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Gaggolduplex is equal to {10,gaggolplex,3} in BEAF.[1] It is also called hectataxiataxia-taxis by Sbiis Saibian, and it's equal to E1#1#100#3 in Hyper-E notation.[2]

Username5243 calls this number toogolduplex, and it's equal to 10[3]10[3]10[3]100 in Username5243's Array Notation.[3]

## Approximations in other notations

Notation Approximation
Up-arrow notation $$10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 100$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow (10 \rightarrow 100 \rightarrow 3) \rightarrow 3) \rightarrow 3$$ (exact)
Hyper-E notation $$\textrm E1\#1\#100\#3$$ (exact)
Hyperfactorial array notation $$((102!2)!2)!2$$
BEAF $$\{10,\{10,\{10,100,3\},3\},3\}$$ (exact)
Fast-growing hierarchy $$f_4(f_4(f_4(100)))$$
Hardy hierarchy $$H_{\omega^43}(100)$$
Slow-growing hierarchy $$g_{\zeta_{\zeta_{\zeta_0}}}(100)$$

## 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