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Goggolplex

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The goggolplex is equal to {10,goggol,6} in BEAF.[1] The term was coined by Jonathan Bowers. In up-arrow notation, it can be written as \(10 \uparrow^6 \text{goggol}\).

Aarex Tiaokhiao calls this number goggolhex.[2]

Etymology Edit

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

Approximations Edit

Notation Approximation
Hyper-E notation \(E1\#1\#1\#1\#1\#(E1\#1\#1\#1\#100)\) (exact)
Chained arrow notation \(10 \rightarrow (10 \rightarrow 100 \rightarrow 6) \rightarrow 6\) (exact)
Hyperfactorial array notation \((102!5)!5\)
Fast-growing hierarchy \(f_7(f_7(100))\)
Hardy hierarchy \(H_{(\omega^7) 2}(100)\)
Slow-growing hierarchy \(g_{\varphi(5,\varphi(5,0))}(100)\)

Sources Edit

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
  2. Part 1 (LAN) - Aarex Googology

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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