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Gigolplex (formerly gygolplex[1]) is equal to {10,gigol,5} in BEAF.[2] The number was coined by Jonathan Bowers. In up-arrow notation, it can be written as $$10 \uparrow^5 \text{gigol}$$.

Aarex Tiaokhiao calls this number gigolquinex.[3]

## Etymology

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

## Approximations

Notation Approximation
Hyper-E notation $$\textrm E1\#1\#1\#1\#(\textrm E1\#1\#1\#1\#100)$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow 100 \rightarrow 5) \rightarrow 5$$ (exact)
Hyperfactorial array notation $$(102!4)!4$$
Fast-growing hierarchy $$f_6(f_6(100))$$
Hardy hierarchy $$H_{(\omega^6) 2}(100)$$
Slow-growing hierarchy $$g_{\varphi(4,\varphi(4,0))}(100)$$

## 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