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

### 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 $$E100\#\#\#100\#\#\#100\#\#\#100\#\#\#100\#\#\#100\#\#\#100$$
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 $$g_{\varphi(5,\omega,\omega,0)}(100)$$

### Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex) · 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(plex) · boggol(plex) · bagol(plex)
Troogol series: troogol(plex/duplex) · triggol(plex) · traggol(plex) · treegol(plex) · trigol(plex) · troggol(plex) · tragol(plex)