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The goggolplex is equal to {10,goggol,6} in BEAF.[1] The term was coined by Jonathan Bowers. In up-arrow notation, it can be written as $$10 \uparrow^6 \text{goggol}$$.

Aarex Tiaokhiao calls this number goggolhex.[2]

## Etymology

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

## Approximations

Notation Approximation
Hyper-E notation $$E1\#1\#1\#1\#1\#(E1\#1\#1\#1\#100)$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow 100 \rightarrow 6) \rightarrow 6$$ (exact)
Hyperfactorial array notation $$(102!5)!5$$
Fast-growing hierarchy $$f_7(f_7(100))$$
Hardy hierarchy $$H_{(\omega^7) 2}(100)$$
Slow-growing hierarchy $$g_{\varphi(5,\varphi(5,0))}(100)$$

## Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
2. Part 1 (LAN) - Aarex Googology

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)