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Gagolplex is equal to {10,gagol,7} in BEAF.[1] The term was coined by Jonathan Bowers. In up-arrow notation, it can be written as $$10 \uparrow^7 \text{gagol}$$.

Aarex Tiaokhiao calls this number gagolhepex.[2]

## Etymology

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

## Approximations

Notation Approximation
Hyper-E notation $$\textrm{E}1\#1\#1\#1\#1\#1\#(\textrm E1\#1\#1\#1\#1\#1\#100)$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow 100 \rightarrow 7) \rightarrow 7$$ (exact)
Hyperfactorial array notation $$(102!6)!6$$
Fast-growing hierarchy $$f_8(f_8(100))$$
Hardy hierarchy $$H_{(\omega^8) 2}(100)$$
Slow-growing hierarchy $$g_{\varphi(6,\varphi(6,0))}(100)$$

## Sources

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