The gaggolplex is equal to {10,gaggol,3} in BEAF, or 10 pentated to the gaggol.[1] The term was coined by Jonathan Bowers.
Gaggolplex is equal to E1#1#gaggol in Hyper-E notation.
The number can be computed as follows:
- Let N1 be 10.
- Let N2 be 1010...1010 where there are N1 tens.
- Let N3 be 1010...1010 where there are N2 tens.
- Continue in this fashion.
- Gaggolplex is N(N(100)).
Approximations
| Notation | Approximation |
|---|---|
| Hyper-E notation | \(E1\#1\#100\#2\) (exactly equal) |
| Chained arrow notation | \(10 \rightarrow (10 \rightarrow 100 \rightarrow 3) \rightarrow 3\) (exactly equal) |
| Hyperfactorial array notation | \((102!3)!3\) |
| Fast-growing hierarchy | \(f_4(f_4(100))\) |
| Hardy hierarchy | \(H_{(\omega^4) 2}(100)\) |
| Slow-growing hierarchy | \(g_{\zeta_{\zeta_0}}(100)\) |
Etymology
The name of the number is based on suffix -plex and the number gaggol.
Sources
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
See also
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
Quadroogol series: quadroogol(plex/duplex) · quadriggol(plex) · quadraggol · quadreegol · quadrigol · quadroggol · quadragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintagol
Sextoogol series: 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
Quadroobol series: quadroobol · quadribbol · quadrabbol · (quintoobol)
Gootrol series: gootrol · gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol
Bootrol series: bootrol · trootrol · quadrootrol
Gooquadrol series: gooquadrol · booquadrol · quadreequadrol · (gooquintol)
Gossol series: gossol(plex) · gissol · gassol · geesol(plex) · gussol
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)