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Baggolplex is equal to {10,10,baggol,3} in BEAF.[1] The term was coined by Chris Bird.[citation needed] It is comparable to gugoltesla-plexitetris.

Etymology

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

Approximations

Notation Lower bound Upper bound
Chained arrow notation $$100 \rightarrow 100 \rightarrow 100 \rightarrow 100 \rightarrow 2 \rightarrow 2$$ $$100 \rightarrow 100 \rightarrow 100 \rightarrow 101 \rightarrow 2 \rightarrow 2$$
Hyper-E notation $$\textrm{E}10\#\#100\#\#100\#\#101\#2$$ $$\textrm{E}11\#\#100\#\#100\#\#101\#2$$
Bird's array notation $$\{10,10,\{10,10,100,3\},3\}$$
Strong array notation s(10,3,2,4) s(11,3,2,4)
Fast-growing hierarchy $$f_{\omega 3}(f_{\omega 3}(100))$$ $$f_{\omega 3}(f_{\omega 3}(101))$$
Hardy hierarchy $$H_{(\omega^{\omega 3}) 2}(100)$$ $$H_{(\omega^{\omega 3}) 2}(101)$$
Slow-growing hierarchy $$g_{\varphi(2,\varphi(2,\omega,0),0)}(100)$$ $$g_{\varphi(2,\varphi(2,\omega,0),0)}(101)$$

Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

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