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The goggol is equal to \(\{10,100,6\}\) in BEAF.[1] The term was coined by Jonathan Bowers.
Goggol

Visual representation of a goggol

This number is also called hecta-eptaxis (formerly hecta-eptaksys) by Sbiis Saibian, and it's equal to E1#1#1#1#1#100 in Hyper-E notation.[2]

Approximations Edit

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

Sources Edit

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
  2. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-04-16.

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)


Saibian's power towers of 10s

-logue series: Dialogue · Trialogue · Tetralogue · Pentalogue · Hexalogue · Heptalogue · Octalogue · Ennalogue · Dekalogue · Endekalogue · Dodekalogue · Triadekalogue · Tetradekalogue · Pentadekalogue · Hexadekalogue · Heptadekalogue · Octadekalogue · Ennadekalogue · Icosalogue · Triantalogue · Terantalogue · Penantalogue · Exatalogue · Eptatalogue · Ogdatalogue · Entatalogue · Hectalogue · Chilialogue · Myrialogue
-taxis series: Tria-taxis · Tetra-taxis · Penta-taxis · Hexa-taxis · Hepta-taxis · Octa-taxis · Enna-taxis · Deka-taxis · Hecta-taxis · Chilia-taxis · Myria-taxis
-petaxis series: Tria-petaxis · Tetra-petaxis · Penta-petaxis · Hexa-petaxis · Hepta-petaxis · Octa-petaxis · Enna-petaxis · Deka-petaxis · Hecta-petaxis · Chilia-petaxis · Myria-petaxis
-exaxis series: Tria-exaxis · Tetra-exaxis · Deka-exaxis · Hecta-exaxis · Chilia-exaxis · Myria-exaxis
-eptaxis series: Tria-eptaxis · Tetra-eptaxis · Deka-eptaxis · Hecta-eptaxis · Chilia-eptaxis · Myria-eptaxis
-octaxis series: Tria-octaxis · Tetra-octaxis · Deka-octaxis · Hecta-octaxis · Chilia-octaxis · Myria-octaxis
-ennaxis series: Tria-ennaxis · Tetra-ennaxis · Deka-ennaxis · Hecta-ennaxis · Chilia-ennaxis · Myria-ennaxis
-dekaxis series: Tria-dekaxis · Tetra-dekaxis · Deka-dekaxis · Hecta-dekaxis · Chilia-dekaxis · Myria-dekaxis
-endekaxis series: Tria-endekaxis · Tetra-endekaxis · Deka-endekaxis · Hecta-endekaxis · Chilia-endekaxis · Myria-endekaxis
-dodekaxis series: Tria-dodekaxis · Tetra-dodekaxis · Deka-dodekaxis · Hecta-dodekaxis · Chilia-dodekaxis · Myria-dodekaxis

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