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Giggolplex is equal to {10,giggol,2} in BEAF, or 10 tetrated to giggol. Thus, it is equal to giggol10 = 1010...1010, where there are giggol tens.[1] The term was coined by Jonathan Bowers.

This number is also called hectalogialogue by Sbiis Saibian, and equal to E1#giggol = E1#(E1#100) = E1#100#2 in Hyper-E notation.[2]

Aarex Tiaokhiao calls this number giggolduex.[3]

Username5243 calls this number doogolplex and doogolduex.[4]

Binary198 calls this number doobol (double+googol), and it's equal to {10, 0, 1 (1) 10, 0, 1 (1) 100, 0, 1} = {10, {10, 100, 1}, 1} in BIP-array Notation.[5]

DeepLineMadom calls this number quadoogolplex, and it's equal to 10[4]10[4]100 using DeepLineMadom's Array Notation.[6]

## Etymology

The name of the number is based on suffix -plex and the number giggol.

## Approximations in other notations

Notation Approximation (or exact value)
Up-arrow notation $$10 \uparrow\uparrow (10 \uparrow\uparrow 100)$$ (exact)
Hyper-E notation $$\textrm{E}1\#100\#2$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow 100 \rightarrow 2) \rightarrow 2$$ (exact)
Hyperfactorial array notation $$(102!1)!1$$
Fast-growing hierarchy $$f^2_3(98)$$
Hardy hierarchy $$H_{(\omega^3) 2}(100)$$
Slow-growing hierarchy $$g_{\varepsilon_{\varepsilon_0}}(100)$$

## Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
2. Saibian, Sbiis. 4.3.2 - Hyper-E Notation - Large Numbers. Retrieved 2016-08-04.
3. Username5243. Part 1 - My Large Numbers. Retrieved 2017-01-15.
4. A mathematical journey, retrieved 2021-09-23
5. DeepLineMadom's googology - Numbers I've coined (Retrieved 4 May 2022)

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex/quinplex) · giggol(plex/duplex) · gaggol(plex/duplex) · geegol(plex) · gigol(plex) · goggol(plex) · gagol(plex)
Boogol series: boogol(plex/duplex/triplex) · biggol(plex/duplex) · baggol(plex) · beegol(plex) · bigol · boggol · bagol
Troogol series: troogol(plex/duplex) · triggol(plex/duplex) · traggol(plex/duplex) · treegol · trigol · troggol · tragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintagol
Sextoogol series: sextoogol · septoogol · octoogol
Goobol series: goobol(plex) · gibbol · gabbol · geebol · gibol · gobbol · gabol
Boobol series: boobol · bibbol · babbol · beebol · bibol · bobbol · babol
Troobol series: troobol · tribbol · trabbol
Gootrol series: gootrol · gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol
Bootrol series: bootrol · trootrol · quadrootrol
Gossol series: gossol(plex) · gissol · gassol · geesol(plex) · gussol
Mossol series: mossol(plex) · missol · massol · meesol · mussol
Bossol series: bossol · bissol · bassol · beesol · bussol
Trossol series: trossol · trissol · trassol · treesol · trussol · (quadrossol · quintossol)
Dubol series: dubol · dutrol · duquadrol · dossol(plex)

Doogol Regiment
Higher basic series
2-entry series
Linear series
Two-row series

Note: The readers should be careful that numbers defined by Username5243's Array Notation are ill-defined as explained in Username5243's Array Notation#Issues. So, when an article refers to a number defined by the notation, it actually refers to an intended value, not an actual value itself (for example, a[c]b = $$a \uparrow^c b$$ in arrow notation). In addition, even if the notation is ill-defined, a class category should be based on an intended value when listed, not an actual value itself, as it is not hard to fix all the issues from the original definition, hence it should not be removed.