Oh my gosh... Part 6 of the mayhem of large numbers--
X^^X & a - {a,a/2}
==
Tethrathoth = E100#^^#100
Goppatoth = 10^^100 & 10
do not get this confused with {10,10^^100(1)2}. this is much much BIGGER!!
In fact this is {10,100(((...(((0,1)1)1)...1)1)1)2} with 49 1)'s and 1 (0,1)
Second Goppatoth = 100^^100 & 100 = X^^X & 100
The only reason this number exists is to match it with its extensions.
Nucleaxul = 200![[200200]]
slightly smaller than a giaquaxul.
Giaquaxul = 200![200,200,200,200]
This number is pronounced /gi-yak-WAZ-l/, or gia-quazzle, and shows how fast HAN arrays grow. infact [a,b,c,2] arrays are dimensional, and [a,b,c,3] arrays are trimensional, [a,b,c,4] arrays are quadramensional, and so on.
That means this number is actually a 200-mensional array.
Tethrathothigong = E100,000#^^#100,000
Technically MUCH BIGGER, but this is less than 1 level of recursion to a tethrathoth.
Grand tethrathoth = E100#^^#100#2
Still, just 1 level of recursion. this is the same as E100#^^#tethrathoth.
Goppatothplex = 10^^goppatoth & 10
This is much smaller than 10^^10^^100 & 10.
Fish number 5 ~ E63#^^#63#63
This number was another of those numbers coined by kyodaisuu (巨大数 in japanese).
Giggoppatoth = {10,100,2([1]1)2}
Grantethrathoth / Grangol-carta-tethrathoth / 99-ex-grand tethrathoth = E100#^^#100#100
And here we go again -_-
Gaggoppatoth = {10,100,3([1]1)2}
Greatethrathoth / Greagol-carta-tethrathoth = E100#^^#100#100#100
Geegoppatoth = {10,100,4([1]1)2}
Gigantethrathoth / Gigangol-carta-tethrathoth = E100#^^#100#100#100#100
Gugolda-carta-tethrathoth = E100#^^#100##100
Gugolthra-carta-tethrathoth = E100#^^#100##100##100
Gugolthra-carta-tethrathoth-gong = E100,000#^^#100,000##100,000##100,000
This number is here for a reason: It is very (googologically!) close to a notable number, the...
Output of marxen.c (approximately E1,000,000#^^#1,000,000##1,000,000##1,000,000 in xE^)
Weird to know that this is not even the biggest number by a c program smaller than 512 characters excluding linebreaks and spaces.
Googol-plexitris-carta-tethrathoth = E100#^^#100##100##(E100)
We'd better start moving much quicker to get somewhere.
Gugolthra-plexitris-carta-tethrathoth / Grand gugolthra-carta-tethrathoth = E100#^^#100##100##100#2
Graatagolthra-carta-tethrathoth = E100#^^#100##100##100#100
Gugoltesla-carta-tethrathoth = E100#^^#100##100##100##100
Throogol-carta-tethrathoth / Throogola-carta-tethrathoth = E100#^^#100###100
Tetroogol-carta-tethrathoth / Teroogola-carta-tethrathoth = E100#^^#100####100
Pentoogol-carta-tethrathoth / Petoogola-carta-tethrathoth = E100#^^#100#####100
Dektoogol-carta-tethrathoth / Dektoogola-carta-tethrathoth = E100#^^#100#^#10
Godgahlah-carta-tethrathoth = E100#^^#100#^#100
Gridgahlah-carta-tethrathoth = E100#^^#100#^##100
Kubikahlah-carta-tethrathoth = E100#^^#100#^###100
Godgathor-carta-tethrathoth = E100#^^#100#^#^#100
Gralgathor-carta-tethrathoth = E100#^^#100#^#^##100
Thraelgathor-carta-tethrathoth = E100#^^#100#^#^###100
Godtothol-carta-tethrathoth = E100#^^#100#^#^#^#100
Tethratrithoth = E100#^^#100#^^#100
Goppatritoth = {10,100([1]1)3}
Tethraterthoth = E100#^^#100#^^#100#^^#100 = E100#^^#*#4
Goppaquadtoth = {10,100([1]1)4}
Goppatoth-mul-root = {10,10([1]1)100} = (X^^X)+1 [100] & 10 using [p] for prime
Tethrathoth-by-hyperion = E100#^^#*#100
Yes, and we can now use our -by- operator on googolisms too 😮
Goppatoth-with-boogol = {10,100([1]1)100}
Goppatoth-with-corporal = {10,100([1]1)1,2}
Goppatoth-with-biggol = {10,100([1]1)100,2}
Tethrathoth-by-deutero-hyperion = E100#^^#*##100
Goppatoth-with-troogol = {10,100([1]1)10,100}
Tethrathoth-by-trito-hyperion = E100#^^#*###100
Goppatoth-with-quadroogol = {10,100([1]1)10,10,100}
Tethrathoth-by-godgahlah = E100#^^#*#^#100
Goppatoth-with-goobol = {10,100([1]1)(1)2}
Tethrathoth-by-gridgahlah = E100#^^#*#^##100
Goppatoth-with-goxxol = {10,100([1]1)(2)2}
Tethrathoth-by-kubikahlah = E100#^^#*#^###100
Goppatoth-with-coloxxol = {10,100([1]1)(3)2}
Goppatoth-mul-gongulus = {10,10([1]1)(100)2} = X^^X * (10^100) & 10
Tethrathoth-by-godgathor = E100#^^#*#^#^#100
Goppatoth-with-gongulus = {10,100([1]1)(100)2} = X^^X * (100^100) & 10
Tethrathoth-by-gralgathor = E100#^^#*#^#^##100
Tethrathoth-by-thraelgathor = E100#^^#*#^#^###100
Goppatoth-with-goplexulus = {10,100([1]1)((1)1)2} = X^^X * 10^10^100 & 10
Tethrathoth-by-godtothol = E100#^^#*#^#^#^#100
Goppatoth-with-goduplexulus = {10,100([1]1)((0,1)1)2} = X^^X * 10^10^10^100 & 10
Deutero-tethrathoth = E100#^^#*#^^#100
Dueli-goppatoth / Goppatoth-pow-two / Goppatoth-mul-goppatoth = {10,100([1]1)([1]1)2} = (X^^X)^2[100] & 10
Trito-tethrathoth = E100#^^#*#^^#*#^^#100
Trili-goppatoth / Goppatoth-pow-three = {10,100([1]1)([1]1)([1]1)2} = (X^^X)^3[100] & 10
Teterto-tethrathoth = E100(#^^#)^#4
Quardildri-goppatoth / Goppatoth-pow-four = {10,100([1]1)([1]1)([1]1)([1]1)2} = (X^^X)^4[100] & 10
Tethrafact = E100(#^^#)^#100
Goppafact / Goppatoth-pow-root = {10,100(1[1]1)2} = (X^^X)^100 & 10 = 10^^100>1
Grideutertethrathoth = E100(#^^#)^##100
Xappugoppatoth / Goppatoth-pow-goxxol = {10,100(2[1]1)2} = (X^^X)^(100^2) & 10 = 10^^100>2
Kubicutethrathoth = E100(#^^#)^###100
Colossugoppatoth / Goppatoth-pow-coloxxol = {10,100(3[1]1)2} = (X^^X)^(100^3) & 10 = 10^^100>3
Goppagongulus / Goppatoth-pow-gongulus = {10,100(0,1[1]1)2} = (X^^X)^(10^100) & 10
Tethragodgathor = E100(#^^#)^#^#100
Goppabongulus / Goppatoth-pow-bongulus = {10,100(0,0,1[1]1)2} = (X^^X)^(10^100^2) & 10
Tethragralgathor = E100(#^^#)^#^##100
Goppatrongulus / Goppatoth-pow-trongulus = {10,100(0,0,0,1[1]1)2} = (X^^X)^(10^100^3) & 10
Tethrathraelgathor = E100(#^^#)^#^###100
Goppagoplexulus / Goppatoth-pow-goplexulus = {10,100((1)1[1]1)2} = (X^^X)^(10^10^100) & 10
Tethragodtothol = E100(#^^#)^#^#^#100
Tethraduliath / Tethra-tethrathoth / Tethrathoth-dopplux / Tethrathoth-dubletetrate / Tethrathoth-ad-tethrathothium / Tethrathoth-ipso-tethrathoth / Tethra-godennaenenintathol / Tethrathoth-ad-godennaenenintatholium / Tethrathoth-ipso-godennaenenintathol = E100(#^^#)^(#^^#)100
What I find cool about this number is that it has 10 valid names. Sbiis even explicitly listed 4 of them.
Goppadutrimiath / Goppatoth-pow-goppatoth = {10,100([1]2)2} = (X^^X)^(X^^100) & 10
Tethradulifact / Tethrathoth-ad-tethrathoth-by-hyperionium = E100(#^^#)^(#^^#*#)100 = E100((#^^#)^(#^^#))^#100
Nope, infact this is smaller than E100(#^^#)^(#^^#)^#100.
Goppadutrimifact / Goppatoth-pow-goppatoth-mul-rootiumium = (X^^X)^(X^^X*100) & 10 = {10,100(1[1]2)2}
I use -ium like Sbiis sometimes uses propinquus to signify where an operations significance ends.
this gives it a distinguishability from Goppatoth-pow-goppatothium-mul-rootium = (X^^X)^(X^^X)*100 & 10.
Goppadutrimi-gongulus / Goppatoth-pow-goppatoth-mul-gongulusiumium = (X^^X)^(X^^X*10^100) & 10 = {10,100(0,1[1]2)2}
Tethraduli-godgathor / Tethrathoth-ad-tethrathoth-by-godgahlahium = E100(#^^#)^(#^^#*#^#)100
Tethrathruliath / Tethrathoth-ad-deutero-tethrathothium = E100(#^^#)^(#^^#*#^^#)100
Goppatretrimiath / Goppatoth-pow-goppatoth-mul-goppatothiumium = (X^^X)^((X^^X)*(X^^100)) & 10 = {10,100([1]3)2}
Tethraterliath / Tethrathoth-ad-trito-tethrathothium = E100(#^^#)^(#^^#*#^^#*#^^#)100
Goppaquatrimiath / Goppatoth-pow-goppatoth-pow-threeiumium = (X^^X)^((X^^X)^2*(X^^100)) & 10 = {10,100([1]4)2}
Tethrapepliath / Tethrathoth-ad-teterto-tethrathothium = E100(#^^#)^(#^^#)^#4
Tethra-exliath / Tethrathoth-ad-pepto-tethrathothium = E100(#^^#)^(#^^#)^#5
Tethra-endekliath / Tethrathoth-ad-dekato-tethrathothium = E100(#^^#)^(#^^#)^#10
Tethra-hecliath = E100(#^^#)^(#^^#)^#99
Stacked-Up / Goppatoth-pow-goppatoth-pow-rootiumium = (X^^X)^(X^^X)^100 & 10 = {10,100([1]0,1)2}
Monster-Giant / Tethrathoth-ad-tethrafactium = E100(#^^#)^(#^^#)^#100
Doesn't its hyperial remind you of a monster's feet.
Hecato-Monster-Giant / Tethrathoth-ad-tethrafact-by-hyperionium = E100(#^^#)^((#^^#)^#*#)100
Tethra-Monster-Giant / Tethrathoth-ad-tethrafact-by-tethrathothium = E100(#^^#)^((#^^#)^#*#^^#)100
Don't get this confused with E100(#^^#)^(#^^#)^#101.
Tethraennaeneninli-Monster-Giant = E100(#^^#)^((#^^#)^#*(#^^#)^#)99
I coined this number for the sake of it.
Monster-Monster-Giant / Tethrathoth-ad-deutero-tethrafactium = E100(#^^#)^((#^^#)^#*(#^^#)^#)100
Monster-Grid / Tethrathoth-ad-grideutertethrathoth = E100(#^^#)^(#^^#)^##100
Monster-Cube / Tethrathoth-ad-kubicutethrathoth = E100(#^^#)^(#^^#)^###100
Monster-Hecateract / Tethrathoth-ad-tethrathoth-ad-godgahlahiumium = E100(#^^#)^(#^^#)^#^#100
Tethrathoth-ad-tethrathoth-ad-godgathoriumium = E100(#^^#)^(#^^#)^#^#^#100
Tethrathoth-ad-tethrathoth-ad-godtotholiumium = E100(#^^#)^(#^^#)^#^#^#^#100
Tethrathoth-trebletetrate = E100(#^^#)^(#^^#)^(#^^#)100
Super Monster-Giant = E100(#^^#)^(#^^#)^(#^^#)^#100
Tethrathoth-quadrupletetrate = E100(#^^#)^(#^^#)^(#^^#)^(#^^#)100
Terrible tethrathoth = E100(#^^#)^^#100
Solid goppatoth = {10,100([2]1)2} = X^^X|2[100] & 10 = (X^^X)^^100 & 10
Behemoth-Giant = E100((#^^#)^^#)^((#^^#)^^#)^#100
This number was never explicitly coined, but used in many -carta- googolisms above tethrateron.
Terrible terrible tethrathoth = E100(((#^^#)^^#)^^#100
Trihemoth-Giant = E100(((#^^#)^^#)^^#)^(((#^^#)^^#)^^#)^#100
This number came to scare the terrible terrible tethrathoth like Behemoth-Giant scared Terrible tethrathoth and Monster-Giant scared tethrathoth.
Triple terrible tethrathoth = E100(((#^^#)^^#)^^#)^^#100 = E100#^^#>#4
Quadruple terrible tethrathoth = E100((((#^^#)^^#)^^#)^^#)^^#100 = E100#^^#>#5
Nonuple terrible tethrathoth = E100#^^#>#10
Goppatetrator = {10,100([0,1]1)2} = X^^X|100 & 10 = X^^(X+1)[100] & 10
Tethriterator / Tethrathoth ba'al / 99-ex-terrible tethrathoth = E100#^^#>#100
The "limit" of LECEN (Limited Extension Cascading-E Notation)
Convestated goppatoth = 100^^(100+1) & 10
Great and terrible tethrathoth = E100#^^#>#100#2
Terrible tethriterator = E100(#^^#>#)^^#100 = E100#^^#>(#+1)100
and this is NOT equal to #^^#>#[101].
Terrible terrible tethriterator = E100((#^^#>#)^^#)^^#100 = E100#^^#>(#+2)100
Tethriditerator = E100(#^^#>#)^^#>#100 = E100#^^#>(#+#)100
Tethritriterator = E100((#^^#>#)^^#>#)^^#>#100 = E100#^^#>(#+#+#)100
Tethrigriditerator = E100#^^#>##100
Tethricubiculator = E100#^^#>###100
Duconvestated goppatoth = 100^^(100+2) & 10
Tethrispatialator = E100#^^#>#^#100
Triconvestated goppatoth = 100^^(100+3) & 10
Tethrisuperspatialator = E100#^^#>#^#^#100
Dustaculated-tethrathoth = E100#^^#>#^^#100
Gippatoth = X^^2X & 100
Tristaculated-tethrathoth = E100#^^#>#^^#>#^^#100
Gappatoth = X^^3X & 100
Geepatoth = X^^4X & 100
Gowpatoth = X^^5X & 100
Cuz' I can.
Guppatoth = X^^6X & 100
Gaipatoth = X^^7X & 100
Tethracross / Tethasquare / Hectastaculated-tethrathoth = E100#^^##100
This number has an array structure of X^^X^2.
Boppatoth = X^^X^2 & 100
Giaquixul = 200![200,200,200,200,200]
Berlin Wall = E100#^^##100,000,000
Tethracruxibong = E100,000,000#^^##100,000,000
Just a "littlebit" bigger than Berlin Wall.
Fish number 6 (approx. E63#^^##63#63 in xE^)
Again one of those fish numbers by kyodaisuu (巨大数 in japanese).
Tethracruxifact = E100(#^^##)^#100
Tethracross-dubletetrate = E100(#^^##)^(#^^##)100
Tethracross-trebletetrate = E100(#^^##)^(#^^##)^(#^^##)100
Terrible Tethracross = E100(#^^##)^^#100
Territerated Tethracross = E100(#^^##)^^#>#100
Tethrastaculated-tethritertethracross = E100(#^^##)^^#>#^^#100
Tethriterstaculated-tethritertethracross = E100(#^^##)^^#>#^^#>#100
Dustacutethraturreted-tethritertethracross = E100(#^^##)^^#>#^^#>#^^#100
Tethracross-turreted-tethritertethracross = E100(#^^##)^^#>(#^^##)100
Territethracross-turreted-tethritertethracross = E100(#^^##)^^#>(#^^##)^^#100
Tristaculated-tethritertethracross = E100(#^^##)^^#>(#^^##)^^#>(#^^##)^^#100
Secundotethrated-tethracross = E100(#^^##)^^##100
Thrice-tethrasecunda = E100((#^^##)^^##)^^##100
I like the latinish english sound of this number
Quatrice-tethrasecunda = E100#^^##>#4
Quincice-tethrasecunda = E100#^^##>#5
Decice-tethrasecunda = E100#^^##>#10
Tethritercross = E100#^^##>#100
Dustaculated-tethracross = E100#^^##>#^^##100
Tristaculated-tethracross = E100#^^##>#^^##>#^^##100
Tethracubor / tethratertia = E100#^^###100
Troppatoth = X^^X^3 & 100
Terrible tethracubor = E100(#^^###)^^#100
Terrisquared tethracubor = E100(#^^###)^^##100
Dustaculated-tethrasquareditercubor = E100(#^^###)^^##>(#^^###)^^##100
Tethraducubor = E100(#^^###)^^###100
Tethratricubor = E100((#^^###)^^###)^^###100
Tethritercubor = E100#^^###>#100
Dustaculated-tethracubor = E100#^^###>#^^###100
Tristaculated-tethracubor = E100#^^###>#^^###>#^^###100
Tethrateron = E100#^^####100
Quadroppatoth = X^^X^4 & 100
Tethrapeton = E100#^^#^#5
Quintoppatoth = X^^X^5 & 100
Tethrahexon = E100#^^#^#6
Tethrahepton = E100#^^#^#7
Tethra-ogdon = E100#^^#^#8
Tethra-ennon = E100#^^#^#9
Tethra-dekon = E100#^^#^#10
Goppatope = 10^^10^100 & 10
Tethratope = E100#^^#^#100
Comparable to a X^^X^X array.
Tethratopofact = E100(#^^#^#)^#100
Terrible tethratope = E100(#^^#^#)^^#100
Terrisquared tethratope = E100(#^^#^#)^^##100
Terricubed tethratope = E100(#^^#^#)^^###100
Tethradeutertope = E100(#^^#^#)^^#^#100
Tethratritotope = E100((#^^#^#)^^#^#)^^#^#100
Tethritertope = E100#^^(#^#)>#100
Tethrigriditertope = E100#^^(#^#)>##100
Tethricubicultope = E100#^^(#^#)>###100
Tethrispatialtope = E100#^^(#^#)>#^#100
Tethrisuperspatialtope = E100#^^(#^#)>#^#^#100
Tethrathothiturreted-tethratope = E100#^^(#^#)>#^^#100
Dustaculated-tethratope = E100#^^(#^#)>#^^(#^#)100
Tristaculated-tethratope = E100#^^(#^#)>#^^(#^#)>#^^(#^#)100
Tethratopothoth = E100#^^(#^#*#)100
Tethratoposquaror = E100#^^(#^#*##)100
Tethratopocubor = E100#^^(#^#*###)100
Tethratopodeus = E100#^^(#^#*#^#)100
Tethratopotruce = E100#^^(#^#*#^#*#^#)100
Tethralattitope = E100#^^#^##100
Tethralattitopodeus = E100#^^(#^##*#^##)100
Tethralattitopodeucithoth = E100#^^(#^##*#^##*#)100
Triakulus = 3^^^3 & 3 = 3 & 3 & 3 = {3,3/2} = {L,1}3,3
The first non-degenerate legion array. Though this is small for a legion.
Want to see it's decomposition? See it here
Tethralattitopotruce = E100#^^(#^##*#^##*#^##)100
Tethracubitope = E100#^^#^###100
Tethrato-godgathor = E100#^^#^#^#100
Tethrato-godtothol = E100#^^#^#^#^#100
Tethrarxitri = E100#^^#^^#100
Goppatarxitri = 10^^^3 & 10
Blooshker bundle = E100(#^^#^^100)^^#100
This number is much much less than a "terrible tethrato-tethrathoth". actually the true definition is
E100(#^^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#)^^#100. and that is smaller than...
Tethrato-tethrathol = E100#^^(#^#^^#)100 = E100#^^#^^#101
Tethrato-tethraduthol = E100#^^(#^#^(#^^#))100 = E100#^^#^^#102
Grand tethrato-tethrathoth = E100#^^#^^#100#2
Tethrato-tethracross = E100#^^#^^##100
Tethrato-tethracubor = E100#^^#^^###100
Tethrato-tethratope = E100#^^#^^#^#100
Brother-Giant / Tethrato-Hyper-tethratope = E100#^^#^#^^#^#100
I think A more systematic name would be Tethrato-Hyper-Tethratope.
Hyper-googolism = E[base]#^[googolism_hyperial][prime]
Tethrato-googolism = E[base]#^^[googolism_hyperial][prime]
Pentacthulto-googolism = E[base]#^^^[googolism_hyperial][prime]
Hexacthulto-googolism = E[base]#^^^^[googolism_hyperial][prime]
...
Grand tethrato-tethratope = E100#^^#^^#^#100#2
Tethrato-tethrato-godgathor = E100#^^#^^#^#^#100
Goppatarxitet = 10^^^4 & 10
Tethrarxitet = E100#^^#^^#^^#100
Super Brother-Giant / Tethrato-Hyper-Tethrato-Hyper-Tethratope = E100#^^#^#^^#^#^^#^#100
Tethrarxipent = E100#^^^#5
Goppatarxideck = 10^^^10 & 10
Tethrarxideck = E100#^^^#10
Pentacthulhum = E100#^^^#100
Kungulus = X^^^100 & 10
Finally another original Bowerism.
Gammaxul = 200![200(1)2]
This number was actually coined by redstonepillager.
Great Wall = E100#^^#^^#>#^^#^^#>#^^#^^#>...>#^^#^^#>#^^#^^#>#^^#^^#100 with 10,000,000,000 #^^#^^#'s
~ E100#^^^#10,000,000,002
Weird irregular Saibianism.
Grand pentacthulhum = E100#^^^#100#2
Grangol-carta-pentacthulhum = E100#^^^#100#100
Pentacthulhutri = E100#^^^#100#^^^#100
Pentacthulhum-by-hyperion = E100#^^^#*#100
Deutero-pentacthulhum = E100#^^^#*#^^^#100
Pentacthulhufact = E100(#^^^#)^#100
Terrible pentacthulhum = E100(#^^^#)^^#100
Terrisquared pentacthulhum = E100(#^^^#)^^##100
Terricubed pentacthulhum = E100(#^^^#)^^###100
Territoped pentacthulhum = E100(#^^^#)^^#^#100
Pentacthulhutetripso-godgathor = E100(#^^^#)^^#^#^#100
Pentacthulhutetripso-tethrathoth = E100(#^^^#)^^#^^#100
Pentacthulhutetripso-tethrarxitri = E100(#^^^#)^^#^^#^^#100
Dupentated-pentacthulhum = E100(#^^^#)^^(#^^^#)100
Tripentated-pentacthulhum = E100(#^^^#)^^(#^^^#)^^(#^^^#)100
Pentacthuldugon = E100(#^^^#)^^^#100
Pentacthultrigon = E100((#^^^#)^^^#)^^^#100
Pentacthultetragon = E100(((#^^^#)^^^#)^^^#)^^^#100
Pentacthulpentagon = E100((((#^^^#)^^^#)^^^#)^^^#)^^^#100
And then hexagon, heptagon, octagon, etc
Pentacthuliterator = E100#^^^#>#100
Comparable to a X^^^(X+1) array of 100s
Great and horrible pentacthulhum = E100#^^^#>#100#2
Gugold-carta-pentacthuliterator = E100#^^^#>#100##100
Hugexul = 200![200(1)200]
Comparable to a X^^^(X+1) array of 200s
Dustaculated-pentacthulhum = E100#^^^#>#^^^#100
Tristaculated-pentacthulhum = E100#^^^#>#^^^#>#^^^#100
Pentacthulcross = E100#^^^##100
Icosastaculated-pentacthulcross = E100#^^^###20
Menger sponge = 20^3###^^^###23
Pentacthulcubor = E100#^^^###100
Pentacthulteron = E100#^^^####100
Pentacthulpeton = E100#^^^#^#5
Pentacthuldekon = E100#^^^#^#10
Pentacthultope = E100#^^^#^#100
Pentacthulitertope = E100#^^^(#^#)>#100
Pentacthultopothoth = E100#^^^(#^#*#)100
Pentacthultopodeus = E100#^^^(#^#*#^#)100
Pentacthulattitope = E100#^^^#^##100
Pentacthulto-godgathor = E100#^^^#^#^#100
Pentacthulto-tethrathoth = E100#^^^#^^#100
Pentacthulto-tethrarxitri = E100#^^^#^^#^^#100
Pentacthularxitri = E100#^^^#^^^#100
Pentacthularxitet = E100#^^^#^^^#^^^#100
Pentacthularxipent = E100#^^^^#5
Pentacthularxideck = E100#^^^^#10
Hexacthulhum = E100#^^^^#100
Quadrunculus = X^^^^100 & 10
Grand hexacthulhum = E100#^^^^#100#2
Grangol-carta-hexacthulhum = E100#^^^^#100#100
Hexacthulhutri = E100#^^^^#100#^^^^#100
Deutero-hexacthulhum = E100#^^^^#*#^^^^#100
Hexacthulhufact = E100(#^^^^#)^#100
Dutetrated hexacthulhum = E100(#^^^^#)^(#^^^^#)100
Terrible hexacthulhum = E100(#^^^^#)^^#100
Horrible hexacthulhum = E100(#^^^^#)^^^#100
Duhexated hexacthulhum = E100(#^^^^#)^^^(#^^^^#)100
Hexadeucthulhum / horrendous hexacthulhum = E100(#^^^^#)^^^^#100
Hexatricthulhum / horrendous horrendous hexacthulhum = E100((#^^^^#)^^^^#)^^^^#100
Hexacthuliterator = E100#^^^^#>#100
Comparable to a X^^^^(X+1) array, and finally another hollomism in a moment...
Great and horrendous hexacthulhum = E100#^^^^#>#100#2
Hugebixul = 200![200(1)200(1)200]
approximately E200#^^^^#>#200##200.
Dustaculated hexacthulhum = E100#^^^^#>#^^^^#100
Hexacthulcross = E100#^^^^##100
Hexacthulcubor = E100#^^^^###100
Hexacthultope = E100#^^^^#^#100
Hexacthulto-tethrathoth = E100#^^^^#^^#100
Hexacthulto-pentacthulhum = E100#^^^^#^^^#100
Hexacthularxitri = E100#^^^^#^^^^#100
Hexacthularxitet = E100#^^^^#^^^^#^^^^#100
Tripentatrix = 5^^^^^5 & 5
Heptacthulhum = E100#{5}#100
Heptacthulfact = E100(#{5}#)^#100
Heptadeucthulhum = E100(#{5}#){5}#100
Heptacthuliterator = E100#{5}#>#100
Hugetrixul = 200![200(1)200(1)200(1)200]
Dustaculated heptacthulhum = E100#{5}#>#{5}#100
Heptacthulcross = E100#{5}##100
Heptacthultope = E100#{5}#^#100
Heptacthularxitri = E100#{5}#{5}#100
Heptacthularxitet = E100#{5}#{5}#{5}#100
Ogdacthulhum = E100#{6}#100
Hugequaxul = 200![200(1)200(1)200(1)200(1)200]
Ennacthulhum = E100#{7}#100
Dekacthulhum = E100#{8}#100
Endekacthulhum = E100#{9}#100
Tridecatrix = {10,10,10} & 10 = 3 & 10 & 10
Goliath = E100#{10}#100
Or a "dodekacthulhum".
Triadekacthulhum = E100#{11}#100
Tetradekacthulhum = E100#{12}#100
Pentadekacthulhum = E100#{13}#100
Hexadekacthulhum = E100#{14}#100
now lets coin some googolisms...
Heptadekacthulhum = E100#{15}#100
I coined this (I'm TheInfinitySeeker)
Ogdadekacthulhum = E100#{16}#100
Ennadekacthulhum = E100#{17}#100
Icosacthulhum = E100#{18}#100
Enicosacthulhum = E100#{19}#100
And for some numbers not coined by me...
Bogligog = E100#{20}#100
Golligog = E100#{50}#100
Humongulus = {10,10,100} & 10
The smallest bowerism above this is a golapulus, which is MUCH MUCH BIGGER!!!
Godsgodgulus = E100#{#}#100
Joeligog = E100#{#}#203
Gigantorgog = E100#{#}#500
Pseuligog = E100#{#}#44,435,622
Colossigog = E100#{#}#50,000,000,000,000,000
Grand godsgodgulus = E100#{#}#100#2
Grangol-carta-godsgodgulus = E100#{#}#100#100
for the sake of it, let's go through some of the preliminaries... quickly...
Godsgodgulus-by-deuteron = E100#{#}#100#{#}#100
Godsgodgulus-by-hyperion = E100#{#}#*#100
Deutero-godsgodgulus = E100#{#}#*#{#}#100
Godsgodgulfact = E100(#{#}#)^#100
Terrible godsgodgulus = E100(#{#}#)^^#100
Horrible godsgodgulus = E100(#{#}#)^^^#100
Horrendous godsgodgulus = E100(#{#}#)^^^^#100
Godsgodeugulus = E100(#{#}#){#}#100
Godsgotrigulus = E100((#{#}#){#}#){#}#100
Godsgodguliterator = E100#{#}#>#100
Grand godsgodguliterator / Great and blasphemous godsgodgulus = E100#{#}#>#100#2
Dustaculated-godsgodgulus = E100#{#}#>#{#}#100
Tristaculated-godsgodgulus = E100#{#}#>#{#}#>#{#}#100
Godsgodgulcross = E100#{#}##100
Godsgodgulcubor = E100#{#}###100
Godsgodgulteron = E100#{#}####100
Godsgodgulpeton = E100#{#}#####100
Godsgodguldekon = E100#{#}#^#10
Godsgodgultope = E100#{#}#^#100
Godsgodgulto-tethrathoth = E100#{#}#^^#100
Godsgodgulto-pentacthulhum = E100#{#}#^^^#100
Godsgodgulto-hexacthulhum = E100#{#}#^^^^#100
Godsgodgularxitri = E100#{#}#{#}#100
Godsgodgularxitet = E100#{#}#{#}#{#}#100
Godsgodgularxipent = E100#{#+1}#5
Godsgodgularxideck = E100#{#+1}#10
Godsgodgulhenus = E100#{#+1}#100
Many of the next numbers are by cookie fonster, or "fonsterisms"
Godsgodguldius = E100#{#+2}#100
Godsgodgultrius = E100#{#+3}#100
Secundo-godsgodgulus = E100#{#+#}#100
Tertio-godsgodgulus = E100#{#+#+#}#100
Godsgridgulus = E100#{##}#100
Godscubulus = E100#{###}#100
Centurion / Godsgodgultro-godgahlah = E100#{#^#}#100
This sounds so roman. more systematically as "godsgodgultro-godgahlah"
Super centurion / Godsgodgultro-tethrathoth = E100#{#^^#}#100
Or "godsgodgultro-tethrathoth".
Pentacthulhu-centurion / Godsgodgultro-pentacthulhum = E100#{#^^^#}#100
Ohmygosh-ohmygosh-ohmygooosh / Godsgodgultarxitri = E100#{#{#}#}#100
Ohmygosh-ohmygosh-ohmygosh-ohmygooosh / Godsgodgultarxitet = E100#{#{#{#}#}#}#100
Blasphemorgulus = E100#{{1}}#100 = E100{#,#,1,2}100
Gonguldeus = {10,100,1,2} & 10
now the array structure itself is larger than the graham's number, or the layman's unimanigable! OMG.
Grand blasphemorgulus = E100#{{1}}100#2 = E100{#,#,1,2}100#2
More preliminaries are in my Blasphemorgulus regiment. however here we will zoom to.
Godsgoblasphemorgulus = E100(#{{1}}#){#}#100
E100(#{{1}}#){#{{1}}#}#100
Or E100A{A}#100 where A is #{{1}}#.
Blasphemormygosh-blasphemormygosh = E100(#{{1}}#){#{{1}}#}(#{{1}}#)100
Or E100A{A}A100 in our A notation.
Blasphemormygosh-blasphemormygosh-blasphemormygosh = E100(#{{1}}#){(#{{1}}#){#{{1}}#}(#{{1}}#)}(#{{1}}#)100
Or E100A{A{A}A}A100. The sequence is so messy!
Blasphedeumorgulus / Tweilasphemorgue = E100(#{{1}}#){{1}}#100
See? E100A{{1}}#100 in other words, and that A is #{{1}}#. Makes sense now?!?
Blasphetrimorgulus / Frielasphemorgue = E100((#{{1}}#){{1}}#){{1}}#100
the sequence continues with fioril-, finna-, sexa-, sjournala-, attala-, neiula-, tena-, and we can skip to...
Blasphemorguliterator / Hundrelasphemorgue = E100#{{1}}#>#100 = E100{#,#+1,1,2}100
We can definitely iterate a blasphemorgulus.
Enormaxul = 200![200(2)200]
Finally another HAN.
Great and blasphemous blasphemorgulus = E100#{{1}}#>#100#2 = E100{#,#+1,1,2}100#2
FOR THE SAKE OF IT.
Blasphemous blasphemorguliterator = E100(#{{1}}#>#){{1}}#100 = E100{{#,#+1,1,2},#,1,2}100
I coined this number.
Blasphemorgulditerator = E100#{{1}}#>(#+#)100 = E100{{#,#+1,1,2},#+1,1,2}100
Blasphemorgultriterator = E100#{{1}}#>(#+#+#)100 = E100{{{#,#+1,1,2},#+1,1,2},#+1,1,2}100
Blasphemorgulgriditerator / Ludicriss = E100#{{1}}#>##100 = E100&(1)100
You might be wondering... why use that ampersand. why not just use {#,#+2,1,2}. that's becuase {#,#+2,1,2} is BIGGER than this. Actually we can stop using this ad hoc notation.
Blasphemorgulcubiculator = E100#{{1}}#>###100
Blasphemorgulspatialator = E100#{{1}}#>#^#100
Blasphemorgulsuperspatialator = E100#{{1}}#>#^#^#100
Blasphemorgulto-tethrathoth = E100#{{1}}#>#^^#100
Blasphemorgulto-pentacthulhum = E100#{{1}}#>#^^^#100
Blasphemorgulto-hexacthulhum = E100#{{1}}#>#^^^^#100
Blasphemorgulto-godsgodgulus = E100#{{1}}#>#{#}#100
Dustaculated-blasphemorgulus = E100#{{1}}#>#{{1}}#100
Blasphemorgulus-by-deuteron-turreted-blasphemorgulus = E100#{{1}}#>(#{{1}}#+#{{1}}#)100 = E100(#{{1}}#>#{{1}}#)>#{{1}}#100
Blasphemorgulfact-turreted-blasphemorgulus = E100#{{1}}#>(#{{1}}#)^#100
Terriblasphemorgulus-turreted-blasphemorgulus = E100#{{1}}#>(#{{1}}#)^^#100
Blasphedeumorgulus-turreted-blasphemorgulus = E100#{{1}}#>(#{{1}}#)#{{1}}#100
Blasphemorguliterator-turreted-blasphemorgulus = E100#{{1}}#>#{{1}}#>#100
Tristaculated-blasphemorgulus = E100#{{1}}#>#{{1}}#>#{{1}}#100
Hectastaculated-blasphemorgulus = E100#{{1}}##100
Sbiis saibian's still working on the notation beyond this point.
So most of the named numbers hereafter are not Saibianisms. some are XRQ's, some Douglas Shamlin Jr., some Username5243, some RedstonePillager, etc.
Blasphemorgulcubor = E100#{{1}}###100
Blasphemorgultope = E100#{{1}}#^#100
Blasphemorgularxitri = E100#{{1}}#{{1}}#100
Blasphemorgularxitet = E100#{{1}}#{{1}}#{{1}}#100
Mulporatrix = {10,100,2,2} & 10
Blasphemordeugulus = E100#{{2}}#100
Powporatrix = {10,100,3,2} & 10
Blasphemortrigulus = E100#{{3}}#100
Terporatrix = {10,100,4,2} & 10
Blasphemortetragulus = E100#{{4}}#100
Grand tridecatrix = {10,10,10,2} & 10 = {10,10,0,2} & 10
Humingulus = {10,10,100,2} & 10 = {10,100,0,2} & 10
Deusus-godsgodgogle = E100#{{#}}#100
Gongultreus / Corplodatrix = {X,100,1,3} & 10
Now there are a corplodal 10's in the array structure itself!! OMG
Trilasphemorgulus = E100#{{{1}}}#100
Enormabixul = 200![200(2)200(2)200]
Comparable to {X,199X,1,3} & 200.
Humangulus = {10,10,100,3} & 10 = {10,100,0,4} & 10
Treusus-godsgodgogle = E100#{{{#}}}#100
Gongulquadeus / Cordetatrix = {X,100,1,4} & 10
Enormatrixul = 200![200(2)200(2)200(2)200]
Humeengulus = {10,10,100,4} & 10 = {10,100,0,5} & 10
Quadeusus-godsgodgogle = E100#{{{{#}}}}#100
Corpentatrix = {X,100,1,5} & 10
Enormaquaxul = 200![200(2)200(2)200(2)200(2)200]
Corhexatrix = {X,100,1,6} & 10
Generatrix / Tetradecatrix = {10,10,10,10} & 10 = 4 & 10 & 10
Coined by CookieFonster. in the analogy, tridecal:tridecatrix::general?
Incredulus = {10,10,10,100} & 10
Blasphemorgulquo-tethrathoth = E100{#,#,1,#^^#}100
Troogogoogotrix = {10,100,1,1,2} & 10
Using my own coined googolisms in my system to coin more of my own coined googolisms is allowed of course :D
Troogogiggotrix = {10,100,2,1,2} & 10
and so on...
Troogoboogotrix = {10,10,100,1,2} & 10
Incridulus = {10,10,10,100,2} & 10
Triggogoogotrix = {10,100,1,1,3} & 10
Incradulus = {10,10,10,100,3} & 10
Traggogoogotrix = {10,100,1,1,4} & 10
Increedulus = {10,10,10,100,4} & 10
Pentadecatrix = {10,10,10,10,10} & 10 = 5 & 10 & 10
Tercredulus = {10,10,10,10,100} & 10
Hexadecatrix = {10,10,10,10,10,10} & 10 = 6 & 10 & 10
Pencredulus = {10,10,10,10,10,100} & 10
Heptadecatrix = {10,10,10,10,10,10,10} & 10 = 7 & 10 & 10
Excredulus = {10,10,10,10,10,10,100} & 10
Octadecatrix = {10,10,10,10,10,10,10,10} & 10 = 8 & 10 & 10
Epcredulus = {10,10,10,10,10,10,10,100} & 10
Ennadecatrix = {10,10,10,10,10,10,10,10,10} & 10 = 9 & 10 & 10
Ogcredulus = {10,10,10,10,10,10,10,10,100} & 10
Iteratrix / Lineatrix = {10,10,10,10,10,10,10,10,10,10} & 10 = 10 & 10 & 10 = {10,3/2}
Goobawamba = {10,100(1)2} & 10 = 100 & 10 & 10
AND FINALLY WE REACHED THE SVO!!!
Ominongulus = E100{#,#(1)2}100
Destruxul = 200![200(200)200]
Grand ominongulus = E100{#,#(1)2}100#2
Ominongulfact = E100{#,#(1)2}^#100
Blasphemorgulated ominongulus = E100{{#,#(1)2},#,1,2}100
Ominondeugulus = E100{{#,#(1)2},#(1)2}100
Ominonguliterator = E100{#,#|2}>#100
Hectastaculated-ominongulus = E100{#,##|2}100
Lower bound for TREE(3) ~ {X,X^4|2} & 100
and we reach... this famous number... TREE(3).
Ominongultope = E100{#,#^#|2}100
Ominongularxihect = E100{#,#(1)2;#,#,#+1}100 = E100{#,#,2|2}100
Using my new Punctuation-Extended Cascading-E Notation cause I can.
Ominongultarxitri = E100{#,#(1)2;#,#,{#,#(1)2}}100 = E100{#,#,3,2|2}100
Ominongultarxihect = E100{#,#(1)2;#,#,#,#+1}100 = E100{#,#,#,2|2}100
Secundo-ominongulus = E100{#,#|3}100
Ominongulhyperarxitri = E100{#,#(1)2;#,#?{#,#(1)2}}100
Ominongulhyperarxihect = E100{#,#¤2}100
TREE(1000) (lower bound)
{X,X+1(1)2} & 10 = {X,2,1,1,1,...,1|1,2} & 10
{X,X+2(1)2} & 10 = {X,2,1,1,1,...,1|1,1,2} & 10
{X,X+3(1)2} & 10 = {X,2,1,1,1,...,1|1,1,1,2} & 10
{X,2X(1)2} & 10 = {X,2,1,1,1,...,1|1,1,1,...,2} & 10
{X,3X(1)2} & 10 = {X,2,1,1,1,...,1|1,1,1,...,1|1,1,1,...,2} & 10
{X,4X(1)2} & 10 = {X,2,1,1,1,...,1|1,1,1,...,1|1,1,1,...,1|1,1,1,...,2} & 10
{X,X^2(1)2} & 10 = {X,2,1,...,1|1,...,1|1,...,1|1,...,1|... ... ...||2} & 10
Lower bound for SSCG(3)
And another lower bound.
{X,(X^2)+1(1)2} & 10 = {X,2,1,...,1|1,...,1|1,...,1|1,...,1|... ... ...||1,2} & 10
{X,X^3(1)2} & 10 = {X,2,1,...,1|1,...,1|1,...,1|1,...,1|... ... ...||1,...,1|1,...,1|1,...,1|1,...,1|... ... ...||1,...,1|1,...,1|1,...,1|1,...,1|... ... ...||... ... ... ... ... ... ... ... ...|||2} & 10
The infinity barrier thing is getting unwieldy. Atleast by know you understand whats going on so no more barriers
{X,X^X(1)2} & 10
{X,X^X^X(1)2} & 10
{X,X^^X(1)2} & 10
{X,X^^^X(1)2} & 10
{X,{X,X,1,2}(1)2} & 10
{X,3,2(1)2} & 10
Destrubixul = 200![200([200(200)200])200]
{X,4,2(1)2} & 10
Destrutrixul = 200![200([200([200(200)200])200])200]
{X,5,2(1)2} & 10
Destruquaxul = 200![200([200([200([200(200)200])200])200])200]
Gibbawamba = {10,100,2(1)2} & 10
A gibbol tens! We have infact already reached the Large Veblen Ordinal (LVO for short).
Omidicthulhum / Ominoustrothoth / Perplexulus = E100{#,#,2(1)2}100
Gabbawamba = {10,100,3(1)2} & 10
Omitricthulhum = E100{#,#,3(1)2}100
Geebawamba = {10,100,4(1)2} & 10
Boobawamba = {10,10,100(1)2} & 10
Troobawamba = {10,10,10,100(1)2} & 10
Quadroobawamba = {10,10,10,10,100(1)2} & 10
We could continue with all the intermediates like Bibbawamba, Quintoobawamba, etc. but it's too obvious.
Goobawantra = {10,100(1)3} & 10
We could have Gibbawantra, Gabbawantra, Boobawantra, etc. but I'm not gonna list them.
Goobawanquadra = {10,100(1)4} & 10
Goobawanquinta = {10,100(1)5} & 10
Emperatrix = {X,X(1)10} & 10 = 2 + 1 & 10 & 10
Don't get this confused with 3 & 10 & 10 when you look at the array structure-structure
Gossablossla = {X,X(1)100} & 10
Hecatonchirechelon = E100{#,#(1)#}100
Ominongulated hecatonchirechelon = E100{{#,#(1)#},#|2}100
Hectastaculated-hecatonchirechelon = E100{#,#(1)#}>{#,#(1)#}>... 100 {#,#(1)#}s... >{#,#(1)#}>{#,#(1)#}100
{X,3(1)1,2} & 10 ~ {X,2(1){X,2(1)X}} & 10
{X,X(1)1,2} & 10 ~ X_2 + 1 & 10 & 10
Goomafiltra = {10,100(1)1,2} & 10 ~ X_2+1[10] & 100 & 10
based on gooftol.
Goomafelba = {10,100(1)2,2} & 10
Goomafeltra = {10,100(1)3,2} & 10
Gissablossla = {X,X(1)100,2} & 10
Gassablossla = {X,X(1)100,3} & 10
Geesablossla = {X,X(1)100,4} & 10
Hyperlatrix = {X,X(1)10,10} & 10 = 2 + 2 & 10 & 10
Again, dont get this confused with 4 & 10 & 10.
Mossablossla = {X,X(1)10,100} & 10
Bossablossla = {X,X(1)10,10,100} & 10
Trossablossla = {X,X(1)10,10,10,100} & 10
Quadrossablossla = {X,X(1)10,10,10,10,100} & 10
Diteratrix = {X,X(1)(1)2} & 10 = 10 + 10 & 10 & 10
Cause why not.
Goobaduamba = {X,100(1)(1)2} & 10 = 100 + 100 & 10 & 10
Gibbaduamba = {X,100,2(1)(1)2} & 10
Boobaduamba = {X,X,100(1)(1)2} & 10
Goobaduantra = {X,100(1)(1)3} & 10
Goobaduanquadra = {X,100(1)(1)4} & 10
Admiratrix = {X,X(1)(1)X} & 10 = 100 + 100 + 1 & 10 & 10
Gossaduosslia = {X,X(1)(1)100} & 10
Mossaduosslia = {X,X(1)(1)X,100} & 10
Dutritriatrix = {3,3(2)2} & 3 = 3 ^ 2 & 3
Dutridecatrix = {10,3(2)2} & 3 = 3 * 3 & 10
Bossaduosslia = {X,X(1)(1)X,X,100} & 10
Trossaduosslia = {X,X(1)(1)X,X,X,100} & 10
Triteratrix = {X,X(1)(1)(1)2} & 10 = 10 * 3 & 10
Goobatriombia = {X,100(1)(1)(1)2} & 10 = 100 + 100 + 100 & 10 & 10
Gossatrimbdia = {X,X(1)(1)(1)100} & 10
Mossatrimbdia = {X,X(1)(1)(1)X,100} & 10
Dutetradecatrix = {10,4(2)2} & 10 = 4 * 4 & 10
Quadriteratrix = {X,X(1)(1)(1)(1)2} & 10 = 10 * 4 & 10
Goobaquardimbia = {X,100(1)(1)(1)(1)2} & 10 = 100 * 4 & 10 & 10
4 * 100 & 4 & 10 IS ACTUALLY BIGGER! in fact it would be {4,100(2)2} & 10. this is {100,4(2)2} & 100 if you replace 10 with 100.
Goobaquindingia = 100 * 5 & 10 & 10
Goobasesixtia = 100 * 6 & 10 & 10
Goobasebiptia = 100 * 7 & 10 & 10
Goobagogdiktia = 100 * 8 & 10 & 10
Goobanogdiktia = 100 * 9 & 10 & 10
Xaplorgulus = {X,X(2)2} & 10 = 10 * 10 & 10 & 10 = 10 ^ 2 & 10 & 10
Goobadektimtia = 100 * 10 & 10 & 10
Goobagundektimtia = 100 * 11 & 10 & 10
and so on with duo-, tre-, quattuor-, ...
Goobavigesmia = 100 * 20 & 10 & 10
Goxxablorg = {X,100(2)2} & 10 = 100 * 100 & 10 & 10 = 100 ^ 2 & 10 & 10
Gixxablorg = {X,100,2(2)2} & 10
Grand goxxablorg = {X,100(2)3} & 10
Goxxadworg = {X,100(2)(2)2} & 10 = 100 * 100 * 2 & 10 & 10
Dimentriatrix = {3,3(3)2} & 3 = 3 * 3 * 3 & 10 & 10
Goxxathrorg = {X,100(2)(2)(2)2} & 10 = 100 * 100 * 3 & 10 & 10
Goxxaquorg = {X,100(2)(2)(2)(2)2} & 10 = 100 * 100 * 4 & 10 & 10
Goxxaquirg = 100 * 100 * 5 & 10 & 10
Goxxasorg = 100 * 100 * 6 & 10 & 10
Cosslorgulus = {X,X(3)2} & 10 = 10 * 10 * 10 & 10 & 10 = 10 ^ 3 & 10 & 10
Coxxablorg = {X,100(3)2} & 10 = 100 * 100 * 100 & 10 & 10 = 100 ^ 3 & 10 & 10
Tesslorgulus = {X,X(4)2} & 10 = 10 * 10 * 10 * 10 & 10 & 10 = 10 ^ 4 & 10 & 10
Pesslorgulus = {X,X(5)2} & 10 = 10 ^ 5 & 10 & 10
Hesslorgulus = {X,X(6)2} & 10 = 10 ^ 6 & 10 & 10
Zesslorgulus = {X,X(7)2} & 10 = 10 ^ 7 & 10 & 10
Yosslorgulus = {X,X(8)2} & 10 = 10 ^ 8 & 10 & 10
Rosslorgulus / Brosslorgulus = {X,X(9)2} & 10 = 10 ^ 9 & 10 & 10
Name change! Due to the new SI prefix ronna- for 2024.
Quesslorgulus / Gosslorgulus / Dimendecatrix = {X,X(10)2} & 10 = 10 ^ 10 & 10 & 10 = 2 & 10 & 10 & 10
We can coin quesslorgulus thinking about quetta- + cosslorgulus.
Dimendecatrix is the analogy tridecal:tridecatrix::dimendecal.
Mosslorgulus / Vamosslorgulus = {X,X(20)2} & 10 = 10 ^ 20 & 10 & 10
Hasslorgulus = {X,X(30)2} & 10 = 10 ^ 30 & 10 & 10
Kysslorgulus = {X,X(40)2} & 10 = 10 ^ 40 & 10 & 10
Pisslorgulus = {X,X(50)2} & 10 = 10 ^ 50 & 10 & 10
Sasslorgulus = {X,X(60)2} & 10 = 10 ^ 60 & 10 & 10
Pexxlorgulus = {X,X(70)2} & 10 = 10 ^ 70 & 10 & 10
Nisslorgulus = {X,X(80)2} & 10 = 10 ^ 80 & 10 & 10
Zozzlorgulus = {X,X(90)2} & 10 = 10 ^ 90 & 10 & 10
Golapulus = {X,X(100)2} & 10 = 10 ^ 100 & 10 & 10
YES AND WE FINALLY MADE IT to the next bowersism after a humongulus.
A golapulus, when comparing it against a humongulus, is SUCH A NEW KIND OF NUMBER. While a humongulus isn't too problematic to define under any BEAF variant, a golapulus reaches past the first brick wall you hit when trying to define BEAF and THEN some!
A humongulus is of order type φ(w,0,0) in the fast-growing hierarchy. But a golapulus, the VERY NEXT Bowerian number after a humongulus is believed to be of order type of ψ(ΩΩ^Ω^w) - that skips several important ordinals like gamma-0, the SVO, and possibly the LVO! There are no Bowerian googolisms of order type of any of these three ordinals, only a humongulus at a much smaller order type and a golapulus at a much higher order type!
Why was Jonathan Bowers able to make this jump? Because of the cleverness of the array of operator. With just the array of operator added to BEAF, we can logically go from epsilon-zero all the way to either the LVO or θ(Ωw), which represents the order type of numbers like 10&10&10&10&10.....&10 with 100 10's! That's a huge leap alright!
However, the array of operator has a HUGE problem: it's VERY informally defined. In fact, it's so informal that it's hard to decide how exactly to even define numbers with the operator! I myself am currently trying to figure out how to go further than the SVO with BEAF, which still doesn't reach the limit of the array of operator.
In any case, the next Bowerian googolism is a golapulusplex, a golapulus array of tens (and an exception to Bowers' usual interpretation of -plex). Let's just say that a golapulusplex is a whole new level of hard to define than a golapulus is!
Gosslapulus = {10,10(0,1)100} & 10 = (10 ^ 100) + 1 & 10 & 10
Why not.
Golapulusfact / Golapulusblast = {10,100(1,1)2} & 10 = 10 ^ 100 + 1 & 10 & 10
Again, Why not??
Goxaplorglapulus / Gongxaplapulus = {10,100(2,1)2} & 10 = 10 ^ 100 + 2 & 10 & 10
Dulatriatrix = {3,3(0,2)2} & 3 = {3,3(3,1)2} & 3 = 3 ^ (3 + 3) & 3 & 3
Gongcosslapulus = {10,100(3,1)2} & 10 = 10 ^ 100 + 3 & 10
Gonggosslapulus = {10,100(10,1)2} & 10 = 10 ^ 100 + 10 & 10
Ginglapulus = {10,100(0,2)2} & 10 = {10,10(100,1)2} = 10 ^ 100 * 2 & 10 & 10
Ginglapulusfact = {10,100(1,2)2} & 10 = 10 ^ 100 * 2 + 1 & 10 & 10
...
Trilatriatrix = {3,3(0,3)2} & 3 = 3 ^ (3 * 3) & 3 & 3
Ganglapulus = {10,100(0,3)2} & 10 = 10 ^ 100 * 3 & 10 & 10
Geenglapulus = {10,100(0,4)2} & 10
Gownglapulus = {10,100(0,5)2} & 10
Gunglapulus = {10,100(0,6)2} & 10
Omnimatrix = {10,10(10,10)2} & 10 = {10,10(0,11)2} & 10 = 10 ^ 10 * 11 & 10 & 10
Bolapulus = {10,100(0,0,1)2} & 10 = 10 ^ 100 ^ 2 & 10 & 10
Bolapulusfact = {10,100(1,0,1)2} & 10
Bogolapullapulus = {10,100(0,1,1)2} & 10
Binglapulus = {10,100(0,0,2)2} & 10
Trimentriatrix = {3,3((1)1)2} & 3 = {3,3(0,0,0,1)2} & 3 = 3 ^ 3 ^ 3 & 3 & 3
Trolapulus = {10,100(0,0,0,1)2} & 10 = 10 ^ 100 ^ 3 & 10 & 10
Quadrolapulus = {10,100(0,0,0,0,1)2} & 10 = 10 ^ 100 ^ 4 & 10 & 10
Goplapulus = {10,100((1)1)2} & 10 = 10 ^ 10 ^ 100 & 10 & 10
Oh my gosh. there are a googolplex tens in the array structure, and a number with an array structure of that number!! How cool is that?!?
Wasn't googolplex a "very large number" back in the time of its invention?
Goduplapulus = {10,100((0,1)1)2} & 10 = 10 ^ 10 ^ 10 ^ 100 & 10 & 10
Quadrimentriatrix = 3 ^^ 5 & 3 & 3
Gotriplapulus = {10,100(((1)1)1)2} & 10 = 10 ^ 10 ^ 10 ^ 10 ^ 100 & 10 & 10
Quintimentriatrix = 3 ^^ 6 & 3 & 3
Quathragoth = 10 ^^ 100 & 10 & 10
Quite a BIIIIIIIG jump from a goppatoth. a goppatoth tens!!!
Extremexul = 200![1(1)[2 200,200,200,200]]
Quathrafact = (X^^X)*X[100] & 10 & 10
just so you know actually the very first X here is actually a X_2 but it'll make everything more complex and distracting so lets skip that detail.
Just so you know that its supposed to be there.
a tethrafact-like array of tens!
Quathradublath = X^((X^^X)*X)[100] & 10 & 10
A tethraduliath-ish array of tens. neat.
Quathragoth-eldre-quathradublathalon / Quathragoth-triggletetrate = X^X^((X^^X)*2)[100] & 10 & 10
Quantum quathragoth = X^^X|2[100] & 10 & 10
terrible tethrathoth tens??
Quantum quantum quathragoth = X^^X|3[100] & 10 & 10
Quathricombinator = 100^^(100+1) & 10 & 10
XRQ missed a & 10 but its most probably supposed to be there.
Duquathrated quathragoth / Dubalanced quathragoth = 100^^(100*2) & 10 & 10
And this is a dustaculated-tethrathoth array of tens
Quathradefault = 100^^(100^2) & 10 & 10
A tethracross array of tens what now??
Extremebixul = 200![1(1)[2 200,200,200,200,200]]
Quathratrece / Quathrasparkle = 100^^(100^3) & 10 & 10
Extremetrixul = 200![1(1)[2 200,200,200,200,200,200]]
Quathraquarton = 100^^(100^4) & 10 & 10
Extremequaxul = 200![1(1)[2 200,200,200,200,200,200,200]]
Quathraquinquon = 100^^(100^5) & 10 & 10
Quathrastrike = 100^^(100^100) & 10 & 10
Hypertriakulus = 3&3&3&3 = 3 ^^^ 3 & 3 & 3 = {3,4/2}
Quathrarxitri = 100^^^3 & 10 & 10
Quathrarxitet = 100^^^4 & 10 & 10
Bommthet = f_θ(Ω_2) (10)
Pentripluce / Kunglapulus = 10 ^^^ 100 & 10 & 10
a kungulus array of tens. great.
Quathrarxihect = 100 ^^^ 100 & 10 & 10
Quadrapulus = 10 ^^^^ 100 & 10 & 10
Excellent.
Quinquanheldremhun = 10 ^^^^^ 100 & 10 & 10
This number used to be called Sexanheldremhun but was changed because XRQ noticed that it had only 5 arrows.
Sexanheldremhun = 10 ^^^^^^ 100 & 10 & 10
same thing but with six arrows. Used to be called Septanheldremhun.
Septanheldremhun = 10 ^^^^^^^ 100 & 10 & 10
Octanheldremhun = {10,100,8} & 10 & 10
Nonanheldremhun = {10,100,9} & 10 & 10
Tridecadutrix = {10,10,10} & 10 & 10 = 3 & 10 & 10 & 10
Humolapulus = {10,10,100} & 10 & 10
Flastrechemorgulus / Corporadutrix = {10,100,1,2} & 10 & 10
Flastremorgulus / Humongatrix = {10,10,100,2} & 10 & 10
Trilastremorgulus = {10,10,100,3} & 10 & 10
Tetrakulus = 4&4&4&4 = {4,4/2} = {4,4,4,4} & 4 & 4
Tetlastremorgulus = {10,10,100,4} & 10 & 10
Generadutrix = {10,10,10,10} & 10 & 10 = 4 & 10 & 10 & 10
Treldesquinmorgulus = {10,10,10,100} & 10 & 10
Pentadecadutrix = 5 & 10 & 10 & 10
Hexadecadutrix = 6 & 10 & 10 & 10
Heptadecadutrix = 7 & 10 & 10 & 10
Octadecadutrix = 8 & 10 & 10 & 10
Ennadecadutrix / Nonadecadutrix = 9 & 10 & 10 & 10
Tasspergulus / Iteradutrix / Lineadutrix = 10 & 10 & 10 & 10 = {10,4/2} = {10,10,10,10,10,10,10,10,10,10} & 10 & 10
Elemongulus = {10,100(1)2} & 10 & 10
Emperadutrix = {10,10(1)10} & 10 & 10 = 2 + 1 & 10 & 10
Centikimcharcelkhandron = {10,10(1)100} & 10 & 10
Hyperladutrix = {10,10(1)10,10} & 10 & 10 = 2 + 2 & 10 & 10
Diteradutrix = {10,10(1)(1)2} & 10 & 10 = 10 + 10 & 10 & 10
Bronquelmingaspegolapule = {10,100(1)(1)2} & 10 & 10
Can you even pronounce this??
Admiradutrix = {10,10(1)(1)10} & 10 & 10
Goxxolopulus = {10,100(2)2} & 10 & 10
Coxxolopulus = {10,100(3)2} & 10 & 10
Teroxxolopulus = {10,100(4)2} & 10 & 10
Petoxxolopulus = {10,100(5)2} & 10 & 10
Exoxxolopulus = {10,100(6)2} & 10 & 10
Zettoxxolopulus = {10,100(7)2} & 10 & 10
Dimendecadutrix = {10,10(10)2} & 10 & 10 = 10 ^ 10 & 10 & 10 & 10
Golapulusplex = {10,10(100)2} & 10 & 10 = 10 ^ 100 & 10 & 10 & 10
finally another bowerism.
Vurdalquipothator = 10 ^^ 100 & 10 & 10 & 10
Keclokinge = 10 ^^^ 100 & 10 & 10 & 10
Tethrokinge = 10 ^^^^ 100 & 10 & 10 & 10
Quinquokinge = 10 ^^^^^ 100 & 10 & 10 & 10
Pentakulus = 5 & 5 & 5 & 5 & 5 = {5,5/2}
Lusspergulus = 10 & 10 & 10 & 10 & 10 = {10,5/2}
Golapulusduplex = 10^100 & 10 & 10 & 10 & 10
Hexakulus = 6 & 6 & 6 & 6 & 6 & 6 = {6,6/2}
Fesspergulus / Firrpergulus = 10 & 10 & 10 & 10 & 10 & 10 = {10,6/2}
Golapulustriplex = 10^100 & 10 & 10 & 10 & 10 & 10
Heptakulus = 7&7&7&7&7&7&7 = {7,7/2}
Josspergulus = {10,7/2}
Octakulus = 8&8&8&8&8&8&8&8 = {8,8/2}
Sosspergulus = {10,8/2}
Ennakulus = 9&9&9&9&9&9&9&9&9 = {9,9/2}
Besspergulus = {10,9/2}
Dekulus / Big Mac / Glosspergulus = 10&10&10&10&10&10&10&10&10&10 = {10,10/2}
A hamburger of tens.
Gasspergulus = {10,11/2}
Endekakulus = {11,11/2}
Supergulus = {10,12/2}
Dodekakulus = {12,12/2}
Lower bound for SCG(13)
Oh my gosh. In fact Douglas Shamlin Jr. states that SCG(7) might even pass this lower bound.
What's incredible is that this is not even the biggest number that appears in professional mathematics.
Harvey friedman proposed something called finite promise games, which even beats Loader's numbers.
But we have to move on... We have just started with legion arrays...
Vesspergulus = {10,13/2}
Triadekakulus = {13,13/2}
Musspergulus = {10,14/2}
Tetradekakulus = {14,14/2}
Pysspergulus = {10,15/2}
Pentadekakulus = {15,15/2}
Husspergulus = {10,20/2}
Trosspergulus = {10,30/2}
Basspergulus = {10,40/2}
Hasspergulus = {10,50/2}
Nesspergulus = {10,90/2}
Ennacontakulus = {90,90/2}
Septuple Stacker King = {91,91/2}
Ennaennacontakulus = {99,99/2}
The Whopper = {10,100/2}
A very big hamburger of tens.
Hectakulus = {100,100/2}
Droppol = s(10,100{1,,1,2}2)
Proably the start of 1,,n arrays?...
Sprach Zarathusthra = E100{#,#/2}100
The largest "defined" googolism that Sbiis Saibian has coined.
Octuple Stacker King = {104,104/2}
Nucleabixul = 200![[[200 200]200]]
How is Nucleabixul soooo much bigger than Nucleaxul?
Chiliakulus = {1000,1000/2}
Quettakulus = {10^30,10^30/2}
Limakulus = {10^63,10^63/2}
Googolasspergulus = {10,10^100/2}
Googolakulus = {10^100,10^100/2}
Triakulusplex = {3,3,2/2} = {3,{3,3/2}/2}
And now for part 7!