((10!)!)!...)!)! with GF(9) !'s
GF(GF(3)) = Bigifatri
GF(720)
GF(GF(4)) = Bigifatet
GF(GF(GF(3))) = Trigifatri
G(3) =
GF(4)
GF(10)
LCS(3, 2) = 3^(262144)+17
3, 2, 1
9, 4
81, 15
...
LCS(3, 3) = 27^(3^512) + 513
3, 2, 1
27, 8
19683, 511
19683^3, 510
...
MCS(5, 1, 1) = Mequichayn
365,567,271
MCS(3, 2, 2) = Dubochayn
MCS(3, 2, 3) = Squarochayn
MCS(3, 3, 3) = Cubochayn
MCS(3, 2, 4) = Tetochayn
MCS(3, 3, 4) = Metetochayn
MCS(3, 3, 10) = Betochayn
MCS(10, 10, 10) = Tretochayn
MCS(Cubochayn, Cubochayn, Cubochayn) = Beacubochayn
GCS(3, 1, 1, 2, 2, 1) = Firsomenni
GCS(3, 2, 2, 2, 2, 1) = Sekoval
GCS(3, 2, 2, 2, 2, 2) = Thurdley
GCS(5, 5, 5, 5, 5, 5) = Quidrania
GCS(10) = Grentinal
GCS([3]) = Grungat
GCS([10]) = Grendel
GCS([[10]]) = Gloindin
GCS([[[10]]]) = Parablar
GCS({10}) = Prendal
GCS({Prendal}) = Pralatus
8F = Aytibanor
65,520
9F = Nytibanor
2,227,680
10F = Taytibanor
122,522,400
56F = Ficentor
The first Fibanorial larger than Centillion
5F3T = Litanor
10F3T = Teninanor
5F4T = Fibinanor
5FωT = Fibanocor
10FωT = Tenfinacor
5F[ω]T = Litracor
6F[ω]T = Solitracor
10F[ω]T = Biggacor
100F[ω]T = Largacor
(googol)[ω]T = Triggabigga
10PF = Pritorta
11PF = Pritotun
12PF = Pritorba
(10PF)PF = Megritorba
((10PF)PF)PF = Gigritorba
4EPF = Powexafite
5EPF = Powexafipen
6EPF = Powexafex
7EPF = Powexept
8EPF = Powexoctar
9EPF = Powexanon
10EPF = Powexafida
100EPF = Powexafect
(10EPF)EPF = Megoxafa
((10EPF)EPF)EPF = Gigoxafa
2PFX = Hawduma
3PFX = Hawtrima
10PFX = Hawdema
(3PFX)PFX = Bihawtrima
((3PFX)PFX)PFX = Trehawtrima
2EPFX = Hexpoduma
10EPFX = Hexpodema
2PFEX = Trawduna
3PFEX = Trawtrina
10PFEX = Trawdena
(3PFEX)PFEX = Bitrawtrina
((3PFEX)PFEX)PFEX = Tretrawtrina
2MPF = Granadula
3MPF = Granatrila
10MPF = Granadela
(3MPF)MPF = Bigranatrila
((3MPF)MPF)MPF = Tregranatrila
GP(1) = Whetteck
GP(2) = Kaywhette
GP(3) = Smallzee
GP(10) = Whettenow
GP(GP(3)) = Medizee
GP(GP(GP(3))) = Krazee
GP(GP(...GP(GP(3))...)) with Krazee recursions = Insayno
⇂3◬[ω]⇃ = Triark
⇂5◬[ω]⇃ = Penark
⇂3◬[[ω]]⇃ = Megriark
⇂3◬M⇃ = Metrigark
⇂3◬[[[ω]]]⇃
⇂3◬M+1⇃ = Getrimark
⇂GP(600)◬M+1⇃ = Miter-600
⇂3◬M2⇃ = Sombinum
⇂3◬[M]⇃ = Enelarnum
⇂3◬[[M]]⇃ = Yaheanlarganum
⇂3◬<M>⇃ = Summowenelar
⇂3◬[[[M]]]⇃
⇂⇂⇂3◬<M>⇃◬<M>⇃◬<M>⇃ = Dabigone
#4 = Complefex
##4 = Dicomplefex
$4 = Mecomplefex
%4 = Gicomplefex
&4 = Tercomplefex
?4 = Hycomplefex
✩4 = Sucomplefex
![0]4 = Pocomplefex
![1]4 = Nucomplefex
![4]4 = Mincomplefex
Word(10) = 10 Letters
Word(16) = 16 Letters
Sentence(2) = Short Sentence
Word(Word(2)) = Word(676) ~ 3*10^956
Sentence(3) = What are they
Word(Word(Word(3)))
Paragraph(2) = Does Not Count
Sentence(Sentence(2))
Paragraph(3) = Short Paragraph
Page(2) = Assignment
Page(3) = Essay
Chapter(2) = Short Chapter
Chapter(3) =
Spiral(4) = Foural
Spiral(Spiral(2))
Spiral(Spiral(Spiral(1)))
(Tritet Jr.)↑↑...(Tritet Jr. - 1)...↑↑(Tritet Jr.)
Spiral(5) = Fiveral
Spiral(Spiral(3)) = Thriral
2 Spiraled In = Twinral
Spiral↑↑2(2)
Spiral↑(Spiral↑2(2))(2)
Spiral↑(Foural)(2)
3 Spiraled In = Thrinral
Spiral↑↑3(3)
Spiral↑(Spiral↑(Spiral↑3(3))(3))(3)
4 Spiraled Next = Fourexeral
Spiral↑↑↑↑4(4)
3 Spiraled Between = Lose Between the Sounds
RIF(Spiral, 3, 3)
A reference to the line in Lateralus by TOOL: "I lose myself between the sounds..."
2 Spiraled Out = Whatever Will Bewilder
RIF(Spiral, RIF(Spiral, 2, 2), Rif(Spiral, 2, 2))
Also a reference to Lateralus, this time the line: "Whatever will bewilder me..."
3 Spiraled Out = As Below So Above and Beyond
RIF(Spiral, RIF(Spiral, RIF(Spiral, 3, 3), RIF(Spiral, 3, 3)), RIF(Spiral, RIF(Spiral, 3, 3), RIF(Spiral, 3, 3)))
Again, a reference to Lateralus: "As below so above and beyond I imagine..."
7 Spiraled Out = Spiral Out, Keep Going
A reference to the last line in Lateralus: "Spiral out, keep going."