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Troggol is equal to $$\{10,10,10,100,6\}$$ in BEAF.[1] The term was coined by Chris Bird.

## Contents

### Etymology

The name of the number is based on Latin prefix "tri-" and the number "goggol".

### Approximations

Notation Approximation
Bird's array notation $$\{10,10,10,100,6\}$$ (exactly equal)
Hyper-E notation $$\textrm E100\#\#\#100\#\#\#100\#\#\#100\#\#\#100\#\#\#100\#\#\#100$$
Chained arrow notation $$100 \rightarrow_7 100$$
Fast-growing hierarchy $$f_{(\omega^2) 6}(100)$$
Hardy hierarchy $$H_{\omega^{(\omega^2) 6}}(100)$$
Slow-growing hierarchy (with this system of fundamental sequences) $$g_{\varphi(5,\omega,\omega,0)}(100)$$

### Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

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
Gootrol series: gootrol · gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol
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)