11,328
pages

The quadroogolplex is equal to {10,10,10,10,quadroogol} in BEAF.[1] The term was coined by Jonathan Bowers.

Contents

Etymology

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

Approximations

Notation Approximation
Bird's array notation $$\{10,10,10,10,\{10,10,10,10,100\}\}$$ (exactly equal)
Hyper-E notation $$\textrm E100\#\#\#\#100\#2$$
Chained arrow notation $$100 \rightarrow_{100 \rightarrow_{101} 100} 100$$
Fast-growing hierarchy $$f_{\omega^3}(f_{\omega^3}(100))$$
Hardy hierarchy $$H_{(\omega^{\omega^3}) 2}(100)$$
Slow-growing hierarchy $$g_{\varphi(99,99,\varphi(99,99,99,0),0)}(100)$$

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