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Boggol

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The boggol is equal to \(\{10,10,100,6\}\) in BEAF.[1] The term was coined by Chris Bird. Jonathan Bowers jokingly says about this number, "Boggles the mind, doesn't it?"

Etymology Edit

The name of the number is based on Latin prefix "bi-" and the number "goggol".

Approximations Edit

Notation Approximation
Bird's array notation \(\{10,10,100,6\}\) (exactly equal)
Hyper-E notation \(E100\#\#100\#\#100\#\#100\#\#100\#\#100\#\#100\#\#100\)
Chained arrow notation \(10 \rightarrow 10 \rightarrow 10 \rightarrow 10 \rightarrow 10 \rightarrow 10 \rightarrow 10 \rightarrow 100\)
Fast-growing hierarchy \(f_{\omega 6}(100)\)
Hardy hierarchy \(H_{\omega^{\omega 6}}(100)\)
Slow-growing hierarchy \(g_{\varphi(5,99,0)}(100)\)

Sources Edit

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See also Edit

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)
Quadroogol series: quadroogol(plex) · quadriggol(plex) · quadraggol · quadreegol · quadrigol · quadroggol · quadragol
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 · treebol · tribol · trobbol · trabol
Quadroobol series: quadroobol · quadribbol · quadrabbol · quadreebol · quadribol · quadrobbol · quadrabol · (quintoobol)
Gootrol series: gootrol · (gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol) · bootrol · trootrol · quadrootrol · gooquadrol · booquadrol · trooquadrol · quadrooquadrol · (gooquintol)
Gossol series: gossol(plex) · gissol(plex) · gassol(plex) · geesol(plex) · gussol(plex)
Mossol series: mossol(plex) · missol · massol · meesol · mussol
Bossol series: bossol · bissol · bassol · beesol · bussol
Trossol series: trossol · trissol · trassol · treesol · trussol · (quadrossol · quintossol)
Dubol series: dubol · dutrol · duquadrol · dossol(plex)

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