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Quadroppatoth is equal to \(100\uparrow\uparrow(100^4)\ \&\ 10\) using the array of operator and BEAF.[1] The term was coined by Cookie Fonster. Since BEAF has not been formalised by Bowers at this level, this number is currently ill-defined.

Approximations

Since it is not defined by now, the following approximation is just an expected value under climbing method (strong bound):

Notation Approximation
Extended Cascading-E Notation \(\textrm{E}10\text{#^^####}101\)
Bird's array notation \(\{100,50 [1 \backslash 1 \backslash 1 \backslash 1 \backslash 2] 2\}\)
Hyperfactorial array notation \(100![1] w/7\)
Fast-growing hierarchy \(f_{\varphi(4,0)}(100)\) (debatable)
Hardy hierarchy \(H_{\varphi(4,0)}(100)\) (debatable)
Slow-growing hierarchy \(g_{\vartheta(\varphi(4,\Omega+1))}(101)\) (debatable)

Sources

  1. Pointless Gigantic List of Numbers - Part 5: The Higher GiantsPointless Large Number Stuff. Retrieved 2017-06-08.

See also

Jonathan Bowers' array of series

Higher tetration level: Gotriplexulus · Goppatoth · Goppatothplex
Pentation level: Triakulus · Kungulus · Kungulusplex
Higher operation group: Quadrunculus · Tridecatrix · Humongulus
Lineational group: Tetdecatrix · Pendecatrix · Hexdecatrix · Hepdecatrix · Ocdecatrix · Endecatrix · Lineatrix · Lineatrixplex
Golapulus group: Golapulus · Golapulusplex · Dekulus
Cookie Fonster's extensions: Second Goppatoth · Gippatoth · Gappatoth · Geepatoth · Boppatoth · Troppatoth · Quadroppatoth · Humongulusplex · Tridecatrax · Tridecatreex · Tridecatrowx · Tridecatrux · Gonguldeus · Humingulus · Gongultreus · Humangulus · Gongulquadeus · Possible interpretation of tetrakulus · Humeengulus · Generatrix · Incredulus · Incridulus · Incradulus · Increedulus · Tercredulus · Tercridulus · Tercradulus · Tercreedulus · Pencredulus · Excredulus · Epcredulus · Ogcredulus · Goobawamba · Gibbawamba · Gabbawamba · Boobawamba · Troobawamba · Goobawantra · Emperatrix · Gossablossla · Hyperlatrix · Goobaduamba · Goobatriombia · Goobaquardimbia · Goobaquindingia · Goobasesixtia · Goobasebiptia · Goobagogdiktia · Goobanogdiktia · Xaplorgulus · Goobadektimtia · Goxxablorg · Gooxadworg · Goxxathrorg · Goxxaquorg · Cosslorgulus · Tesslorgulus · Pesslorgulus · Hesslorgulus · Zesslorgulus · Yosslorgulus · Brosslorgulus · Gosslorgulus · Mosslorgulus · Hasslorgulus · Kysslorgulus · Pisslorgulus · Sasslorgulus · Pexxlorgulus · Nisslorgulus · Zozzlorgulus · Ginglapulus · Ganglapulus · Geenglapulus · Bolapulus · Trolapulus · Goplapulus · Goduplapulus · Gotriplapulus · Hypertriakulus · Tetrakulus · Pentakulus · Hexakulus · Heptakulus · Oktakulus · Ennakulus · Big Mac · The Whopper

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