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Boogolplex is equal to {10,10,boogol} or {10,10,{10,10,100}} in BEAF.[1] It is equal to $$10 \uparrow\uparrow ... \uparrow\uparrow10$$ in arrow notation, where there are boogol ↑'s. The term was coined by Jonathan Bowers.

Aarex Tiaokhiao calls this number golsolplex or golsol-golsoler and is equal to s(10,s(10,100,1,2),1,2) = s(10,s(10,10,100),1,2) = s(10,10,s(10,10,100)) in strong array notation. [2]

## Contents

### Etymology

The name of this number is based on the suffix "-plex" and the number "boogol".

### Approximations in other notations

Notation Approximation
Bird's array notation $$\{10,10,\{10,10,100\}\}$$ (exactly equal)
Hyper-E notation $$\textrm{E}100\#\#100\#2$$
Chained arrow notation $$10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow 100)$$ (exactly equal)
Graham Array Notation $$[10,10,100,2]$$ (exactly equal)
Hyperfactorial array notation $$12!(12!99)$$
Fast-growing hierarchy $$f_{\omega}(f_{\omega}(101))$$
Hardy hierarchy $$H_{(\omega^{\omega})2}(101)$$
Slow-growing hierarchy $$g_{\varphi(\varphi(99,0),0)}(100)$$

### Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
2. Part 1 (LAN) - Aarex's Googology (archived) (retrieved 2017-02-25)

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 · quintoggol · quintagol · (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