The troogolduplex is equal to {10,10,10,troogolplex} in BEAF.[1] The term was coined by Chris Bird.
Etymology
The name of the number is based on suffix "-plex" and the number troogol.
Approximations
Notation | Approximation |
---|---|
Bird's array notation | \(\{10,10,10,\{10,10,10,\{10,10,10,100\}\}\}\) (exactly equal) |
Hyper-E notation | \(E100\#\#\#100\#3\) |
Chained arrow notation | \(100 \rightarrow_2 (100 \rightarrow_2 (100 \rightarrow_2 100))\) |
Fast-growing hierarchy | \(f_{\omega^2}(f_{\omega^2}(f_{\omega^2}(100)))\) |
Hardy hierarchy | \(H_{(\omega^{\omega^2}) 3}(100)\) |
Slow-growing hierarchy | \(g_{\varphi(99,\varphi(99,\varphi(99,99,0),0),0)}(100)\) |
Sources
- ↑ Bowers, Jonathan. Size 4 Arrays. Retrieved March 2014.
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)